Of the American Mathematical Society

Total Page:16

File Type:pdf, Size:1020Kb

Of the American Mathematical Society ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society November 2017 Volume 64, Number 10 Antibiotics Time Machines Are Hard to Build page 1136 Fall Western Sectional Sampler page 1142 Backlog of Mathematics Research Journals page 1184 Biennial Overview of AMS Honors page 1200 See “An Invitation to Tensor-Triangular Geometry” (page 1143). Notices of the American Mathematical Society November 2017 FEATURED 1136684 1142 26 1148 Antibiotics Time AMS Fall Western Sectional The Concept of Varifold Machines Are Hard to Sampler by Ulrich Menne Build An Invitation to Tensor-Triangular Geometry by Paul Balmer by Ngoc M. Tran and Jed Yang Double Affi ne Hecke Algebras and Th eir Applications by Pavel Etingof Combinatorics, Categorifi cation, and Crystals by Monica Vazirani November, the month of the American Thanksgiving, seems an appropriate time to be grateful for mathematics, for our community, and especially for you our Notices readers. In appreciation we offer a feature on the difficulty of undoing the problem of antibiotic-resistant microbes, a sampler from the AMS Fall Western Sectional, a deep glimpse into the concept of varifold, a preview of the AMS two-day short course on discrete differential geometry, an account of immigration in the history of the Princeton Institute for Advanced Study, the Graduate Student section, and advice on writing a teaching recommendation letter and on making mathematics accessible to people with hearing loss. —Frank Morgan, Editor-in-Chief ALSO IN THIS ISSUE COMMENTARY 1153 A Glimpse into Discrete Diff erential Geometry 1133 Letters to the Editor by Keenan Crane and Max Wardetzky 1178 Opinion: Writing a Teaching Letter 1160 Immigration, Freedom, and the History of the Chris Woodward Institute for Advanced Study by Fadi Bardawil, omas Dodman, Ian Jauslin, 1180 Opinion: Accessible Mathematics for People with Pascal Marichalar, Klaus Oschema, and Hearing Loss at Colleges and Universities Peter Redfi eld J. Tilak Ratnanather 1198 AMS Reciprocity Agreements 1191 Book Review: e Slow Professor David Manderscheid GRADUATE STUDENT SECTION FROM THE AMS SECRETARY 1170 Lillian Pierce Interview 1141 2018 AMS Elections: Call for Suggestions Laure Flapan 1184 Backlog of Mathematics Research Journals 1173 WHAT IS... a Varifold? Editors 1200 Biennial Overview of AMS Honors 1174 AMS Graduate Student Blog Notices A MERICAN M ATHEMATICAL S OCIETY of the American Mathematical Society A Mathematical NO NOT USE AVAILABLE IN EBOOK FORMAT Gallery AVAILABLE IN EBOOK FORMAT 2018 JOINT MATHEMATICS MEETINGS AVAILABLE IN EBOOK FORMAT 1247 San Diego Meeting Registration Forms Lisl Gaal Embark on a playful mathematical tour, AVAILABLE IN aided by Lisl Gaal’sEBOOK illustrations FORMAT of familiar scenes and whimsical triggers for the imag- IN EVERY ISSUE ination. Along the way, find fruit stands arranged using polynomial multiplication, 1194 BookShelf checkerboard tablecloths sewn with pat- terns of primes in a two-dimensional num- 1196 The Back Page ber system, and deceptive cats revealing that simple counting is not always so 1208 Mathematics Opportunities simple. This is a book to read and revisit, 1211 Mathematics People gaining new insights each time. 2017; 64 pages; Softcover; ISBN: 978-1-4704-4159- 1217 Inside the AMS 3; List US$25; AMS members US$20; Order code MBK/111 1219 New Publications Offered by the AMS 1226 Mathematics Calendar 1228 Classified Advertising 1234 Meetings and Conferences of the AMS Pre-order your copy at bookstore.ams.org/mbk-111 (800)321-4267 (US & Canada) (401)455-4000 (Worldwide) Notices of the American Mathematical Society EDITOR-IN-CHIEF CONTACTING THE NOTICES Frank Morgan SUBSCRIPTION INFORMATION ASSOCIATE EDITORS Subscription prices for Volume 64 (2017) are US$637 list; Benjamin Braun, US$509.60 institutional member; US$382.20 individual mem- Alexander Diaz-Lopez, Thomas Garrity, Joel Hass, ber; US$573.30 corporate member. (The subscription price for Stephen Kennedy, Florian Luca, Steven J. Miller, members is included in the annual dues.) A late charge of 10% of Harriet Pollatsek, Carla Savage (ex officio), the subscription price will be imposed upon orders received from Cesar E. Silva, Christina Sormani, Daniel J. Velleman non-members after January 1 of the subscription year. Add for CONSULTANTS postage: Surface delivery outside the United States and India— John Baez, Hélène Barcelo, Ricardo Cortez, Jerry Folland, US$27; in India—US$40; expedited delivery to destinations in Tara Holm, Kenneth A. Ribet North America—US$35; elsewhere—US$120. Subscriptions and orders for AMS publications should be addressed to the ASSISTANT to the EDITOR-IN-CHIEF American Mathematical Society, P.O. Box 845904, Boston, MA Sophia D. Merow 02284-5904 USA. All orders must be prepaid. SENIOR WRITER/DEPUTY EDITOR MANAGING EDITOR Allyn Jackson Rachel L. Rossi ADVERTISING ADVERTISING COORDINATOR Notices publishes situations wanted and classified advertising, Anne Newcomb and display advertising for publishers and academic or scientific organizations. Advertising requests, materials, and/or questions REPRINT PERMISSIONS should be sent to: Erin M. Buck [email protected] (classified ads) CONTRIBUTING WRITER [email protected] (display ads) Elaine Kehoe PERMISSIONS COMPOSITION, DESIGN and EDITING All requests to reprint Notices articles should be sent to: John Brady, Anna Hattoy, Lori Nero, Karen Ouellette, [email protected] Becky Rivard, Courtney Rose, Deborah Smith, Mike Southern, Peter Sykes SUBMISSIONS The editor-in-chief should be contacted about articles for Supported by the AMS membership, most of this publication, consideration after potential authors have reviewed the “For including the opportunity to post comments, is freely available Authors” page at www.ams.org/publications/journals/notices/ electronically through the AMS website, the Society’s resource noticesauthors. for delivering electronic products and services. Use the URL The managing editor should be contacted for additions to our www.ams.org/notices/ to access the Notices on the website. The news sections and for any questions or corrections. Contact the online version of the Notices is the version of record, so it may managing editor at: [email protected] occasionally differ slightly from the print version. Letters to the editor should be sent to: The print version is a privilege of Membership. Graduate students [email protected] at member institutions can opt to receive the print magazine by updating their individual member profiles at https://www.ams. Additions to the Math Calendar should be submitted at: org/cml/update-ams. For questions regarding updating your bit.ly/1SDf5kF profile, please call 800-321-4267. To make suggestions for additions to other sections, and for For back issues see www.ams.org/backvols. Note: Single issues full contact information, see www.ams.org/publications/ of the Notices are not available after one calendar year. journals/notices/noticescontact [Notices of the American Mathematical Society (ISSN 0002-9920) is published monthly except bimonthly in June/July by the American Mathematical Society at 201 Charles Street, Providence, RI 02904-2294 USA, GST No. 12189 2046 RT****. Periodicals postage paid at Providence, RI, and additional mailing offices. POSTMASTER: Send address change notices to Notices of the American Mathematical Society, P.O. Box 6248, Providence, RI 02904-6248 USA.] Publication here of the Society’s street address and the other bracketed information is a technical requirement of the U.S. Postal Service. © Copyright 2017 by the American Mathematical Society. All rights reserved. Printed in the United States of America. The paper used in this journal is acid-free and falls within the guidelines established to ensure permanence and durability. Opinions expressed in signed Notices articles are those of the authors and do not necessarily reflect opinions of the editors or policies of the American Mathematical Society. LETTERS TO THE EDITOR Presidential Nomination by Petition? It was impossible not to think of the current adminis- I recently received the September 2017 AMS Notices, which tration. Following that, the “Ode to Joy” in Beethoven’s contains the information on the presidential candidates. Symphony became a prayer for peace and reconciliation Professors Pipher and Williams are eminently qualified, for all mankind. I hadn't expected it, but the program and whichever one is elected will no doubt be an excel- seemed to be the orchestra’s response to the question, lent president. “How do we, as musicians, respond to the catastrophic Nevertheless I wonder if it would be appropriate to situation that confronts us?” That got me thinking: how allow nomination by petition for AMS president (as it is do we respond, as mathematicians? I don’t think this now for other officers and the Council). This is the practice story about the travel ban was the full answer, but it is for many academic and professional organizations. I feel something. Thank you for that. it would increase participation by the membership and —Lyla Fadali allow for greater diversity. One could require a substantial Occidental College number of supporting signatures to preclude frivolous nominations. (Received August 9, 2017) I urge the officers of the AMS as well as the president More to Internationalism than Migration elect to set in motion a procedure for nomination by peti- tion for president. Moon Duchin’s timely commentary in the August 2017 No- —Joe Auslander tices, paired with an article on
Recommended publications
  • Of the American Mathematical Society August 2017 Volume 64, Number 7
    ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society August 2017 Volume 64, Number 7 The Mathematics of Gravitational Waves: A Two-Part Feature page 684 The Travel Ban: Affected Mathematicians Tell Their Stories page 678 The Global Math Project: Uplifting Mathematics for All page 712 2015–2016 Doctoral Degrees Conferred page 727 Gravitational waves are produced by black holes spiraling inward (see page 674). American Mathematical Society LEARNING ® MEDIA MATHSCINET ONLINE RESOURCES MATHEMATICS WASHINGTON, DC CONFERENCES MATHEMATICAL INCLUSION REVIEWS STUDENTS MENTORING PROFESSION GRAD PUBLISHING STUDENTS OUTREACH TOOLS EMPLOYMENT MATH VISUALIZATIONS EXCLUSION TEACHING CAREERS MATH STEM ART REVIEWS MEETINGS FUNDING WORKSHOPS BOOKS EDUCATION MATH ADVOCACY NETWORKING DIVERSITY blogs.ams.org Notices of the American Mathematical Society August 2017 FEATURED 684684 718 26 678 Gravitational Waves The Graduate Student The Travel Ban: Affected Introduction Section Mathematicians Tell Their by Christina Sormani Karen E. Smith Interview Stories How the Green Light was Given for by Laure Flapan Gravitational Wave Research by Alexander Diaz-Lopez, Allyn by C. Denson Hill and Paweł Nurowski WHAT IS...a CR Submanifold? Jackson, and Stephen Kennedy by Phillip S. Harrington and Andrew Gravitational Waves and Their Raich Mathematics by Lydia Bieri, David Garfinkle, and Nicolás Yunes This season of the Perseid meteor shower August 12 and the third sighting in June make our cover feature on the discovery of gravitational waves
    [Show full text]
  • Hilbert Constance Reid
    Hilbert Constance Reid Hilbert c COPERNICUS AN IMPRINT OF SPRINGER-VERLAG © 1996 Springer Science+Business Media New York Originally published by Springer-Verlag New York, Inc in 1996 All rights reserved. No part ofthis 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 the prior written permission of the publisher. Library ofCongress Cataloging·in-Publication Data Reid, Constance. Hilbert/Constance Reid. p. Ctn. Originally published: Berlin; New York: Springer-Verlag, 1970. Includes bibliographical references and index. ISBN 978-0-387-94674-0 ISBN 978-1-4612-0739-9 (eBook) DOI 10.1007/978-1-4612-0739-9 I. Hilbert, David, 1862-1943. 2. Mathematicians-Germany­ Biography. 1. Title. QA29.HsR4 1996 SIO'.92-dc20 [B] 96-33753 Manufactured in the United States of America. Printed on acid-free paper. 9 8 7 6 543 2 1 ISBN 978-0-387-94674-0 SPIN 10524543 Questions upon Rereading Hilbert By 1965 I had written several popular books, such as From liro to Infinity and A Long Way from Euclid, in which I had attempted to explain certain easily grasped, although often quite sophisticated, mathematical ideas for readers very much like myself-interested in mathematics but essentially untrained. At this point, with almost no mathematical training and never having done any bio­ graphical writing, I became determined to write the life of David Hilbert, whom many considered the profoundest mathematician of the early part of the 20th century. Now, thirty years later, rereading Hilbert, certain questions come to my mind.
    [Show full text]
  • Investigating Statistical Privacy Frameworks from the Perspective of Hypothesis Testing 234 Able Quantity
    Investigating Statistical Privacy Frameworks from the Perspective of Hypothesis Testing 234 able quantity. Only a limited number of previous works which can provide a natural and interpretable guide- [29, 34, 35] have investigated the question of how to line for selecting proper privacy parameters by system select a proper value of ǫ, but these approaches ei- designers and researchers. Furthermore, we extend our ther require complicated economic models or lack the analysis on unbounded DP to bounded DP and the ap- analysis of adversaries with arbitrary auxiliary informa- proximate (ǫ, δ)-DP. tion (see Section 2.3 for more details). Our work is in- Impact of Auxiliary Information. The conjecture spired by the interpretation of differential privacy via that auxiliary information can influence the design of hypothesis testing, initially introduced by Wasserman DP mechanisms has been made in prior work [8, 28, 32, and Zhou [27, 30, 60]. However, this interpretation has 33, 39, 65]. We therefore investigate the adversary’s ca- not been systematically investigated before in the con- pability based on hypothesis testing under three types text of our research objective, i.e., reasoning about the of auxiliary information: the prior distribution of the in- choice of the privacy parameter ǫ (see Section 2.4 for put record, the correlation across records, and the corre- more details). lation across time. Our analysis demonstrates that the We consider hypothesis testing [2, 45, 61] as the tool auxiliary information indeed influences the appropriate used by the adversary to infer sensitive information of selection of ǫ. The results suggest that, when possible an individual record (e.g., the presence or absence of and available, the practitioners of DP should explicitly a record in the database for unbounded DP) from the incorporate adversary’s auxiliary information into the outputs of privacy mechanisms.
    [Show full text]
  • The Singular Structure and Regularity of Stationary Varifolds 3
    THE SINGULAR STRUCTURE AND REGULARITY OF STATIONARY VARIFOLDS AARON NABER AND DANIELE VALTORTA ABSTRACT. If one considers an integral varifold Im M with bounded mean curvature, and if S k(I) x ⊆ ≡ { ∈ M : no tangent cone at x is k + 1-symmetric is the standard stratification of the singular set, then it is well } known that dim S k k. In complete generality nothing else is known about the singular sets S k(I). In this ≤ paper we prove for a general integral varifold with bounded mean curvature, in particular a stationary varifold, that every stratum S k(I) is k-rectifiable. In fact, we prove for k-a.e. point x S k that there exists a unique ∈ k-plane Vk such that every tangent cone at x is of the form V C for some cone C. n 1 n × In the case of minimizing hypersurfaces I − M we can go further. Indeed, we can show that the singular ⊆ set S (I), which is known to satisfy dim S (I) n 8, is in fact n 8 rectifiable with uniformly finite n 8 measure. ≤ − − − 7 An effective version of this allows us to prove that the second fundamental form A has apriori estimates in Lweak on I, an estimate which is sharp as A is not in L7 for the Simons cone. In fact, we prove the much stronger | | 7 estimate that the regularity scale rI has Lweak-estimates. The above results are in fact just applications of a new class of estimates we prove on the quantitative k k k k + stratifications S ǫ,r and S ǫ S ǫ,0.
    [Show full text]
  • Geometric Measure Theory and Differential Inclusions
    GEOMETRIC MEASURE THEORY AND DIFFERENTIAL INCLUSIONS C. DE LELLIS, G. DE PHILIPPIS, B. KIRCHHEIM, AND R. TIONE Abstract. In this paper we consider Lipschitz graphs of functions which are stationary points of strictly polyconvex energies. Such graphs can be thought as integral currents, resp. varifolds, which are stationary for some elliptic integrands. The regularity theory for the latter is a widely open problem, in particular no counterpart of the classical Allard’s theorem is known. We address the issue from the point of view of differential inclusions and we show that the relevant ones do not contain the class of laminates which are used in [22] and [25] to construct nonregular solutions. Our result is thus an indication that an Allard’s type result might be valid for general elliptic integrands. We conclude the paper by listing a series of open questions concerning the regularity of stationary points for elliptic integrands. 1. Introduction m 1 n×m Let Ω ⊂ R be open and f 2 C (R ; R) be a (strictly) polyconvex function, i.e. such that there is a (strictly) convex g 2 C1 such that f(X) = g(Φ(X)), where Φ(X) denotes the vector of n subdeterminants of X of all orders. We then consider the following energy E : Lip(Ω; R ) ! R: E(u) := f(Du)dx : (1) ˆΩ n Definition 1.1. Consider a map u¯ 2 Lip(Ω; R ). The one-parameter family of functions u¯ + "v will be called outer variations and u¯ will be called critical for E if d E 1 n (¯u + "v) = 0 8v 2 Cc (Ω; R ) : d" "=0 1 m 1 Given a vector field Φ 2 Cc (Ω; R ) we let X" be its flow .
    [Show full text]
  • 2008 Annual Report
    2008 Annual Report NATIONAL ACADEMY OF ENGINEERING ENGINEERING THE FUTURE 1 Letter from the President 3 In Service to the Nation 3 Mission Statement 4 Program Reports 4 Engineering Education 4 Center for the Advancement of Scholarship on Engineering Education 6 Technological Literacy 6 Public Understanding of Engineering Developing Effective Messages Media Relations Public Relations Grand Challenges for Engineering 8 Center for Engineering, Ethics, and Society 9 Diversity in the Engineering Workforce Engineer Girl! Website Engineer Your Life Project Engineering Equity Extension Service 10 Frontiers of Engineering Armstrong Endowment for Young Engineers-Gilbreth Lectures 12 Engineering and Health Care 14 Technology and Peace Building 14 Technology for a Quieter America 15 America’s Energy Future 16 Terrorism and the Electric Power-Delivery System 16 U.S.-China Cooperation on Electricity from Renewables 17 U.S.-China Symposium on Science and Technology Strategic Policy 17 Offshoring of Engineering 18 Gathering Storm Still Frames the Policy Debate 20 2008 NAE Awards Recipients 22 2008 New Members and Foreign Associates 24 2008 NAE Anniversary Members 28 2008 Private Contributions 28 Einstein Society 28 Heritage Society 29 Golden Bridge Society 29 Catalyst Society 30 Rosette Society 30 Challenge Society 30 Charter Society 31 Other Individual Donors 34 The Presidents’ Circle 34 Corporations, Foundations, and Other Organizations 35 National Academy of Engineering Fund Financial Report 37 Report of Independent Certified Public Accountants 41 Notes to Financial Statements 53 Officers 53 Councillors 54 Staff 54 NAE Publications Letter from the President Engineering is critical to meeting the fundamental challenges facing the U.S. economy in the 21st century.
    [Show full text]
  • MA3403 Algebraic Topology Lecturer: Gereon Quick Lecture 21
    MA3403 Algebraic Topology Lecturer: Gereon Quick Lecture 21 21. Applications of cup products in cohomology We are going to see some examples where we calculate or apply multiplicative structures on cohomology. But we start with a couple of facts we forgot to mention last time. Relative cup products Let (X;A) be a pair of spaces. The formula which specifies the cup product by its effect on a simplex (' [ )(σ) = '(σj[e0;:::;ep]) (σj[ep;:::;ep+q]) extends to relative cohomology. For, if σ : ∆p+q ! X has image in A, then so does any restriction of σ. Thus, if either ' or vanishes on chains with image in A, then so does ' [ . Hence we get relative cup product maps Hp(X; R) × Hq(X;A; R) ! Hp+q(X;A; R) Hp(X;A; R) × Hq(X; R) ! Hp+q(X;A; R) Hp(X;A; R) × Hq(X;A; R) ! Hp+q(X;A; R): More generally, assume we have two open subsets A and B of X. Then the formula for ' [ on cochains implies that cup product yields a map Sp(X;A; R) × Sq(X;B; R) ! Sp+q(X;A + B; R) where Sn(X;A+B; R) denotes the subgroup of Sn(X; R) of cochains which vanish on sums of chains in A and chains in B. The natural inclusion Sn(X;A [ B; R) ,! Sn(X;A + B; R) induces an isomorphism in cohomology. For we have a map of long exact coho- mology sequences Hn(A [ B) / Hn(X) / Hn(X;A [ B) / Hn+1(A [ B) / Hn+1(X) Hn(A + B) / Hn(X) / Hn(X;A + B) / Hn+1(A + B) / Hn+1(X) 1 2 where we omit the coefficients.
    [Show full text]
  • The Book of Abstracts
    1st Joint Meeting of the American Mathematical Society and the New Zealand Mathematical Society Victoria University of Wellington Wellington, New Zealand December 12{15, 2007 American Mathematical Society New Zealand Mathematical Society Contents Timetables viii Plenary Addresses . viii Special Sessions ............................. ix Computability Theory . ix Dynamical Systems and Ergodic Theory . x Dynamics and Control of Systems: Theory and Applications to Biomedicine . xi Geometric Numerical Integration . xiii Group Theory, Actions, and Computation . xiv History and Philosophy of Mathematics . xv Hopf Algebras and Quantum Groups . xvi Infinite Dimensional Groups and Their Actions . xvii Integrability of Continuous and Discrete Evolution Systems . xvii Matroids, Graphs, and Complexity . xviii New Trends in Spectral Analysis and PDE . xix Quantum Topology . xx Special Functions and Orthogonal Polynomials . xx University Mathematics Education . xxii Water-Wave Scattering, Focusing on Wave-Ice Interactions . xxiii General Contributions . xxiv Plenary Addresses 1 Marston Conder . 1 Rod Downey . 1 Michael Freedman . 1 Bruce Kleiner . 2 Gaven Martin . 2 Assaf Naor . 3 Theodore A Slaman . 3 Matt Visser . 4 Computability Theory 5 George Barmpalias . 5 Paul Brodhead . 5 Cristian S Calude . 5 Douglas Cenzer . 6 Chi Tat Chong . 6 Barbara F Csima . 6 QiFeng ................................... 6 Johanna Franklin . 7 Noam Greenberg . 7 Denis R Hirschfeldt . 7 Carl G Jockusch Jr . 8 Bakhadyr Khoussainov . 8 Bj¨ornKjos-Hanssen . 8 Antonio Montalban . 9 Ng, Keng Meng . 9 Andre Nies . 9 i Jan Reimann . 10 Ludwig Staiger . 10 Frank Stephan . 10 Hugh Woodin . 11 Guohua Wu . 11 Dynamical Systems and Ergodic Theory 12 Boris Baeumer . 12 Mathias Beiglb¨ock . 12 Arno Berger . 12 Keith Burns . 13 Dmitry Dolgopyat . 13 Anthony Dooley .
    [Show full text]
  • Homological Mirror Symmetry for the Genus 2 Curve in an Abelian Variety and Its Generalized Strominger-Yau-Zaslow Mirror by Cath
    Homological mirror symmetry for the genus 2 curve in an abelian variety and its generalized Strominger-Yau-Zaslow mirror by Catherine Kendall Asaro Cannizzo A dissertation submitted in partial satisfaction of the requirements for the degree of Doctor of Philosophy in Mathematics in the Graduate Division of the University of California, Berkeley Committee in charge: Professor Denis Auroux, Chair Professor David Nadler Professor Marjorie Shapiro Spring 2019 Homological mirror symmetry for the genus 2 curve in an abelian variety and its generalized Strominger-Yau-Zaslow mirror Copyright 2019 by Catherine Kendall Asaro Cannizzo 1 Abstract Homological mirror symmetry for the genus 2 curve in an abelian variety and its generalized Strominger-Yau-Zaslow mirror by Catherine Kendall Asaro Cannizzo Doctor of Philosophy in Mathematics University of California, Berkeley Professor Denis Auroux, Chair Motivated by observations in physics, mirror symmetry is the concept that certain mani- folds come in pairs X and Y such that the complex geometry on X mirrors the symplectic geometry on Y . It allows one to deduce information about Y from known properties of X. Strominger-Yau-Zaslow (1996) described how such pairs arise geometrically as torus fibra- tions with the same base and related fibers, known as SYZ mirror symmetry. Kontsevich (1994) conjectured that a complex invariant on X (the bounded derived category of coherent sheaves) should be equivalent to a symplectic invariant of Y (the Fukaya category). This is known as homological mirror symmetry. In this project, we first use the construction of SYZ mirrors for hypersurfaces in abelian varieties following Abouzaid-Auroux-Katzarkov, in order to obtain X and Y as manifolds.
    [Show full text]
  • 2009 SIAM Annual Meeting Is Being Held Rooms Sell out Quickly!) in Conjunction with the Community Lecture Wednesday, July 8, 6:15 – 7:15 PM I.E
    Join SIAM in Denverwww.siam.org/meetings/an09 Organizing Committee Mihai Anitescu, Argonne National Laboratory Andrew Conn, IBM T. J. Watson Research Center Lenore Cowen, Tufts University William McEneaney, University of California, San Diego Esmond Ng, Lawrence Berkeley National Laboratory Donald Estep, Colorado State University Lori Freitag-Diachin (co-chair), Lawrence Livermore National Laboratory Padma Raghavan, Pennsylvania State University Jonathan Rubin, University of Pittsburgh Invited Presentations Björn Sandstede, University of Surrey, United Plenary Speakers Kingdom Heinz-Otto Kreiss, KTH Stockholm, Sweden Rob Schreiber, Hewlett Packard Karl Kunisch*, University of Graz, Austria Tao Tang, Hong Kong Baptist University, Hong Kong Ulisses Mello, IBM Research Andy Wathen (co-chair), University of Oxford, * Joint speaker with the 2009 SIAM Conference on United Kingdom Control and Its Applications Thaleia Zariphopoulou, University of Texas, Austin Topical Speakers Alberto Bressan, Pennsylvania State University Prizes and Awards Luncheon Russel E. Caflisch, University of California, Los Angeles The following prizes and awards will be presented Stephen Coombes, University of Nottingham, at the prizes and awards luncheon on Tuesday, United Kingdom July 7, 12:30 – 2:00 PM. Michael C. Ferris, University of Wisconsin Wen-mei Hwu, University of Illinois at Urbana-Champaign I. E. Block Community Lecture Ioannis Karatzas, Columbia University Theodore von Kármán Prize Lecture Charles E. Leiserson, Cilk Arts and Massachusetts AWM-SIAM Sonia Kovalevsky Lecture Institute of Technology W. T. and Idalia Reid Prize in Mathematics Lecture Lois Curfman McInnes, Argonne National Laboratory The John von Neumann Lecture Denver images courtesy Bruce Younggreen, and Denver Visitors and Convention Bureau and Denver Visitors Younggreen, Denver images courtesy Bruce Juan C.
    [Show full text]
  • Digital Communication Systems 2.2 Optimal Source Coding
    Digital Communication Systems EES 452 Asst. Prof. Dr. Prapun Suksompong [email protected] 2. Source Coding 2.2 Optimal Source Coding: Huffman Coding: Origin, Recipe, MATLAB Implementation 1 Examples of Prefix Codes Nonsingular Fixed-Length Code Shannon–Fano code Huffman Code 2 Prof. Robert Fano (1917-2016) Shannon Award (1976 ) Shannon–Fano Code Proposed in Shannon’s “A Mathematical Theory of Communication” in 1948 The method was attributed to Fano, who later published it as a technical report. Fano, R.M. (1949). “The transmission of information”. Technical Report No. 65. Cambridge (Mass.), USA: Research Laboratory of Electronics at MIT. Should not be confused with Shannon coding, the coding method used to prove Shannon's noiseless coding theorem, or with Shannon–Fano–Elias coding (also known as Elias coding), the precursor to arithmetic coding. 3 Claude E. Shannon Award Claude E. Shannon (1972) Elwyn R. Berlekamp (1993) Sergio Verdu (2007) David S. Slepian (1974) Aaron D. Wyner (1994) Robert M. Gray (2008) Robert M. Fano (1976) G. David Forney, Jr. (1995) Jorma Rissanen (2009) Peter Elias (1977) Imre Csiszár (1996) Te Sun Han (2010) Mark S. Pinsker (1978) Jacob Ziv (1997) Shlomo Shamai (Shitz) (2011) Jacob Wolfowitz (1979) Neil J. A. Sloane (1998) Abbas El Gamal (2012) W. Wesley Peterson (1981) Tadao Kasami (1999) Katalin Marton (2013) Irving S. Reed (1982) Thomas Kailath (2000) János Körner (2014) Robert G. Gallager (1983) Jack KeilWolf (2001) Arthur Robert Calderbank (2015) Solomon W. Golomb (1985) Toby Berger (2002) Alexander S. Holevo (2016) William L. Root (1986) Lloyd R. Welch (2003) David Tse (2017) James L.
    [Show full text]
  • Early History of the Riemann Hypothesis in Positive Characteristic
    The Legacy of Bernhard Riemann c Higher Education Press After One Hundred and Fifty Years and International Press ALM 35, pp. 595–631 Beijing–Boston Early History of the Riemann Hypothesis in Positive Characteristic Frans Oort∗ , Norbert Schappacher† Abstract The classical Riemann Hypothesis RH is among the most prominent unsolved prob- lems in modern mathematics. The development of Number Theory in the 19th century spawned an arithmetic theory of polynomials over finite fields in which an analogue of the Riemann Hypothesis suggested itself. We describe the history of this topic essentially between 1920 and 1940. This includes the proof of the ana- logue of the Riemann Hyothesis for elliptic curves over a finite field, and various ideas about how to generalize this to curves of higher genus. The 1930ies were also a period of conflicting views about the right method to approach this problem. The later history, from the proof by Weil of the Riemann Hypothesis in charac- teristic p for all algebraic curves over a finite field, to the Weil conjectures, proofs by Grothendieck, Deligne and many others, as well as developments up to now are described in the second part of this diptych: [44]. 2000 Mathematics Subject Classification: 14G15, 11M99, 14H52. Keywords and Phrases: Riemann Hypothesis, rational points over a finite field. Contents 1 From Richard Dedekind to Emil Artin 597 2 Some formulas for zeta functions. The Riemann Hypothesis in characteristic p 600 3 F.K. Schmidt 603 ∗Department of Mathematics, Utrecht University, Princetonplein 5, 3584 CC
    [Show full text]