DOCSLIB.ORG

April 1974 Table of Contents

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text

Load more

Calendar This Calendar lists all of the meetings which have been approved by the Council up to the date this issue of the cNOtiuiJ was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the American Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is particularly true of meetings to which no numbers have yet been assigned. Abstracts should be submitted on special forms which are available in most departments of mathematics; forms can also be obtained by writing to the headquarters of the Society. Abstracts to be presented at the meeting in person must be received at the headquarters of the Society in Providence, Rhode Island, on or before the deadline for the meeting. Meeting Deadline for Abstracts* Number Date Place and News Items 715 May 13-18, 1974 DeKalb, Illinois March 27, 1974 August 1974 No summer meeting; inter­ June 15, 1974 national Cougress(see below) (News items only) 716 October 26, 1974 Middletown, Connecticut Sept. 3, 1974 717 November 8-9, 1974 Nashville, Tennessee Sept. 25, 1974 718 November 22-23, 1974 Los Angeles, California Sept. 25, 1974 719 November 23, 1974 Houston, Texas Sept. 25, 1974 720 January 23-27, 1975 Washington, D. C. Nov. 6, 1974 (81st Annual Meeting) April 18-19, 1975 Monterey, California August 18-22, 1975 Kalamazoo, Michigan January 22-26, 1976 San Antonio, Texas (82nd Annual Meeting) *Deadline for abstracts not presented at a meeting (by title). August 1974 issue: June 8 October 1974 issue: August 29 OTHER EVENTS August 21-29, 1974 International Congress of Mathematicians Vancouver, B. C., Canada April 15, 1974 The zip code of the Post Office Box of the Society has been changed from 02904 to 02940. Corre­ spondents are requested to note this change in their records. Please aJJ"ll[ the peel-off label on these cNotiuiJ to correspondence with the Society concerning fiscal matters, changes of address, promotions, or when placing orders for books and journals. The c}/otiuiJ of the American Mathematical Society is published by the American Mathematical Society, P. 0. Box 6248, Providence, Rhode Island 02940, in January, February, April, June, August, October, November, and December. Price per annual volume is $10. Price per copy $3. Special price for copies sold at registration desks of meetings of the Society, $1 per copy. Subscriptions, orders for back numbers (back issues of the last two years only are available), and inquiries should be addressed to the American Mathematical Society, P. 0. Box 6248, Providence, Rhode Island 02940. Second class postage paid at Providence, Rhode Island, and additional mailing offices. Copyright© 1974 by the Americao Mathematical Society Printed in the United States of America OF THE AMERICAN MATHEMATICAL SOCIETY Everett Pitcher and Gordon L. Walker, Editors Wend ell H. Fleming, Associate Editor CONTENTS MEETINGS Calender of Meetings • • • • • • • • • . • • • • • • • • • . • • • • . • • • • • • • • • • • • • • • • • • • Inside Front Cover Program for the April Meeting in New York •••••••••••• o. • • • • • • • • • • • • • • • • • • • • • • • • • 136 Abstracts for the Meeting: A-386-A-408 Program for the April Meeting in Santa Barbara •••••• 0.......................... 144 Abstracts for the Meeting A-409-A-413 PRELIMINARY ANNOUNCEMENTS OF MEETINGS .. •. .. .... • • .. • • .. • • • .. • .. .. .. • .. .. • 147 INVITED SPEAKERS AT AMS MEETINGS • . • • • • • • . • • • • • . • • • • • • • • • • • • • • • • • . • • • • • • • • • • • • • 151 CHAIRMEN AND TOPICS OF SPECIAL SESSIONS • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • 151 NATIONAL SCIENCE FOUNDATION BUDGET • • .. • • .. .. • • .. .. .. .. • • .. .. • • • .. .. .. • .. .. • 152 COMBINED MEMBERSHIP LIST 1974-1975 • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • . • • • • • • • • • • • 154 HOW TO TALK MATHEMATICS • • • • • . • • • • • • • • • . • • • • . • • • • • • • • • • • • • • • . • • • • • • • • • • • • • • • • • 155 LETTERS TO THE EDiTOR • . • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • 158 QUERIES • • • • • • . • • • • • • • • • • • • • • • • • • • • • • • • • • • • . • • • • • • • • • • • • • • • • • • • • • • • • • • • • • . • • . • • • • • • 159 SPECIAL MEETINGS INFORMATION CENTER .. .. .. • .. • • • .. • .. .. .. • .. • • • • .. • • .. .. ..• • 161 NEW AMS PUBLICATIONS • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • 163 PERSONAL ITEMS • • • • • • • • . • • • • . • • • • • • • • • • • • . • • • • . • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • . • • 165 NEWS ITEMS AND ANNOUNCEMENTS • • • .. • .. .. • .. • .. • • .. .. • • • • • • .. .. • • • .. • 160, 164, 168 SUMMER GRADUATE COURSES (Supplementary List) • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • 169 ASSISTANTSHIPS AND FELLOWSHIPS IN MATHEMATICS IN 1974-1975 (Supplementary List) • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • . • • • • • • • • • • • • • • • • • • • 169 ERRATA TO ABSTRACTS •••.•••••••.•.••••.• o. • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • 170 ABSTRACTS .••••••••••••.••••••••••••.••••..•••••••••.••••••••••••••••••••••••••••• A-363 SITUATIONS WANTED •••••••.•••••••. o ••••••••••••••••••••••••••••••••••••••••••••• A -413 RESERVATION FORM •• o •••••• o ••••••• o •• o o ••••••••••••• o o o •• , •• o •• o ••• o •• o •• , • o •••• A -430 The Seven Hundred Thirteenth MeetiDg Biltmore Hotel New York, New York April10 -13, 1974 The seven hundred thirteenth meeting of the symposium on Mathematical Aspects of American Mathematical Society will be held at Chemical and Biochemical Problems and the Biltmore Hotel, Madison Avenue at 43rd Quantum Chemistry is to be held on Wednesday Street, New York, New York, from Wednesday, and Thursday, April10 and 11. This topic was April10, through Saturday, April13, 1974, in selected by the AMS-SIAM Committee on Applied conjunction with the 1974 spring meeting of the Mathematics whose members are Earl A. Association for Symbolic Logic. Coddington, Hirsh G. Cohen (chairman), Lester By invitation of the Committee to Select E. Dubins, Harold Grad, J. Barkley ~osser, Hour Speakers for Eastern Sectional Meetings, and Richard S. Varga. The symposium is a there will be four one-hour addresses. Professor further attempt at encouraging and broadening Sol I. Rubinow of the Graduate School of Medical the inter-disciplinary research in the several Sciences, Cornell University, and the Sloan­ wide fields of mutual interest which exist be­ .Kettering Institute will speak on "Some mathe­ tween certain mathematicians, applied mathe­ matical problems in biology" at 11:00 a.m. on maticians, and researchers in chemical re­ Friday, April12. Professor George C. action theory, biochemistry, and quantum Papanicolaou of the Courant Institute of Mathe­ chemistry. The Organizing Committee includes matical Sciences, New York University, will DonaldS. Cohen (chairman), Hirsh G. Cohen, speak on "Asymptotic methods for stochastic Julian D. Cole, George R. Gavalas, and Aron equations" at 2:00p.m. on Friday, April12. Kupperman. Professor Serge Lang of Yale University will The program will consist of ten lectures. speak on "Higher dimensio.Qal diophantine prob­ The list of speakers includes Neal R. Amundson lems" at 11:00 a.m. on Saturday, April13. (University of Minnesota), Rutherford Aris (Uni­ Professor William P. Thurston of the Massachu­ versity of Minnesota), Joseph Higgins (The John­ setts Institute of Technology will speak on "The son Research Foundation, University of Pennsyl­ existence of foliations" at 2:00p.m. on Saturday, vania), Fritz Horn (University of Rochester), April13. Louis N. Howard (Massachusetts Institute of There will be two special sessions. Pro­ Technology), James C. Keck (Massachusetts fessor V. Lakshmikantham of the University of Institute of Technology), Herbert B. Keller (Cali­ Rhode Island and the University of Texas at fornia Institute of Technology), Aron Kupperman Arlington has organized a special session on (California Institute of Technology), Gregoire Nonlinear Problems in Differential and Integral Nicolls (Universite Libre de Bruxelles), and Equations for Friday afternoon and Saturday Arthur T. Winfree (Purdue University). The sym­ morning; speakers will be Bernard A. Asner, posium will be held in the Grand Ballroom of the Jr., Constantin Corduneanu, Paul William Davis, Biltmore Hotel both days. Jerome Eisenfeld, John R. Haddock, Athanassios G. Kartsatos, Gangaram s. Ladde, S. Leela, MEETING OF THE ASSOCIATION A. Richard Mitchell. Some of the talks will be FOR SYMBOLIC LOGIC based on papers with joint authorship which is in­ Invited addresses and sessions for con­ dicated in each case in the program of the ses­ tributed papers for the spring meeting of the sions. Professor Herbert S. Wilf of the Uni­ Association for Symbolic Logic are scheduled to versity of Pennsylvania and Rockefeller Univer­ sity has organized a special session on Combina­ be held in the Marlborough Room of the Biltmore Hotel oli April12-13. Programs, listing tiUes torial Algorithms for Saturday morning and and times for individual papers, will be available afternoon; speakers will be Jack Edmonds, at the registration desk located in the Key Room. Daniel J. Kleitman, Albert Nijenhuis, There will be two sessions for contributed Gian-Carlo Rota,
Recommended publications
  • EMU Services Satisfy Student Patrons

    EMU Services Satisfy Student Patrons

    News and Views February 5, 2001 EMU services satisfy student patrons According to the results of a study last spring, student patrons of the Erb Memorial Union are satisfied with the services and activities provided by the EMU. The survey, which was conducted in April by the Association of College Unions International (ACUI) and Educational Benchmark, Inc. (EBI), offered feedback from about 400 students about what is working in the EMU and what needs to be improved. "We learned a number of things from this survey, " says Lee LaTour, EMU marketing director. "Student patrons are pleased with the variety and quality of services we offer. But more importantly, students told us that the out-of-classroom opportunities offered throughout the EMU enhance their overall educational experience." Students indicated that they consider the EMU to be a safe, welcoming and enjoyable place that fulfills its mission as the center of college community life. The survey also revealed that the newly remodeled food service area is a big hit. Students gave the EMU high marks for the quality and variety of food available and for the dining areas' cleanliness and atmosphere. Although the information from last spring's survey provided a lot of positive feedback, LaTour says the EMU staff will be looking forward to the results of the 2001 ACUI/EBI survey of EMU patrons this spring. http://comm.uoregon.edu/newsview/2-5-01.html (1 of 6)8/8/2007 3:59:35 AM News and Views "Then, we will be able to evaluate our improvements and see what the trends are in students' perceptions of the union's services and activities," she says.
  • In the Fall of 1977, He Researched and Conducted a Seminar In

    In the Fall of 1977, He Researched and Conducted a Seminar In

    The Bakke Case and the University of Pennsylvania (Meyerson) SPEAKING OUT " NEWS " GRANT DEADLINES LEAVES " United Way " THINGS TO DO SUPPLEMENT: Bakke Brief Published Weekly by the University of Pennsylvania Volume 24, Number 8 October 25, 1977 FREEZE ON HIRING The State appropriation request for the University includes million for On October 21, President Martin Meyerson put into effect the approximately $7 the Medical, Dental and Veterinary schools and million for student aid and first in a series of contingency actions to deal with the $10 general instruction, which is divided the rest of the appropriation and tax impasse in Harrisburg: a suspension of all among University's programs. The Senate has for hiring and internal transfer of staff. On the same day a group of already passed non-preferred appropriations Penn State. and Lincoln. The faculty Senate leaders and deans began a series of meetings with Temple, Pittsburgh Legislature meantime must still find a of the the Provost and the President on steps for dealing with the way funding appropriations. financial future. University's BAKKE BRIEF: IN ALMANAC HARRISBURG: CALL FOR REVERSAL In this issue Almanac publishes the full text of the Bakke Brief The Pennsylvania State Senate is expected to decide before (see supplement). There is also a statement by President Meyerson Friday whether to vote again on the $17 million appropriation bill explaining how the brief came into being and why he felt it was for the University. The Legislature is scheduled to recess Thursday important for the University to take this stand (page 2). evening until November 14.
  • Prism Participant Guide

    Prism Participant Guide

    Order of the ArrowArrow: Prism Participant Guide James C. Justice National Scout Camp JAMES C. JUSTICE NATIONAL SCOUT CAMP | OA Prism Participant Guide Welcome Letter Dear Arrowman, Congratulations on your selection as a participant for the 2016 Prism experience! We are excited to share life-changing experiences with you at the Summit Bechtel Reserve this summer. You will have access to all of the adventures the Scott Summit Center provides; these include rock climbing, zip-lining, boating, biking and so much more! During your stay you will also give back to the SBR through a service project along with fellow Arrowmen from around the country. The service project that you assist with will leave a mark on the SBR and Scouting for generations to come. Be proud of this! The defining experience of Prism will be the inaugural rededication ceremony at the newly constructed Summit Circle. The ceremony will provide you with a glimpse of what the future holds for the OA and how you can impact the direction it takes. As you ponder your role, you will be surrounded by remnants of Treasure Island Scout Reservation’s original ceremony circle where Dr. Goodman once stood, as well as a commemoration of our legacy lodge rocks, granting you a chance to reflect on our past. As a Prism participant, you will be one of the first Arrowmen to experience the new national ceremonial grounds and serve as a guide into a new century of brotherhood, cheerfulness and service. As we all prepare for this summer, it is important that you stay on top of important action items, including your medical form, travel arrangements and other time sensitive requirements.
  • 2018 Venturingfest Exhibitor Packet

    2018 Venturingfest Exhibitor Packet

    2018 VenturingFest Exhibitor Packet About the Organization and Event 1 About the Venue 1 Exhibitor Agreement 2 Exhibitor Schedule 3 Lodging and Meals 4 Shipping Information 4 Selling Merchandise 5 Exhibit/Booth Rules 5 Exhibit Staff Mandatory Requirements 6 Check-out Procedures 7 Contacts 7 Appendix 7 Rev.5/7/18 ABOUT THE ORGANIZATION AND EVENT The Venturing program enables young adults to: ● Experience a program that is fun and full of challenge and adventure. ● Acquire skills in the area of their crew’s specialty. ● Become a skilled training and program resource for other youth groups. ● Experience positive leadership from adult and youth leaders and be given opportunities to take on leadership roles. ● Learn to make ethical choices throughout their lives by instilling the values of the Scout Oath and Scout Law. ● Have a chance to learn and grow in a supportive, caring, and fun environment. About the Event | VenturingFest VenturingFest 2018 is a special Scouting event at Summit Bechtel Reserve that’s open to registered Venturers, Scouts, and adult leaders from across the U.S., and has also included invitations to 22 countries with Scouting programs. This six-day high-adventure festival invites participants to explore the best the Summit has to offer. We’re talking rock climbing, skateboarding, BMX biking, water sports, shooting sports, zip lines, challenge courses, and so much more! The Venturing program is for coed youth (boys and girls) ages 14 to 20. As if the adrenaline-pumping activities weren’t enough, participants will also get to jam out to concerts and meet new friends in Venturing at the event.
  • NOTICES Was Sent to Press, the Meeting Dates Which Fall Rather Far in the Future Are Subject Tr Change

    NOTICES Was Sent to Press, the Meeting Dates Which Fall Rather Far in the Future Are Subject Tr Change

    AMERICAN MATHEMATICAL SOCIETY Nottces Edited by GORDON L. WALKER Contents MEETINGS Calendar of Meetings • • • . • • • • • • • • . • • • • • . • • • • • • 4 Program of the February Meeting in Tucson • • • . • . • . • . 5 Abstracts for the Meeting, pp. 80-84 Program of the February Meeting in New York ••••••••• 10 Abstracts for the Meeting, pp. 85-94 PRELIMINARY ANNOUNCEMENTS OF MEETINGS ••••••.••• 15 ACTIVITIES OF OTHER ASSOCIATIONS ••••••••••••••••• 19 NEWS ITEMS AND ANNOUNCEMENTS •••••••••••••••••• 27 FOREIGN SCIENCE INFORMATION •••••••••.•••••••••• 38 PERSONAL ITEMS •••••••.•••••••••.••••••••••••• 47 NEW PUBLICATIONS ••••••••••••••••••••••••••••. 50 CATALOGUE OF LECTURE NOTES - Supplement No.1 . • • • • • 57 ABSTRACTS OF CONTRIBUTED PAPERS • • • • • • . • • • • • • • • 59 RESERVATION FORM . • . • • • • • • • • • • . • • • • • . • . • • • • • • 99 3 MEETINGS CALENDAR OF MEETINGS NOTE: This Calendar lists all of the meetings which have been approved by the Council up to the date at which this issue of the NOTICES was sent to press, The meeting dates which fall rather far in the future are subject tr change. This is particularly true of the meetings to which no numbers have yet been assigned, Meet­ Deadline ing Date Place for No, Abstracts* 567 April 14-16, 1960 New York, New York Mar. 1 568 April 22-23, 1960 Chicago, Illinois Mar, 1 569 April 22-23, 1960 Berkeley, California Mar, 570 June 18, 1960 Missoula, Montana May 5 571 August 29-September 3, 1960 East Lansing, Michigan July 15 (65th Summer Meeting) 572 October 22, 1960 Worcester, Massachusetts Sept. 8 January 24-27, 1961 Washington, D. C. (67th Annual Meeting) August, 1961 Stillwater, Oklahoma (66th Summer Meeting) January, 1962 Kansas City, Missouri (68th Annual Meeting) August, 1962 Vancouver, British Columbia (67th Summer Meeting) August, 1963 Boulder, Colorado (68th Summer Meeting) *The abstracts of papers to be presented at the meetings must be received i.
  • Mathematicians at Stockholm, the Council of the Society Will Meet Sweden

    Mathematicians at Stockholm, the Council of the Society Will Meet Sweden

    AMERICAN MATHEMATICAL SOCIETY VOLUME 9, NUMBER 4 ISSUE NO. 62 AUGUST 1962 THE AMERICAN MATHEMATICAL SOCIETY Edited by John W. Green and Gordon L. Walker CONTENTS MEETINGS Calendar of Meetings .•.......•.•.•...•.....•......••••.•. 248 Program of the Summer Meeting in Vancouver, B. C .•.............. 249 Abstracts of the Meeting - pages 284-313 PRELIMINARY ANNOUNCEMENT OF MEETING •..•.••...........•..•. 263 ACTIVITIES OF OTHER ASSOCIATIONS .••.••••..•.....•.........••• 265 NEWS ITEMS AND ANNOUNCEMENTS .••.•.....••.....•.•. 262, 267,276 PERSONAL ITEMS .•..•.••.....•.•.•.•.....................•. 268 NEW AMS PUBLICATIONS •.....•..••••.....•••....•.....•.•...• 273 LETTERS TO THE EDITOR ....•....•....•.......•..••.......•.. 274 MEMORANDA TO MEMBERS The National Register of Scientific and Technical Personnel . • • . • . • . 2 77 The Employment Register ....••.••.•.•...•.•.•.•.•..••....• 277 The Combined Membership List, 1962-1963 •...•.....•.....•...•. 277 Corporate Members •.••...............•.•....•.....•••..• 278 The Australian Mathematical Society . 278 Backlog of Mathematical Research Journals • . • . • . • . 279 SUPPLEMENTARY PROGRAM - NO. 12 . • . 280 ABSTRACTS OF CONTRIBUTED PAPERS ...•.............••.....•.• 284 INDEX TO ADVERTISERS ...•...•..•..•.....•.....•............ 355 RESERVATION FORM . • • . • . • . • . • . • . • . 3 55 MEETINGS CALENDAR OF MEETINGS NOTE: This Calendar lists all of the meetings which have been approved by the Council up to the date at which this issue of the NOTICES was sent to press. The summer and annual meetings
  • Board Acts on 2 Projects Receives a Large Amount of Accessory Instruction Fees from the State

    Board Acts on 2 Projects Receives a Large Amount of Accessory Instruction Fees from the State

    Deficit Reduced Again Page 2 CORNELL Gifts From Olin, Uris Page 2 CHRONICLE Summary Journal Page 5 Ithaca Video Project Page 6 Vol. 5 No. 9 Thursday, October 25, 1973 Corson on Universities Page 8 Senate Recommends Leafing Thru the Hour Optional Phys. Ed. The University Senate Tuesday night recommended to the University faculty abolition of the present two- year compulsory physical education requicement. The bill also recommended to the faculty that academic credit towards completion of "the Cornell degree be granted for designated physical education courses." The vote, climaxing an hour and a half debate, passed by a narrow margin in a roll-call vote of 44 to 42 with 5 abstentions. In separate action, senators voted 47 to 5 for a sense of the body resolution calling upon the "-House of Representatives to begin impeachment proceedings against Richard M Nixon." The resolution was received by the Senate Executive Committee Tuesday morning signed by some 30 senators and University trustees. (Full text of the resolution appears at the end of this story.) Debate over the proposed abolition of Cornell's compulsory physical education requirement, satisfactory completion of which is prerequisite to graduation, centered on three major related issues: 1) the compulsory nature of the requirement 2) the financial effects of abolishing the requirement and 3) whether academic credit should be granted for physical education classes. Prior to the meeting, senators had received for credit in endowed departments. The Treadwell reports on these topics from the Senate Committee on Academics, which reported out the bill, and report estimated the annual revenue loss to the from its Subcommittee on Educational Innovation; University caused by abolition of the requirement from faculty minutes on the nature of the would amount to nearly $200,000 The Committe requirement; from Robert J Kane, dean of on Academics, however, argued this figure would athletics, and from Anthony C.
  • 2020 West Virginia State Rail Plan

    2020 West Virginia State Rail Plan

    West Virginia State Rail Plan DECEMBER 2020 The West Virginia State Rail Authority appreciates the effort, energy, and engagement of our partners who helped make the 2020 West Virginia State Rail Plan possible. As committed members of the Steering Committee, the following individuals provided critical guidance, advice, information and vision throughout the plan development. Key rail champions and community members, committed to advancing rail in the state, provided enthusiasm and feedback from community and users perspectives. 2020 State Rail Plan Steering Committee Cindy Butler Executive Director, West Virginia State Rail Authority Byrd White Secretary of Transportation, West Virginia Department of Transportation Jimmy Wriston Deputy Commissioner, Division of Highways, West Virginia Department of Transportation Ira Baldwin Deputy Director, Transportation Division West Virginia Public Service Commission David Cramer Director, Commissioner’s Office of Economic Development, West Virginia Department of Transportation Jordan Damron Communications, Governor’s Office Randy Damron Information Core, West Virginia Division of Highways Jessie Fernandez-Gatti Community Planner, Federal Railroad Administration Alanna Keller Engineering Advisor, West Virginia Department of Transportation Chris Kinsey Statewide Planning Section Head, Planning Division, West Virginia Division of Highways Ryland Musick Deputy State Highway Engineer, West Virginia Division of Highways Elwood Penn Division Director, Planning Division, West Virginia Department of Highways John Perry Manager, Railroad Safety Section, West Virginia Public Service Commission Nathan Takitch Project Manager, West Virginia Department of Commerce Ann Urling Deputy Chief of Staff, Governor’s Office 2020 State Rail Plan Advisory Committee Sean D. Hill Director, West Virginia Aeronautics Commission William “Bill” Robinson Executive Director, Division of Public Transit, West Virginia Department of Transportation Robert C.
  • From Schouten to Mackenzie: Notes on Brackets

    From Schouten to Mackenzie: Notes on Brackets

    From Schouten to Mackenzie: notes on brackets∗ Yvette Kosmann-Schwarzbach In Memory of Kirill Mackenzie (1951–2020) Abstract In this paper, dedicated to the memory of Kirill Mackenzie, I relate the origins and early development of the theory of graded Lie brackets, first in the pu- blications on differential geometry of Schouten, Nijenhuis, and Fr¨olicher–Nijenhuis, then in the work of Gerstenhaber and Nijenhuis–Richardson in cohomology theory. Keywords: graded Lie algebra, Schouten bracket, Nijenhuis torsion, Fr¨olicher– Nijenhuis bracket, Nijenhuis–Richardson bracket, Gerstenhaber algebra, Macken- zie theory. Introduction Many aspects of the contributions of Kirill Mackenzie to the theory of Lie groupoids and Lie algebroids, in particular to that of the double and multiple structures, are already classical and often cited. As a tribute to his memory, arXiv:2105.14828v1 [math.HO] 31 May 2021 I shall survey the history of the emergence of some theories that were tools – among many others – in the development and description of his mathematics. In his General Theory of Lie Groupoids and Lie Algebroids, in 2005, Mackenzie inserted a section of “Notes” at the end of each chapter. Yet he ad- vised his readers that his notes were “not comprehensive historical surveys”. After the chapter “Cohomology and Schouten calculus for Lie algebroids”, he wrote: “The Schouten bracket of multivector fields on a manifold goes back to Schouten [1954] and Nijenhuis [1955]. The same alge- braic structures on the cohomology of associative algebras were introduced by Gerstenhaber [1963].” ∗To appear in the Journal of Geometric Mechanics, 2021. 1 I shall try to expand on these elements of a story, and survey some of the early developments in the theory of the various graded brackets that Mackenzie cited and used1.
  • 2015 Newsletter

    2015 Newsletter

    2015 NEWSLETTER DEPARTMENT OF MATHEMATICS This newsletter is published annually for alumni & friends of Mathematics at the University of Washington 1 as an associate professor. In addition to his outstanding research and teaching, Jayadev founded and ran the Illinois Geometry Lab, which brought faculty and graduate students together with undergraduates to As I approach the halfway point of my term as chair, I continue foster undergraduate research. In addition, it engaged to delight in the successes of our students and faculty. You community members across the state with activities will learn about these stories in the pages that follow. Let me from Urbana-Champaign to Chicago. Jayadev has preview some of them here. begun to establish a similar program—the Washington Experimental Mathematics Lab—here. I can’t wait to For the sixth year in a row and the twelfth year in the past see the results. fourteen, one of our math majors received the Dean’s Medal in the Natural Sciences. I imagined that our streak couldn’t Inevitably, in parallel with the arrival of the new continue, but that was before I received letters of support comes the departure of others. This year, we lost Albert for David Jekel from faculty in both Math and Classics, his Nijenhuis, a member of our faculty from 1956 to 1964 other major. I knew then that we had a winner, given that the before moving to the University of Pennsylvania, and Classics faculty were as in awe of David’s talents as our own. then an affiliate faculty member upon retirement, when He is now off to UCLA to continue his mathematical studies.
  • Differential Geometry, Volume

    Differential Geometry, Volume

    http://dx.doi.org/10.1090/pspum/003 DIFFERENTIAL GEOMETRY PROCEEDINGS OF THE THIRD SYMPOSIUM IN PURE MATHEMATICS OF THE AMERICAN MATHEMATICAL SOCIETY Held at the University of Arizona Tucson, Arizona February 18-19, 1960 With the Support of the NATIONAL SCIENCE FOUNDATION CARL B. ALLENDOERFER EDITOR PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS VOLUME III DIFFERENTIAL GEOMETRY AMERICAN MATHEMATICAL SOCIETY PROVIDENCE, RHODE ISLAND 1961 Library of Congress Catalog Card Number 50-1183 Prepared by the American Mathematical Society under Grant No. NSF-G10809 with the National Science Foundation Copyright © 1961 by the American Mathematical Society Printed in the United States of America All rights reserved except those granted to the United States Government. Otherwise, this book, or parts thereof, may not be reproduced in any form without permission of the publishers. CONTENTS PAGE INTRODUCTION vii A Report on the Unitary Group 1 By RAOUL BOTT Vector Bundles and Homogeneous Spaces 7 By M. F. ATIYAH and F. HIRZEBRUCH A Procedure for Killing Homotopy Groups of Differentiable Manifolds . 39 By JOHN MILNOR Some Remarks on Homological Analysis and Structures ........ 56 By D. C. SPENCER Vector Form Methods and Deformations of Complex Structures .... 87 By ALBERT NIJENHUIS Almost-Product Structures 94 By A. G. WALKER Homology of Principal Bundles 101 By ELD ON DYER and R. K. LASH OF Alexander-Pontrjagin Duality in Function Spaces 109 By JAMES EELLS, JR. The Cohomology of Lie Rings 130 By RICHARD S. PALAIS On the Theory of Solvmanifolds and Generalization with Applications to Differential Geometry 138 By Louis AUSLANDER Homogeneous Complex Contact Manifolds 144 By WILLIAM M.
  • We Must Eliminate All Nuclear Weapons in Order to Eliminate the Grave Risk They Pose to Our World

    We Must Eliminate All Nuclear Weapons in Order to Eliminate the Grave Risk They Pose to Our World

    We must eliminate all nuclear weapons in order to eliminate the grave risk they pose to our world. This will require persistent efforts by all countries and peoples. A nuclear war would affect everyone, and all have a stake in preventing this PLOUGHSHARES FUND nightmare. RISE UP. ANNUAL REPORT 2017 Our world is poised at a tipping point. THE PROGRESS AND PROMISE of new arms control agreements has faltered, while new political forces have rekindled old animosities between nuclear rivals. New weapons programs are gearing up across the nuclear weapons states, while the United States under President Donald J. Trump has seemingly turned its back on decades of bipartisan nonproliferation efforts. The threat of stumbling into terrible new wars with North Korea and Iran has never been more real, and the risk of any new conflict going nuclear hasn’t been this great since the height of the Cold War. Ploughshares Fund is more committed than ever to fighting for peace, justice and security in this uncertain world. We lead three major coalitions aimed at: preserving peace in the Middle East by maintaining the Iranian nuclear deal; easing tensions with North Korea through a diplomatic freeze of its nuclear program; and reducing the dangers posed by our own nuclear arsenal by stemming the flow of hundreds of billions of taxpayer dollars to new and destabilizing nuclear weapons. In so doing, we remain dedicated to reaching out to new communities, sharing new voices and finding new ways of building public support for a world without nuclear weapons. PLOUGHSHARES FUND ANNUAL REPORT 2017 PLOUGHSHARES.ORG 1 We must support the vibrant and diverse new mass movements rising up across this country.