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A Prologue to “Functoriality and Reciprocity”, Part I
A Prologue to “Functoriality and Reciprocity”, Part I ÊÓb eÖØ ÄaÒgÐaÒd× In memoriam — Jonathan Rogawski Contents of Part I 1. Introduction. 2. The local theory over the real field. 3. The local theory over nonarchimedean fields. 4. The global theory for algebraic number fields. 5. Classical algebraic number theory. 6. Reciprocity. 7. The geometric theory for the group GL(1). 8.a. The geometric theory for a general group (provisional). Contents of Part II 8.b. The geometric theory for a general group (continued). 9. Gauge theory and the geometric theory. 10. The p-adic theory. 11. The problematics of motives. 1. Introduction. The first of my students who struggled seriously with the problems raised by the letter to Andr´eWeil of 1967 was Diana Shelstad in 1970/74, at Yale University and at the Institute for Advanced Study, who studied what we later called, at her suggestion and with the advice of Avner Ash, endoscopy, but for real groups. Although endoscopy for reductive groups over nonarchimedean fields was an issue from 1970 onwards, especially for SL(2), it took a decade to arrive at a clear and confident statement of one central issue, the fundamental lemma. This was given in my lectures at the Ecole´ normale sup´erieure des jeunes filles in Paris in the summer of 1980, although not in the form finally proved by Ngˆo, which is a statement that results from a sequence of reductions of the original statement. The theory of endoscopy is a theory for certain pairs (H, G) of reductive groups. A central H G H property of these pairs is a homomorphism φG : f f of the Hecke algebra for G(F ) to the Hecke algebra for H(F ), F a nonarchimedean local7→ field, and the fundamental lemma was an equality between certain orbital integrals for f G and stable orbital integrals for f H . -
Applied Category Theory for Genomics – an Initiative
Applied Category Theory for Genomics { An Initiative Yanying Wu1,2 1Centre for Neural Circuits and Behaviour, University of Oxford, UK 2Department of Physiology, Anatomy and Genetics, University of Oxford, UK 06 Sept, 2020 Abstract The ultimate secret of all lives on earth is hidden in their genomes { a totality of DNA sequences. We currently know the whole genome sequence of many organisms, while our understanding of the genome architecture on a systematic level remains rudimentary. Applied category theory opens a promising way to integrate the humongous amount of heterogeneous informations in genomics, to advance our knowledge regarding genome organization, and to provide us with a deep and holistic view of our own genomes. In this work we explain why applied category theory carries such a hope, and we move on to show how it could actually do so, albeit in baby steps. The manuscript intends to be readable to both mathematicians and biologists, therefore no prior knowledge is required from either side. arXiv:2009.02822v1 [q-bio.GN] 6 Sep 2020 1 Introduction DNA, the genetic material of all living beings on this planet, holds the secret of life. The complete set of DNA sequences in an organism constitutes its genome { the blueprint and instruction manual of that organism, be it a human or fly [1]. Therefore, genomics, which studies the contents and meaning of genomes, has been standing in the central stage of scientific research since its birth. The twentieth century witnessed three milestones of genomics research [1]. It began with the discovery of Mendel's laws of inheritance [2], sparked a climax in the middle with the reveal of DNA double helix structure [3], and ended with the accomplishment of a first draft of complete human genome sequences [4]. -
Bfm:978-1-4612-2582-9/1.Pdf
Progress in Mathematics Volume 131 Series Editors Hyman Bass Joseph Oesterle Alan Weinstein Functional Analysis on the Eve of the 21st Century Volume I In Honor of the Eightieth Birthday of I. M. Gelfand Simon Gindikin James Lepowsky Robert L. Wilson Editors Birkhauser Boston • Basel • Berlin Simon Gindikin James Lepowsky Department of Mathematics Department of Mathematics Rutgers University Rutgers University New Brunswick, NJ 08903 New Brunswick, NJ 08903 Robert L. Wilson Department of Mathematics Rutgers University New Brunswick, NJ 08903 Library of Congress Cataloging-in-Publication Data Functional analysis on the eve of the 21 st century in honor of the 80th birthday 0fI. M. Gelfand I [edited) by S. Gindikin, 1. Lepowsky, R. Wilson. p. cm. -- (Progress in mathematics ; vol. 131) Includes bibliographical references. ISBN-13:978-1-4612-7590-9 e-ISBN-13:978-1-4612-2582-9 DOl: 10.1007/978-1-4612-2582-9 1. Functional analysis. I. Gel'fand, I. M. (lzraU' Moiseevich) II. Gindikin, S. G. (Semen Grigor'evich) III. Lepowsky, J. (James) IV. Wilson, R. (Robert), 1946- . V. Series: Progress in mathematics (Boston, Mass.) ; vol. 131. QA321.F856 1995 95-20760 515'.7--dc20 CIP Printed on acid-free paper d»® Birkhiiuser ltGD © 1995 Birkhliuser Boston Softcover reprint of the hardcover 1st edition 1995 Copyright is not claimed for works of u.s. Government employees. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without prior permission of the copyright owner. -
Masthead (PDF)
Proceedings of the National Academy ofPNAS Sciences of the United States of America www.pnas.org PRESIDENT OF Robert G. Roeder Geophysics John J. Mekalanos THE ACADEMY Michael Rosbash Michael L. Bender Peter Palese Ralph J. Cicerone David D. Sabatini Thomas E. Shenk Gertrud M. Schupbach Human Environmental Thomas J. Silhavy SENIOR EDITOR Robert Tjian Sciences Peter K. Vogt Solomon H. Snyder Susan Hanson Cellular and Molecular Physics ASSOCIATE EDITORS Neuroscience Immunology Anthony Leggett William C. Clark Pietro V. De Camilli Peter Cresswell Paul C. Martin Alan Fersht Richard L. Huganir Douglas T. Fearon Jack Halpern L. L. Iversen Richard A. Flavell Physiology and Jeremy Nathans Charles F. Stevens Dan R. Littman Pharmacology Thomas C. Su¨dhof Tak Wah Mak Susan G. Amara Joseph S. Takahashi William E. Paul David Julius EDITORIAL BOARD Hans Thoenen Michael Sela Ramon Latorre Ralph M. Steinman Masashi Yanagisawa Animal, Nutritional, and Chemistry Applied Microbial Sciences Stephen J. Benkovic Mathematics Plant Biology David L. Denlinger Bruce J. Berne Richard V. Kadison Maarten J. Chrispeels R. Michael Roberts Harry B. Gray Robion C. Kirby Enrico Coen Robert Haselkorn Linda J. Saif Mark A. Ratner George H. Lorimer Ryuzo Yanagimachi Barry M. Trost Medical Genetics, Hematology, and Nicholas J. Turro Anthropology Oncology Plant, Soil, and Charles T. Esmon Microbial Sciences Jeremy A. Sabloff Computer and Joseph L. Goldstein Roger N. Beachy Information Sciences Mark T. Groudine Steven E. Lindow Applied Mathematical Sciences Shafrira Goldwasser David O. Siegmund Tony Hunter M. S. Swaminathan Philip W. Majerus Susan R. Wessler Economic Sciences Newton E. Morton Applied Physical Sciences Ronald W. -
Publications of Members, 1930-1954
THE INSTITUTE FOR ADVANCED STUDY PUBLICATIONS OF MEMBERS 1930 • 1954 PRINCETON, NEW JERSEY . 1955 COPYRIGHT 1955, BY THE INSTITUTE FOR ADVANCED STUDY MANUFACTURED IN THE UNITED STATES OF AMERICA BY PRINCETON UNIVERSITY PRESS, PRINCETON, N.J. CONTENTS FOREWORD 3 BIBLIOGRAPHY 9 DIRECTORY OF INSTITUTE MEMBERS, 1930-1954 205 MEMBERS WITH APPOINTMENTS OF LONG TERM 265 TRUSTEES 269 buH FOREWORD FOREWORD Publication of this bibliography marks the 25th Anniversary of the foundation of the Institute for Advanced Study. The certificate of incorporation of the Institute was signed on the 20th day of May, 1930. The first academic appointments, naming Albert Einstein and Oswald Veblen as Professors at the Institute, were approved two and one- half years later, in initiation of academic work. The Institute for Advanced Study is devoted to the encouragement, support and patronage of learning—of science, in the old, broad, undifferentiated sense of the word. The Institute partakes of the character both of a university and of a research institute j but it also differs in significant ways from both. It is unlike a university, for instance, in its small size—its academic membership at any one time numbers only a little over a hundred. It is unlike a university in that it has no formal curriculum, no scheduled courses of instruction, no commitment that all branches of learning be rep- resented in its faculty and members. It is unlike a research institute in that its purposes are broader, that it supports many separate fields of study, that, with one exception, it maintains no laboratories; and above all in that it welcomes temporary members, whose intellectual development and growth are one of its principal purposes. -
Mathematics and Materials
IAS/PARK CITY MATHEMATICS SERIES Volume 23 Mathematics and Materials Mark J. Bowick David Kinderlehrer Govind Menon Charles Radin Editors American Mathematical Society Institute for Advanced Study Society for Industrial and Applied Mathematics 10.1090/pcms/023 Mathematics and Materials IAS/PARK CITY MATHEMATICS SERIES Volume 23 Mathematics and Materials Mark J. Bowick David Kinderlehrer Govind Menon Charles Radin Editors American Mathematical Society Institute for Advanced Study Society for Industrial and Applied Mathematics Rafe Mazzeo, Series Editor Mark J. Bowick, David Kinderlehrer, Govind Menon, and Charles Radin, Volume Editors. IAS/Park City Mathematics Institute runs mathematics education programs that bring together high school mathematics teachers, researchers in mathematics and mathematics education, undergraduate mathematics faculty, graduate students, and undergraduates to participate in distinct but overlapping programs of research and education. This volume contains the lecture notes from the Graduate Summer School program 2010 Mathematics Subject Classification. Primary 82B05, 35Q70, 82B26, 74N05, 51P05, 52C17, 52C23. Library of Congress Cataloging-in-Publication Data Names: Bowick, Mark J., editor. | Kinderlehrer, David, editor. | Menon, Govind, 1973– editor. | Radin, Charles, 1945– editor. | Institute for Advanced Study (Princeton, N.J.) | Society for Industrial and Applied Mathematics. Title: Mathematics and materials / Mark J. Bowick, David Kinderlehrer, Govind Menon, Charles Radin, editors. Description: [Providence] : American Mathematical Society, [2017] | Series: IAS/Park City math- ematics series ; volume 23 | “Institute for Advanced Study.” | “Society for Industrial and Applied Mathematics.” | “This volume contains lectures presented at the Park City summer school on Mathematics and Materials in July 2014.” – Introduction. | Includes bibliographical references. Identifiers: LCCN 2016030010 | ISBN 9781470429195 (alk. paper) Subjects: LCSH: Statistical mechanics–Congresses. -
CURRICULUM VITAE George M. Weinstock, Ph.D
CURRICULUM VITAE George M. Weinstock, Ph.D. DATE September 26, 2014 BIRTHDATE February 6, 1949 CITIZENSHIP USA ADDRESS The Jackson Laboratory for Genomic Medicine 10 Discovery Drive Farmington, CT 06032 [email protected] phone: 860-837-2420 PRESENT POSITION Associate Director for Microbial Genomics Professor Jackson Laboratory for Genomic Medicine UNDERGRADUATE 1966-1967 Washington University EDUCATION 1967-1970 University of Michigan 1970 B.S. (with distinction) Biophysics, Univ. Mich. GRADUATE 1970-1977 PHS Predoctoral Trainee, Dept. Biology, EDUCATION Mass. Institute of Technology, Cambridge, MA 1977 Ph.D., Advisor: David Botstein Thesis title: Genetic and physical studies of bacteriophage P22 genomes containing translocatable drug resistance elements. POSTDOCTORAL 1977-1980 Postdoctoral Fellow, Department of Biochemistry TRAINING Stanford University Medical School, Stanford, CA. Advisor: Dr. I. Robert Lehman. ACADEMIC POSITIONS/EMPLOYMENT/EXPERIENCE 1980-1981 Staff Scientist, Molec. Gen. Section, NCI-Frederick Cancer Research Facility, Frederick, MD 1981-1983 Staff Scientist, Laboratory of Genetics and Recombinant DNA, NCI-Frederick Cancer Research Facility, Frederick, MD 1981-1984 Adjunct Associate Professor, Department of Biological Sciences, University of Maryland, Baltimore County, Catonsville, MD 1983-1984 Senior Scientist and Head, DNA Metabolism Section, Lab. Genetics and Recombinant DNA, NCI-Frederick Cancer Research Facility, Frederick, MD 1984-1990 Associate Professor with tenure (1985) Department of Biochemistry -
Alfred Tarski and a Watershed Meeting in Logic: Cornell, 1957 Solomon Feferman1
Alfred Tarski and a watershed meeting in logic: Cornell, 1957 Solomon Feferman1 For Jan Wolenski, on the occasion of his 60th birthday2 In the summer of 1957 at Cornell University the first of a cavalcade of large-scale meetings partially or completely devoted to logic took place--the five-week long Summer Institute for Symbolic Logic. That meeting turned out to be a watershed event in the development of logic: it was unique in bringing together for such an extended period researchers at every level in all parts of the subject, and the synergetic connections established there would thenceforth change the face of mathematical logic both qualitatively and quantitatively. Prior to the Cornell meeting there had been nothing remotely like it for logicians. Previously, with the growing importance in the twentieth century of their subject both in mathematics and philosophy, it had been natural for many of the broadly representative meetings of mathematicians and of philosophers to include lectures by logicians or even have special sections devoted to logic. Only with the establishment of the Association for Symbolic Logic in 1936 did logicians begin to meet regularly by themselves, but until the 1950s these occasions were usually relatively short in duration, never more than a day or two. Alfred Tarski was one of the principal organizers of the Cornell institute and of some of the major meetings to follow on its heels. Before the outbreak of World War II, outside of Poland Tarski had primarily been involved in several Unity of Science Congresses, including the first, in Paris in 1935, and the fifth, at Harvard in September, 1939. -
The Abel Prize 2003-2007 the First Five Years
springer.com Mathematics : History of Mathematics Holden, Helge, Piene, Ragni (Eds.) The Abel Prize 2003-2007 The First Five Years Presenting the winners of the Abel Prize, which is one of the premier international prizes in mathematics The book presents the winners of the first five Abel Prizes in mathematics: 2003 Jean-Pierre Serre; 2004 Sir Michael Atiyah and Isadore Singer; 2005 Peter D. Lax; 2006 Lennart Carleson; and 2007 S.R. Srinivasa Varadhan. Each laureate provides an autobiography or an interview, a curriculum vitae, and a complete bibliography. This is complemented by a scholarly description of their work written by leading experts in the field and by a brief history of the Abel Prize. Interviews with the laureates can be found at http://extras.springer.com . Order online at springer.com/booksellers Springer Nature Customer Service Center GmbH Springer Customer Service Tiergartenstrasse 15-17 2010, XI, 329 p. With DVD. 1st 69121 Heidelberg edition Germany T: +49 (0)6221 345-4301 [email protected] Printed book Hardcover Book with DVD Hardcover ISBN 978-3-642-01372-0 £ 76,50 | CHF 103,00 | 86,99 € | 95,69 € (A) | 93,08 € (D) Out of stock Discount group Science (SC) Product category Commemorative publication Series The Abel Prize Prices and other details are subject to change without notice. All errors and omissions excepted. Americas: Tax will be added where applicable. Canadian residents please add PST, QST or GST. Please add $5.00 for shipping one book and $ 1.00 for each additional book. Outside the US and Canada add $ 10.00 for first book, $5.00 for each additional book. -
A Century of Mathematics in America, Peter Duren Et Ai., (Eds.), Vol
Garrett Birkhoff has had a lifelong connection with Harvard mathematics. He was an infant when his father, the famous mathematician G. D. Birkhoff, joined the Harvard faculty. He has had a long academic career at Harvard: A.B. in 1932, Society of Fellows in 1933-1936, and a faculty appointmentfrom 1936 until his retirement in 1981. His research has ranged widely through alge bra, lattice theory, hydrodynamics, differential equations, scientific computing, and history of mathematics. Among his many publications are books on lattice theory and hydrodynamics, and the pioneering textbook A Survey of Modern Algebra, written jointly with S. Mac Lane. He has served as president ofSIAM and is a member of the National Academy of Sciences. Mathematics at Harvard, 1836-1944 GARRETT BIRKHOFF O. OUTLINE As my contribution to the history of mathematics in America, I decided to write a connected account of mathematical activity at Harvard from 1836 (Harvard's bicentennial) to the present day. During that time, many mathe maticians at Harvard have tried to respond constructively to the challenges and opportunities confronting them in a rapidly changing world. This essay reviews what might be called the indigenous period, lasting through World War II, during which most members of the Harvard mathe matical faculty had also studied there. Indeed, as will be explained in §§ 1-3 below, mathematical activity at Harvard was dominated by Benjamin Peirce and his students in the first half of this period. Then, from 1890 until around 1920, while our country was becoming a great power economically, basic mathematical research of high quality, mostly in traditional areas of analysis and theoretical celestial mechanics, was carried on by several faculty members. -
Professor Peter Goldreich Member of the Board of Adjudicators Chairman of the Selection Committee for the Prize in Astronomy
The Shaw Prize The Shaw Prize is an international award to honour individuals who are currently active in their respective fields and who have recently achieved distinguished and significant advances, who have made outstanding contributions in academic and scientific research or applications, or who in other domains have achieved excellence. The award is dedicated to furthering societal progress, enhancing quality of life, and enriching humanity’s spiritual civilization. Preference is to be given to individuals whose significant work was recently achieved and who are currently active in their respective fields. Founder's Biographical Note The Shaw Prize was established under the auspices of Mr Run Run Shaw. Mr Shaw, born in China in 1907, was a native of Ningbo County, Zhejiang Province. He joined his brother’s film company in China in the 1920s. During the 1950s he founded the film company Shaw Brothers (HK) Limited in Hong Kong. He was one of the founding members of Television Broadcasts Limited launched in Hong Kong in 1967. Mr Shaw also founded two charities, The Shaw Foundation Hong Kong and The Sir Run Run Shaw Charitable Trust, both dedicated to the promotion of education, scientific and technological research, medical and welfare services, and culture and the arts. ~ 1 ~ Message from the Chief Executive I warmly congratulate the six Shaw Laureates of 2014. Established in 2002 under the auspices of Mr Run Run Shaw, the Shaw Prize is a highly prestigious recognition of the role that scientists play in shaping the development of a modern world. Since the first award in 2004, 54 leading international scientists have been honoured for their ground-breaking discoveries which have expanded the frontiers of human knowledge and made significant contributions to humankind. -
UTM Naive Lie Theory (John Stillwell) 0387782141.Pdf
Undergraduate Texts in Mathematics Editors S. Axler K.A. Ribet Undergraduate Texts in Mathematics Abbott: Understanding Analysis. Daepp/Gorkin: Reading, Writing, and Proving: Anglin: Mathematics: A Concise History and A Closer Look at Mathematics. Philosophy. Devlin: The Joy of Sets: Fundamentals Readings in Mathematics. of-Contemporary Set Theory. Second edition. Anglin/Lambek: The Heritage of Thales. Dixmier: General Topology. Readings in Mathematics. Driver: Why Math? Apostol: Introduction to Analytic Number Theory. Ebbinghaus/Flum/Thomas: Mathematical Logic. Second edition. Second edition. Armstrong: Basic Topology. Edgar: Measure, Topology, and Fractal Geometry. Armstrong: Groups and Symmetry. Second edition. Axler: Linear Algebra Done Right. Second edition. Elaydi: An Introduction to Difference Equations. Beardon: Limits: A New Approach to Real Third edition. Analysis. Erdos/Sur˜ anyi:´ Topics in the Theory of Numbers. Bak/Newman: Complex Analysis. Second edition. Estep: Practical Analysis on One Variable. Banchoff/Wermer: Linear Algebra Through Exner: An Accompaniment to Higher Mathematics. Geometry. Second edition. Exner: Inside Calculus. Beck/Robins: Computing the Continuous Fine/Rosenberger: The Fundamental Theory Discretely of Algebra. Berberian: A First Course in Real Analysis. Fischer: Intermediate Real Analysis. Bix: Conics and Cubics: A Concrete Introduction to Flanigan/Kazdan: Calculus Two: Linear and Algebraic Curves. Second edition. Nonlinear Functions. Second edition. Bremaud:` An Introduction to Probabilistic Fleming: Functions of Several Variables. Second Modeling. edition. Bressoud: Factorization and Primality Testing. Foulds: Combinatorial Optimization for Bressoud: Second Year Calculus. Undergraduates. Readings in Mathematics. Foulds: Optimization Techniques: An Introduction. Brickman: Mathematical Introduction to Linear Franklin: Methods of Mathematical Programming and Game Theory. Economics. Browder: Mathematical Analysis: An Introduction. Frazier: An Introduction to Wavelets Through Buchmann: Introduction to Cryptography.