DOCSLIB.ORG

2012-13 4 1 25.0% 1 25.0% 0 0.0% 1 25.0%

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
2012-13 4 1 25.0% 1 25.0% 0 0.0% 1 25.0% Annual Progress Report on the Mathematical Sciences Research Institute 2012–2013 Activities supported by NSF Grant DMS-0932078 May, 2014 Mathematical Sciences Research Institute Annual Report for 2012–2013 1. Overview of Activities ............................................................................................................... 1 1.1 New Developments ............................................................................................................. 1 1.2 Summary of Demographic Data for 2012–13 Activities .................................................... 7 1.3 Scientific Programs and their Associated Workshops ........................................................ 9 1.4 Scientific Activities Directed at Underrepresented Groups in Mathematics .................... 11 a. Modern Math Workshop (NSF Supplement Grant DMS-1126721) .................... 12 b. Blackwell-Tapia Conference (NSF Supplement Grant DMS-1126721) ............. 12 1.5 Summer Graduate Schools (Summer 2012)……………………………………….. ……12 1.6 Other Scientific Workshops .............................................................................................. 13 1.7 Education & Outreach Activities ...................................................................................... 13 a. Critical Issues in Mathematics Education 2013: Assessment of Mathematical Proficiencies in the Age of the Common Core (NSF Supplement Grant DMS- 1118532) ................................................................................................................... 14 b. Circle on the Road Spring 2013 (NSF Supplement Grant DMS-1118532) ......... 14 1.8 Programs Consultant List .................................................................................................. 15 2. Program and Workshop Data................................................................................................ 15 2.1 Program Participant List ................................................................................................... 15 2.2 Program Participant Summary .......................................................................................... 15 2.3 Program Participant Demographic Data ........................................................................... 16 2.4 Workshop Participant List ................................................................................................ 18 2.5 Workshop Participant Summary ....................................................................................... 18 2.6 Workshop Participant Demographic Data ........................................................................ 19 2.7 Program Publication List .................................................................................................. 22 2.8 Program Publication Work-In-Progress List .................................................................... 22 3. Postdoctoral Program ............................................................................................................. 22 3.1 Description of Activities ................................................................................................... 22 3.2 Postdoctoral Fellow Placement List.................................................................................. 48 3.3 Postdoctoral Fellow Participant Summary........................................................................ 49 3.4 Postdoctoral Fellow Demographic Data ........................................................................... 50 3.5 Postdoctoral Research Member Placement List ............................................................... 52 3.6 Postdoctoral Research Member Summary ........................................................................ 52 4. Graduate Program .................................................................................................................. 52 4.1 Summer Graduate Schools (SGS) ..................................................................................... 52 4.2 Summer Graduate School Data ......................................................................................... 54 4.3 Program Associate ............................................................................................................ 57 4.4 Program Associate Data .................................................................................................... 58 4.5 Graduate Student List ....................................................................................................... 60 4.6 Graduate Student Data ...................................................................................................... 60 5. Undergraduate Program (MSRI-UP) (NSF Grant DMS-1156499) ..................................... 61 6. Brief Report of Activities in 2013–14 .................................................................................... 61 7. Appendix – Final Reports of Activities in 2012–13 .............................................................. 80 Program Reports No. 267: Commutative Algebra (COMMA) No. 270: Cluster Algebra (CA) No. 271: Noncommutative Algebraic Geometry and Representative Theory (NAGRT) No. 285: Complementary Program 2012–13 Workshop Reports No. 594: Joint Connections for Women: COMMA & CA No. 595: Joint Introductory Workshop: COMMA & CA No. 609: Cluster Algebras in Combinatorics Algebra and Geometry No. 610: Combinatorial Commutative Algebra and Applications No. 638: Representation Theory Homological Algebra Free Resolutions No. 639: Commutative Algebra of Singularities No. 641: Connection for Women: NAGRT No. 642: Introductory Workshop: NAGRT No. 643: Interaction between NAGRT No. 696: Critical Issues in Mathematics Education 2013: Assessment of Mathematical Proficiencies in the Age of the Common Core No. 721: Circle on the Road Spring 2013 No. 723: Hot Topics: Surface Subgroups and Cube Complexes Summer Graduate School Reports No. 634: Model Theory No. 648: Noncommutative Algebraic Geometry No. 649: Seminaire de Mathematiques Superieures 2012: Probabilistic Combinatorics No. 650: IAS-PCMI Summer School on Geometric Group Theory No. 657: Mathematical General Relativity 1. Overview of Activities This annual report covers MSRI projects and activities that occurred during the third year, 2012– 13, of the NSF core grant DMS #0932078. 1.1 New Developments The year 2012–13, was a busy and exciting year. We held one yearlong program together with two (2) one-semester programs: Commutative Algebra, Cluster Algebras, and Noncommutative Algebraic Geometry and Representation Theory. These three programs were very popular, and their workshops well attended. All programs had stellar researchers. Four (4) of them, Karen Smith, Claudio Procesi, Corrado De Concini, and Toby Stafford were funded by the Clay Mathematics Institute ($33,000). Karen Smith is a Keeler Professor in the department of mathematics at the University of Michigan. Among the many awards she received are the AMS Satter prize in recognition of her work in Commutative Algebra, a Fullbright Fellowship, and an Alfred P. Sloan Research Fellowship. Claudio Procesi, an internationally renowned researcher is a Professor Ordinario at La Sapienza (University di Roma). In the early 1980s he received the Medal of the Accademia dei Mathematics Lincei, of which he is now a member; he also received the Feltrinelli Prize in mathematics. De Concini, an equally renowned professor Ordinario at La Sapienza, is a member of the two Italian Academy of Sciences, Accademia Nazionale dei Lincei (since 2009) and Socio dell'Accademia Italiana delle Scienze detta dei XL (2010). Toby Stafford is a professor of mathematics at Manchester University. From 2007-2012 he held the prestigious Royal Society-Wolfson Research Merit Award, and in 2013, he became a Fellow of the American Mathematical Society. Another ten (10) researchers, Luchezar Avramov, Bill Crawley-Boevey, Alicia Dickenstein, Craig Huneke, Bernhard Keller, Idun Reiten, Frank-Olaf Schreyer, Michel Van den Bergh, Jerzy Weyman, and Andrei Zelevinsky, were funded by MSRI’s Eisenbud Endowment and by a grant from the Simons Foundation. The synergy between the long program and the two partner programs was particularly fruitful. The academic year started with two joint workshops: Connections for Women and Introductory Workshop: Cluster Algebras and Commutative Algebra. All three programs had striking results to report. (See the program reports in the Appendix for more details.) Here are three such results, one from each program. In Fall 2012, K. Lee, L. Li, and A. Zelevinsky settled, in the negative, an old question posed by V. Fock and A. Goncharov: Do the extremal rays of the positive cone of a cluster algebra A (i.e., the cone of elements represented as positive Laurent polynomials in terms of any cluster) yield a basis in A? The authors show that in rank 2, the answer is no whenever A is not tame. This work was one of A. Zelevinsky's last research projects completed before his untimely death in April 2013. The results were posted on the [arXiv:1303.5806]. Among the many results obtained during the yearlong Commutative Algebra program the striking result of Herzog and Huneke on Golod rings (which are of interest as every module over a Golod ring has rational Poincar´e series) stands out. Here is how Huneke described the work and results: “I was very pleased about several things I was able to do with colleagues during the 1 year, but one stands out in the sense that without the MSRI program, there was probably
Load more

Recommended publications
  • Questions About Boij-S\" Oderberg Theory
    QUESTIONS ABOUT BOIJ–SODERBERG¨ THEORY DANIEL ERMAN AND STEVEN V SAM 1. Background on Boij–Soderberg¨ Theory Boij–S¨oderberg theory focuses on the properties and duality relationship between two types of numerical invariants. One side involves the Betti table of a graded free resolution over the polynomial ring. The other side involves the cohomology table of a coherent sheaf on projective space. The theory began with a conjectural description of the cone of Betti tables of finite length modules, given in [10]. Those conjectures were proven in [25], which also described the cone of cohomology tables of vector bundles and illustrated a sort of duality between Betti tables and cohomology tables. The theory itself has since expanded in many directions: allowing modules whose support has higher dimension, replacing vector bundles by coherent sheaves, working over rings other than the polynomial ring, and so on. But at its core, Boij–S¨oderberg theory involves: (1) A classification, up to scalar multiple, of the possible Betti tables of some class of objects (for example, free resolutions of finitely generated modules of dimension ≤ c). (2) A classification, up to scalar multiple, of the cohomology tables of some class of objects (for examples, coherent sheaves of dimension ≤ n − c). (3) Intersection theory-style duality results between Betti tables and cohomology tables. One motivation behind Boij and S¨oderberg’s conjectures was the observation that it would yield an immediate proof of the Cohen–Macaulay version of the Multiplicity Conjectures of Herzog–Huneke–Srinivasan [44]. Eisenbud and Schreyer’s [25] thus yielded an immediate proof of that conjecture, and the subsequent papers [11, 26] provided a proof of the Mul- tiplicity Conjecture for non-Cohen–Macaulay modules.
    [Show full text]
  • The William Lowell Putnam Mathematical Competition 1985–2000 Problems, Solutions, and Commentary
    The William Lowell Putnam Mathematical Competition 1985–2000 Problems, Solutions, and Commentary i Reproduction. The work may be reproduced by any means for educational and scientific purposes without fee or permission with the exception of reproduction by services that collect fees for delivery of documents. In any reproduction, the original publication by the Publisher must be credited in the following manner: “First published in The William Lowell Putnam Mathematical Competition 1985–2000: Problems, Solutions, and Commen- tary, c 2002 by the Mathematical Association of America,” and the copyright notice in proper form must be placed on all copies. Ravi Vakil’s photo on p. 337 is courtesy of Gabrielle Vogel. c 2002 by The Mathematical Association of America (Incorporated) Library of Congress Catalog Card Number 2002107972 ISBN 0-88385-807-X Printed in the United States of America Current Printing (last digit): 10987654321 ii The William Lowell Putnam Mathematical Competition 1985–2000 Problems, Solutions, and Commentary Kiran S. Kedlaya University of California, Berkeley Bjorn Poonen University of California, Berkeley Ravi Vakil Stanford University Published and distributed by The Mathematical Association of America iii MAA PROBLEM BOOKS SERIES Problem Books is a series of the Mathematical Association of America consisting of collections of problems and solutions from annual mathematical competitions; compilations of problems (including unsolved problems) specific to particular branches of mathematics; books on the art and practice of problem solving, etc. Committee on Publications Gerald Alexanderson, Chair Roger Nelsen Editor Irl Bivens Clayton Dodge Richard Gibbs George Gilbert Art Grainger Gerald Heuer Elgin Johnston Kiran Kedlaya Loren Larson Margaret Robinson The Inquisitive Problem Solver, Paul Vaderlind, Richard K.
    [Show full text]
  • Bibliography
    Bibliography [1] Emil Artin. Galois Theory. Dover, second edition, 1964. [2] Michael Artin. Algebra. Prentice Hall, first edition, 1991. [3] M. F. Atiyah and I. G. Macdonald. Introduction to Commutative Algebra. Addison Wesley, third edition, 1969. [4] Nicolas Bourbaki. Alg`ebre, Chapitres 1-3.El´ements de Math´ematiques. Hermann, 1970. [5] Nicolas Bourbaki. Alg`ebre, Chapitre 10.El´ements de Math´ematiques. Masson, 1980. [6] Nicolas Bourbaki. Alg`ebre, Chapitres 4-7.El´ements de Math´ematiques. Masson, 1981. [7] Nicolas Bourbaki. Alg`ebre Commutative, Chapitres 8-9.El´ements de Math´ematiques. Masson, 1983. [8] Nicolas Bourbaki. Elements of Mathematics. Commutative Algebra, Chapters 1-7. Springer–Verlag, 1989. [9] Henri Cartan and Samuel Eilenberg. Homological Algebra. Princeton Math. Series, No. 19. Princeton University Press, 1956. [10] Jean Dieudonn´e. Panorama des mat´ematiques pures. Le choix bourbachique. Gauthiers-Villars, second edition, 1979. [11] David S. Dummit and Richard M. Foote. Abstract Algebra. Wiley, second edition, 1999. [12] Albert Einstein. Zur Elektrodynamik bewegter K¨orper. Annalen der Physik, 17:891–921, 1905. [13] David Eisenbud. Commutative Algebra With A View Toward Algebraic Geometry. GTM No. 150. Springer–Verlag, first edition, 1995. [14] Jean-Pierre Escofier. Galois Theory. GTM No. 204. Springer Verlag, first edition, 2001. [15] Peter Freyd. Abelian Categories. An Introduction to the theory of functors. Harper and Row, first edition, 1964. [16] Sergei I. Gelfand and Yuri I. Manin. Homological Algebra. Springer, first edition, 1999. [17] Sergei I. Gelfand and Yuri I. Manin. Methods of Homological Algebra. Springer, second edition, 2003. [18] Roger Godement. Topologie Alg´ebrique et Th´eorie des Faisceaux.
    [Show full text]
  • Report for the Academic Year 1995
    Institute /or ADVANCED STUDY REPORT FOR THE ACADEMIC YEAR 1994 - 95 PRINCETON NEW JERSEY Institute /or ADVANCED STUDY REPORT FOR THE ACADEMIC YEAR 1 994 - 95 OLDEN LANE PRINCETON • NEW JERSEY 08540-0631 609-734-8000 609-924-8399 (Fax) Extract from the letter addressed by the Founders to the Institute's Trustees, dated June 6, 1930. Newark, New jersey. It is fundamental in our purpose, and our express desire, that in the appointments to the staff and faculty, as well as in the admission of workers and students, no account shall be taken, directly or indirectly, of race, religion, or sex. We feel strongly that the spirit characteristic of America at its noblest, above all the pursuit of higher learning, cannot admit of any conditions as to personnel other than those designed to promote the objects for which this institution is established, and particularly with no regard whatever to accidents of race, creed, or sex. TABLE OF CONTENTS 4 BACKGROUND AND PURPOSE 5 • FOUNDERS, TRUSTEES AND OFFICERS OF THE BOARD AND OF THE CORPORATION 8 • ADMINISTRATION 11 REPORT OF THE CHAIRMAN 15 REPORT OF THE DIRECTOR 23 • ACKNOWLEDGMENTS 27 • REPORT OF THE SCHOOL OF HISTORICAL STUDIES ACADEMIC ACTIVITIES MEMBERS, VISITORS AND RESEARCH STAFF 36 • REPORT OF THE SCHOOL OF MATHEMATICS ACADEMIC ACTIVITIES MEMBERS AND VISITORS 42 • REPORT OF THE SCHOOL OF NATURAL SCIENCES ACADEMIC ACTIVITIES MEMBERS AND VISITORS 50 • REPORT OF THE SCHOOL OF SOCIAL SCIENCE ACADEMIC ACTIVITIES MEMBERS, VISITORS AND RESEARCH STAFF 55 • REPORT OF THE INSTITUTE LIBRARIES 57 • RECORD OF INSTITUTE EVENTS IN THE ACADEMIC YEAR 1994-95 85 • INDEPENDENT AUDITORS' REPORT INSTITUTE FOR ADVANCED STUDY: BACKGROUND AND PURPOSE The Institute for Advanced Study is an independent, nonprofit institution devoted to the encouragement of learning and scholarship.
    [Show full text]
  • Jeffrey Hoffstein Jill Pipher Joseph H. Silverman
    Undergraduate Texts in Mathematics Je rey Ho stein Jill Pipher Joseph H. Silverman An Introduction to Mathematical Cryptography Second Edition Undergraduate Texts in Mathematics Undergraduate Texts in Mathematics Series Editors: Sheldon Axler San Francisco State University, San Francisco, CA, USA Kenneth Ribet University of California, Berkeley, CA, USA Advisory Board: Colin Adams, Williams College, Williamstown, MA, USA Alejandro Adem, University of British Columbia, Vancouver, BC, Canada Ruth Charney, Brandeis University, Waltham, MA, USA Irene M. Gamba, The University of Texas at Austin, Austin, TX, USA Roger E. Howe, Yale University, New Haven, CT, USA David Jerison, Massachusetts Institute of Technology, Cambridge, MA, USA Jeffrey C. Lagarias, University of Michigan, Ann Arbor, MI, USA Jill Pipher, Brown University, Providence, RI, USA Fadil Santosa, University of Minnesota, Minneapolis, MN, USA Amie Wilkinson, University of Chicago, Chicago, IL, USA Undergraduate Texts in Mathematics are generally aimed at third- and fourth- year undergraduate mathematics students at North American universities. These texts strive to provide students and teachers with new perspectives and novel approaches. The books include motivation that guides the reader to an appreciation of interre- lations among different aspects of the subject. They feature examples that illustrate key concepts as well as exercises that strengthen understanding. More information about this series at http://www.springer.com/series/666 Jeffrey Hoffstein • Jill Pipher Joseph
    [Show full text]
  • TWAS Fellowships Worldwide
    CDC Round Table, ICTP April 2016 With science and engineering, countries can address challenges in agriculture, climate, health TWAS’s and energy. guiding principles 2 Food security Challenges Water quality for a Energy security new era Biodiversity loss Infectious diseases Climate change 3 A Globally, 81 nations fall troubling into the category of S&T- gap lagging countries. 48 are classified as Least Developed Countries. 4 The role of TWAS The day-to-day work of TWAS is focused in two critical areas: •Improving research infrastructure •Building a corps of PhD scholars 5 TWAS Research Grants 2,202 grants awarded to individuals and research groups (1986-2015) 6 TWAS’ AIM: to train 1000 PhD students by 2017 Training PhD-level scientists: •Researchers and university-level educators •Future leaders for science policy, business and international cooperation Rapidly growing opportunities P BRAZIL A K I N D I CA I RI A S AF TH T SOU A N M KENYA EX ICO C H I MALAYSIA N A IRAN THAILAND TWAS Fellowships Worldwide NRF, South Africa - newly on board 650+ fellowships per year PhD fellowships +460 Postdoctoral fellowships +150 Visiting researchers/professors + 45 17 Programme Partners BRAZIL: CNPq - National Council MALAYSIA: UPM – Universiti for Scientific and Technological Putra Malaysia WorldwideDevelopment CHINA: CAS - Chinese Academy of KENYA: icipe – International Sciences Centre for Insect Physiology and Ecology INDIA: CSIR - Council of Scientific MEXICO: CONACYT– National & Industrial Research Council on Science and Technology PAKISTAN: CEMB – National INDIA: DBT - Department of Centre of Excellence in Molecular Biotechnology Biology PAKISTAN: ICCBS – International Centre for Chemical and INDIA: IACS - Indian Association Biological Sciences for the Cultivation of Science PAKISTAN: CIIT – COMSATS Institute of Information INDIA: S.N.
    [Show full text]
  • Pila, O-Minimality and Diophantine Geometry
    O-minimality and Diophantine geometry Jonathan Pila Abstract. This lecture is concerned with some recent applications of mathematical logic to Diophantine geometry. More precisely it concerns applications of o-minimality, a branch of model theory which treats tame structures in real geometry, to certain finiteness problems descending from the classical conjecture of Mordell. Mathematics Subject Classification (2010). Primary 03C64, 11G18. Keywords. O-minimal structure, Andr´e-Oortconjecture, Zilber-Pink conjecture. 1. Introduction This is a somewhat expanded version of my lecture at ICM 2014 in Seoul. It surveys some recent interactions between model theory and Diophantine geometry. The Diophantine problems to be considered are of a type descending from the classical Mordell conjecture (theorem of Faltings). I will describe the passage from Mordell's conjecture to the far-reaching Zilber-Pink conjecture, which is very much open and the subject of lively study by a variety of methods on several fronts. The model theory is \o-minimality", which studies tame structures in real geometry, and offers powerful tools applicable to certain “definable” sets. In combination with an elementary analytic method for \counting rational points" it leads to a general result about the height distribution of rational points on definable sets. This result can be successfully applied to Zilber-Pink problems in the presence of certain functional transcendence and arithmetic ingredients which are known in many cases but seemingly quite difficult in general. Both the methods and problems have connections with transcendental number theory. My further objective is to explain these connections and to bring out the pervasive presence of Schanuel's conjecture.
    [Show full text]
  • I. Overview of Activities, April, 2005-March, 2006 …
    MATHEMATICAL SCIENCES RESEARCH INSTITUTE ANNUAL REPORT FOR 2005-2006 I. Overview of Activities, April, 2005-March, 2006 …......……………………. 2 Innovations ………………………………………………………..... 2 Scientific Highlights …..…………………………………………… 4 MSRI Experiences ….……………………………………………… 6 II. Programs …………………………………………………………………….. 13 III. Workshops ……………………………………………………………………. 17 IV. Postdoctoral Fellows …………………………………………………………. 19 Papers by Postdoctoral Fellows …………………………………… 21 V. Mathematics Education and Awareness …...………………………………. 23 VI. Industrial Participation ...…………………………………………………… 26 VII. Future Programs …………………………………………………………….. 28 VIII. Collaborations ………………………………………………………………… 30 IX. Papers Reported by Members ………………………………………………. 35 X. Appendix - Final Reports ……………………………………………………. 45 Programs Workshops Summer Graduate Workshops MSRI Network Conferences MATHEMATICAL SCIENCES RESEARCH INSTITUTE ANNUAL REPORT FOR 2005-2006 I. Overview of Activities, April, 2005-March, 2006 This annual report covers MSRI projects and activities that have been concluded since the submission of the last report in May, 2005. This includes the Spring, 2005 semester programs, the 2005 summer graduate workshops, the Fall, 2005 programs and the January and February workshops of Spring, 2006. This report does not contain fiscal or demographic data. Those data will be submitted in the Fall, 2006 final report covering the completed fiscal 2006 year, based on audited financial reports. This report begins with a discussion of MSRI innovations undertaken this year, followed by highlights
    [Show full text]
  • President's Report
    Newsletter Volume 42, No. 5 • SePTemBeR–oCT oBeR 2012 PRESIDENT’S REPORT AWM Prize Winners. I am pleased to announce the winners of two of the three major prizes given by AWM at the Joint Mathematics Meetings (JMM). The Louise Hay Award is given to Amy Cohen, Rutgers University, in recognition of The purpose of the Association her “contributions to mathematics education through her writings, her talks, and for Women in Mathematics is her outstanding service to professional organizations.” The Gweneth Humphreys • to encourage women and girls to Award is given to James Morrow, University of Washington, in recognition of study and to have active careers in his “outstanding achievements in inspiring undergraduate women to discover and the mathematical sciences, and • to promote equal opportunity and pursue their passion for mathematics.” I quote from the citations written by the the equal treatment of women and selection committees and extend warm congratulations to the honorees. These girls in the mathematical sciences. awards will be presented at the Prize Session at JMM 2013 in San Diego. Congratulations to Raman Parimala, Emory University, who will present the AWM Noether Lecture at JMM 2013, entitled “A Hasse Principle for Quadratic Forms over Function Fields.” She is honored for her groundbreaking research in theory of quadratic forms, hermitian forms, linear algebraic groups, and Galois cohomology. The Noether Lecture is the oldest of the three named AWM Lectures. (The Falconer Lecture is presented at MathFest, and the Sonia Kovalevsky at the SIAM Annual Meeting.) The first Noether Lecture was given by F. Jessie MacWilliams in 1980 in recognition of her fundamental contributions to the theory of error correcting codes.
    [Show full text]
  • Mirror Symmetry for Honeycombs
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 373, Number 1, January 2020, Pages 71–107 https://doi.org/10.1090/tran/7909 Article electronically published on September 10, 2019 MIRROR SYMMETRY FOR HONEYCOMBS BENJAMIN GAMMAGE AND DAVID NADLER Abstract. We prove a homological mirror symmetry equivalence between the A-brane category of the pair of pants, computed as a wrapped microlocal sheaf category, and the B-brane category of its mirror LG model, understood as a category of matrix factorizations. The equivalence improves upon prior results in two ways: it intertwines evident affine Weyl group symmetries on both sides, and it exhibits the relation of wrapped microlocal sheaves along different types of Lagrangian skeleta for the same hypersurface. The equivalence proceeds through the construction of a combinatorial realization of the A-model via arboreal singularities. The constructions here represent the start of a program to generalize to higher dimensions many of the structures which have appeared in topological approaches to Fukaya categories of surfaces. Contents 1. Introduction 71 2. Combinatorial A-model 78 3. Mirror symmetry 95 4. Symplectic geometry 100 Acknowledgments 106 References 106 1. Introduction This paper fits into the framework of homological mirror symmetry, as introduced in [23] and expanded in [19, 20, 22]. The formulation of interest to us relates the A-model of a hypersurface X in a toric variety to the mirror Landau-Ginzburg B- model of a toric variety X∨ equipped with superpotential W ∨ ∈O(X∨). Following Mikhalkin [27], a distinguished “atomic” case is when the hypersurface is the pair of pants ∗ n ∼ ∗ 1 n Pn−1 = {z1 + ···+ zn +1=0}⊂(C ) = T (S ) n+1 with mirror Landau-Ginzburg model (A ,z1 ···zn+1).
    [Show full text]
  • Mathematical Association of America Ohio Section
    Program of Activities For the 90 th Annual Meeting of the Mathematical Association of America Ohio Section Spring 2006 The University of Akron Akron, Ohio March 31-April 1, 2006 MAA Ohio Section Program Friday, March 31, 2006 8:00—Noon NExT Workshop College of Arts and Sciences Building (CAS) Room 134 Noon—4:30 Registration Student Union, Second Floor, Theatre Area Book exhibits Student Union, Second Floor, Atrium Noon—1:20 Student problem-solving team competition CAS 107 12:15—1:15 Committee Meetings CONCUR Student Union, 308 CONSACT Student Union, 310 CONSTUM Student Union, 312 CONTEAL Student Union, 314 Program Committee Student Union, 316 1:30—1:45 Welcome and Announcements Student Union Theatre 1:45—2:45 Invited address: Student Union Theatre “Going Up and Down” Georgia Benkart, University of Wisconsin – Madison 2:45—3:10 Break & refreshments Lobby Area, Student Union 3:10—4:05 Retiring President’s address: Student Union Theatre “Some Thoughts on Rings and Things” Dwight Olson, John Carroll University 4:20—6:15 Contributed p aper sessions College of Arts and Sciences Bldg (CAS) 4:20—6:15 Special session on Applied Mathematics CAS 4:20—6:15 Executive Committee Meeting CAS 124 Conference Room 6:15—6:45 Social Time Martin University Center (Fir Street) 6:45—8:00 Banquet Martin University Center (Fir Street) 6:15—8:00 Student Pizza Party CAS Atrium and nearby rooms 8:00—8:45 After-dinner talk: Martin University Center (Fir Street) “Developing an undergraduate research program” Tom Price, The University of Akron 8:45 Business meeting
    [Show full text]
  • Mechanical Aspire
    Newsletter Volume 6, Issue 11, November 2016 Mechanical Aspire Achievements in Sports, Projects, Industry, Research and Education All About Nobel Prize- Part 35 The Breakthrough Prize Inspired by Nobel Prize, there have been many other prizes similar to that, both in amount and in purpose. One such prize is the Breakthrough Prize. The Breakthrough Prize is backed by Facebook chief executive Mark Zuckerberg and Google co-founder Sergey Brin, among others. The Breakthrough Prize was founded by Brin and Anne Wojcicki, who runs genetic testing firm 23andMe, Chinese businessman Jack Ma, and Russian entrepreneur Yuri Milner and his wife Julia. The Breakthrough Prizes honor important, primarily recent, achievements in the categories of Fundamental Physics, Life Sciences and Mathematics . The prizes were founded in 2012 by Sergey Brin and Anne Wojcicki, Mark Zuckerberg and Priscilla Chan, Yuri and Julia Milner, and Jack Ma and Cathy Zhang. Committees of previous laureates choose the winners from candidates nominated in a process that’s online and open to the public. Laureates receive $3 million each in prize money. They attend a televised award ceremony designed to celebrate their achievements and inspire the next generation of scientists. As part of the ceremony schedule, they also engage in a program of lectures and discussions. Those that go on to make fresh discoveries remain eligible for future Breakthrough Prizes. The Trophy The Breakthrough Prize trophy was created by Olafur Eliasson. “The whole idea for me started out with, ‘Where do these great ideas come from? What type of intuition started the trajectory that eventually becomes what we celebrate today?’” Like much of Eliasson's work, the sculpture explores the common ground between art and science.
    [Show full text]