Joint Journals Catalogue EMS / MSP 2020
Total Page：16
File Type：pdf, Size：1020Kb
Load more
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 -
Properties of High Rank Subvarieties of Affine Spaces 3
PROPERTIES OF HIGH RANK SUBVARIETIES OF AFFINE SPACES DAVID KAZHDAN AND TAMAR ZIEGLER Abstract. We use tools of additive combinatorics for the study of subvarieties defined by high rank families of polynomials in high dimensional Fq-vector spaces. In the first, analytic part of the paper we prove a number properties of high rank systems of polynomials. In the second, we use these properties to deduce results in Algebraic Geometry , such as an effective Stillman conjecture over algebraically closed fields, an analogue of Nullstellensatz for varieties over finite fields, and a strengthening of a recent result of [5]. We also show that for k-varieties X ⊂ An of high rank any weakly polynomial function on a set X(k) ⊂ kn extends to a polynomial. 1. Introduction Let k be a field. For an algebraic k-variety X we write X(k) := X(k). To simplify notations we often write X instead of X(k). In particular we write V := V(k) when V is a vector space and write kN for AN (k). For a k-vector space V we denote by Pd(V) the algebraic variety of polynomials on V of degree ≤ d and by Pd(V ) the set of polynomials functions P : V → k of degree ≤ d. We always assume that d< |k|, so the restriction map Pd(V)(k) → Pd(V ) is a bijection. For a family P¯ = {Pi} of polynomials on V we denote by X V P¯ ⊂ the subscheme defined by the ideal generated by {Pi} and by XP¯ the set XP (k) ⊂ V . We will not distinguish between the set of affine k-subspaces of V and the set of affine subspaces of V since for an affine k-subspace W ⊂ V, the map W → W(k) is a bijection. -
Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry
Mathematisches Forschungsinstitut Oberwolfach Report No. 30/2010 DOI: 10.4171/OWR/2010/30 Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry Organised by Gerhard Knieper, Bochum Leonid Polterovich, Tel Aviv Leonid Potyagailo, Lille July 11th – July 17th, 2010 Abstract. The main theme of the workshop is the interaction between the speedily developing fields of mathematics mentioned in the title. One of the purposes of the workshop is to highlight new exciting developments which are happening right now on the borderline between hyperbolic dynamics, geometric group theory and symplectic geometry. Mathematics Subject Classification (2000): 20Fxx, 22E40, 22E46, 22F10, 37D05, 37D40, 37K65, 53C22, 53Dxx. Introduction by the Organisers Most of the talks of the workshop largely included different aspects related to the main themes of the conference. There were talks given by the well-known specialists as well as by young participants (recent PhD or postdoctoral students). The scientific atmosphere was very fruitful. Many interesting scientific discussions between participants certainly generated new ideas for the further research. The following report contains extended abstracts of the presented talks. By continuing our tradition we included an updated list of open important problems related to the workshop. Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry 1763 Workshop: Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry Table of Contents Norbert Peyerimhoff (joint with Ioannis Ivrissimtzis) Spectral Representations, Archimedean Solids, and finite Coxeter Groups 1765 Fr´ed´eric Bourgeois A brief survey of contact homology ................................1768 Brian H. Bowditch Models of 3-manifolds and hyperbolicity ............................1769 Octav Cornea (joint with Paul Biran) Lagrangian submanifolds: their fundamental group and Lagrangian cobordism .................................................. -
![Arxiv:2007.03981V1 [Math.FA] 8 Jul 2020](https://docslib.b-cdn.net/cover/3082/arxiv-2007-03981v1-math-fa-8-jul-2020-243082.webp)
Arxiv:2007.03981V1 [Math.FA] 8 Jul 2020
FOURIER UNIQUENESS IN R4 ANDREW BAKAN, HAAKAN HEDENMALM, ALFONSO MONTES-RODRÍGUEZ, DANYLO RADCHENKO, AND MARYNA VIAZOVSKA Abstract. We show an interrelation between the uniqueness aspect of the recent Fourier interpolation formula of Radchenko and Viazovska and the Heisenberg uniqueness for the Klein-Gordon equation and the lattice- cross of critical density, studied by Hedenmalm and Montes-Rodríguez. This has been known since 2017. 1. Introduction 1.1. Basic notation in the plane. We write Z for the integers, Z+ for the positive integers, R for the real line, and C for the complex plane. We write H for the upper half-plane {τ ∈ C : Im τ> 0}. Moreover, we d let h·, ·id denote the Euclidean inner product of R . 1.2. The Fourier transform of radial functions. For a function f ∈ L1(Rd), we consider its Fourier transform (with x = (x1,..., xd) and y = (y1,..., yd)) −i2πhx,yid fˆ(y):= e f (x)dvold(x), dvold(x):= dx1 ··· dxd. ZRd If f is radial, then fˆis radial too. A particular example of a radial function is the Gaussian iπτ|x|2 (1.2.1) Gτ(x):= e , which decays nicely provided that Im τ> 0, that is, when τ ∈ H. The Fourier transform of a Gaussian is another Gaussian, in this case −d/2 −d/2 τ −iπ|y|2/τ τ (1.2.2) Gˆ τ(y):= e = G−1/τ(y), i i Here, it is important that τ 7→ −1/τ preserves hyperbolic space H. In the sense of distribution theory, the above relationship extends to boundary points τ ∈ R as well. -
Twenty Female Mathematicians Hollis Williams
Twenty Female Mathematicians Hollis Williams Acknowledgements The author would like to thank Alba Carballo González for support and encouragement. 1 Table of Contents Sofia Kovalevskaya ................................................................................................................................. 4 Emmy Noether ..................................................................................................................................... 16 Mary Cartwright ................................................................................................................................... 26 Julia Robinson ....................................................................................................................................... 36 Olga Ladyzhenskaya ............................................................................................................................. 46 Yvonne Choquet-Bruhat ....................................................................................................................... 56 Olga Oleinik .......................................................................................................................................... 67 Charlotte Fischer .................................................................................................................................. 77 Karen Uhlenbeck .................................................................................................................................. 87 Krystyna Kuperberg ............................................................................................................................. -
Nominations for President
ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society September 2013 Volume 60, Number 8 The Calculus Concept Inventory— Measurement of the Effect of Teaching Methodology in Mathematics page 1018 DML-CZ: The Experience of a Medium- Sized Digital Mathematics Library page 1028 Fingerprint Databases for Theorems page 1034 A History of the Arf-Kervaire Invariant Problem page 1040 About the cover: 63 years since ENIAC broke the ice (see page 1113) Solve the differential equation. Solve the differential equation. t ln t dr + r = 7tet dt t ln t dr + r = 7tet dt 7et + C r = 7et + C ln t ✓r = ln t ✓ WHO HAS THE #1 HOMEWORK SYSTEM FOR CALCULUS? THE ANSWER IS IN THE QUESTIONS. When it comes to online calculus, you need a solution that can grade the toughest open-ended questions. And for that there is one answer: WebAssign. WebAssign’s patent pending grading engine can recognize multiple correct answers to the same complex question. Competitive systems, on the other hand, are forced to use multiple choice answers because, well they have no choice. And speaking of choice, only WebAssign supports every major textbook from every major publisher. With new interactive tutorials and videos offered to every student, it’s not hard to see why WebAssign is the perfect answer to your online homework needs. It’s all part of the WebAssign commitment to excellence in education. Learn all about it now at webassign.net/math. 800.955.8275 webassign.net/math WA Calculus Question ad Notices.indd 1 11/29/12 1:06 PM Notices 1051 of the American Mathematical Society September 2013 Communications 1048 WHAT IS…the p-adic Mandelbrot Set? Joseph H. -
Rostislav Grigorchuk Texas A&M University
CLAREMONT CENTER for MATHEMATICAL SCIENCES CCMSCOLLOQUIUM On Gap Conjecture for group growth and related topics by Rostislav Grigorchuk Texas A&M University Abstract: In this talk we will present a survey of results around the Gap Conjecture which was formulated by thep speaker in 1989. The conjecture states that if growth of a finitely generated group is less than e n, then it is polynomial. If proved, it will be a far reaching improvement of the Gromov's remarkable theorem describing groups of polynomial growth as virtually nilpotent groups. Old and new results around conjecture and its weaker and stronger forms will be formulated and discussed. About the speaker: Professor Grigorchuk received his undergraduate degree in 1975 and Ph.D. in 1978, both from Moscow State University, and a habilitation (Doctor of Science) degree in 1985 at the Steklov Institute of Mathematics in Moscow. During the 1980s and 1990s, Rostislav Grigorchuk held positions in Moscow, and in 2002 joined the faculty of Texas A&M University, where he is now a Distinguished Professor of Mathematics. Grigorchuk is especially famous for his celebrated construction of the first example of a finitely generated group of intermediate growth, thus answering an important problem posed by John Milnor in 1968. This group is now known as the Grigorchuk group, and is one of the important objects studied in geometric group theory. Grigorchuk has written over 100 research papers and monographs, had a number of Ph.D. students and postdocs, and serves on editorial boards of eight journals. He has given numerous talks and presentations, including an invited address at the 1990 International Congress of Mathematicians in Kyoto, an AMS Invited Address at the March 2004 meeting of the AMS in Athens, Ohio, and a plenary talk at the 2004 Winter Meeting of the Canadian Mathematical Society. -
La Mathématicienne Française Du Jour
LaLa mathématiciennemathématicienne françaisefrançaise dudu jourjour Nalini Anantharaman Née à Paris en 1976 Biographie Elle étudie les mathématiques à l'École normale supérieure , puis enseigne à l’École normale supérieure (ENS) de Lyon et à l’École polytechnique. Elle est actuellement professeur à l'université Paris-Sud (Orsay) Vice-présidente de la société Mathématique de France Distinctions Prix Henri-Poincaré 2012 : l'une des quatre lauréats. Médaille d'argent du CNRS en 2013. Prix Jacques Herbrand en 2011. Thème de recherche Ses travaux «se situent à l’interface entre la théorie des systèmes dynamiques classiques et l’analyse des équations aux dérivées partielles», selon le CNRS. La mathématicienne Nalini Anantharaman, enseignante- mouvements pouvaient en fait être désordonnés sur le très chercheuse fait dans la simplicité lorsqu’elle évoque son long terme, et non réguliers comme l’observation conduisait métier. Le prix Henri Poincaré, du nom du célèbre à le supposer. Il a ainsi élaboré une théorie abstraite sur la mathématicien français du début du XXème siècle notion d’évolution ordonnée et chaotique. Tout au long du récompense traditionnellement des chercheurs en “physique XXème siècle, de nombreux chercheurs ont développé des mathématique”. Nalini Anantharaman fait partie des quatre concepts autour de cette idée pour les appliquer à d’autres chercheurs à avoir été salués pour leurs travaux. Le prix a domaines. Comme par exemple les évolutions biologiques. été remis au début du mois d’août 2012, mais Nalini Mais cette théorie du régulier et du chaos ne s’applique pas Anantharaman n’y était pas : la jeune chercheuse donnait au monde quantique. -
Newsletter · Thursday 18Th
KEEP UPDATED NEWSLETTER · THURSDAY 18TH ICIAM'S JOURNEY Like its predecessors, a congress such as ICIAM 2019 would have never been countries like South Africa. ICIAM possible without the organization and supervision of the International Council has the ability to promote for Industrial and Applied Mathematics (ICIAM), a formal entity created in 1990 mathematics all over the world". to supervise these quadrennial meetings. From Paris 1987 to Valencia 2019 many things have changed, and not just in the field of Industrial and Applied The current and future presidents Mathematics. of the Council agree in that ICIAM 2019 in Valencia has been an The original societies that founded ICIAM (GAMM, IMA, SIAM, and SMAI) are absolute success. "In my opinion now surrounded by many other members from around the world and the everything has worked very well Council has expanded its activities significantly since 2004. despite the huge number of participants", says Esteban. "The The Council is responsible for choosing the venue and the 27 invited speakers, conferences are of high quality and which are chosen with a diverse criteria, not only mathematically and in general, especially in the main geographicall, but also with respect to academic vs. industrial work, gender or conferences —invited and prizes— type of academic institution. Furthermore, it is also responsible for overseeing the lecturers have made a real the selection of the five ICIAM prizes —Collatz, Lagrange, Maxwell, Su Buchin, Ya-Xiang Yuan recalls attending ICIAM in effort to present their results in a and Pioneer— awarded every congress. its 1995 edition in Hamburg. "We were comprehensible and pleasant way only 20 Chinese and now we're like 300, for a great variety of participants as well as create a database with all so the same thing can happen to working in very diverse areas ". -
Rapport Annuel 2014-2015
RAPPORT ANNUEL 2014-2015 Présentation du rapport annuel 1 Programme thématique 2 Autres activités 12 Grandes Conférences et colloques 16 Les laboratoires du CRM 20 Les prix du CRM 30 Le CRM et la formation 34 Les partenariats du CRM 38 Les publications du CRM 40 Comités à la tête du CRM 41 Le CRM en chiffres 42 Luc Vinet Présentation En 2014-2015, contrairement à ce qui était le cas dans (en physique mathématique) à Charles Gale de l’Université les années récentes, le programme thématique du CRM a McGill et le prix CRM-SSC (en statistique) à Matías été consacré à un seul thème (très vaste !) : la théorie des Salibián-Barrera de l’Université de Colombie-Britannique. nombres. L’année thématique, intitulée « La théorie des Les Grandes conférences du CRM permirent au grand public nombres : de la statistique Arithmétique aux éléments Zêta », de s’initier à des sujets variés, présentés par des mathémati- a été organisée par les membres du CICMA, un laboratoire ciens chevronnés : Euler et les jets d’eau de Sans-Souci du CRM à la fine pointe de la recherche mondiale, auxquels il (par Yann Brenier), la mesure des émotions en temps réel faut ajouter Louigi Addario-Berry (du Groupe de probabilités (par Chris Danforth), le mécanisme d’Anticythère (par de Montréal). Je tiens à remercier les quatre organisateurs de James Evans) et l’optique et les solitons (par John Dudley). cette brillante année thématique : Henri Darmon de l’Univer- L’année 2014-2015 fut également importante du point de sité McGill, Chantal David de l’Université Concordia, Andrew vue de l’organisation et du financement du CRM. -
![Arxiv:1510.00545V4 [Math.GR] 29 Jun 2016 7](https://docslib.b-cdn.net/cover/1903/arxiv-1510-00545v4-math-gr-29-jun-2016-7-631903.webp)
Arxiv:1510.00545V4 [Math.GR] 29 Jun 2016 7
SCHREIER GRAPHS OF GRIGORCHUK'S GROUP AND A SUBSHIFT ASSOCIATED TO A NON-PRIMITIVE SUBSTITUTION ROSTISLAV GRIGORCHUK, DANIEL LENZ, AND TATIANA NAGNIBEDA Abstract. There is a recently discovered connection between the spectral theory of Schr¨o- dinger operators whose potentials exhibit aperiodic order and that of Laplacians associated with actions of groups on regular rooted trees, as Grigorchuk's group of intermediate growth. We give an overview of corresponding results, such as different spectral types in the isotropic and anisotropic cases, including Cantor spectrum of Lebesgue measure zero and absence of eigenvalues. Moreover, we discuss the relevant background as well as the combinatorial and dynamical tools that allow one to establish the afore-mentioned connection. The main such tool is the subshift associated to a substitution over a finite alphabet that defines the group algebraically via a recursive presentation by generators and relators. Contents Introduction 2 1. Subshifts and aperiodic order in one dimension 3 2. Schr¨odingeroperators with aperiodic order 5 2.1. Constancy of the spectrum and the integrated density of states (IDS) 5 2.2. The spectrum as a set and the absolute continuity of spectral measures 9 2.3. Aperiodic order and discrete random Schr¨odingeroperators 10 3. The substitution τ, its finite words Subτ and its subshift (Ωτ ;T ) 11 3.1. The substitution τ and its subshift: basic features 11 3.2. The main ingredient for our further analysis: n-partition and n-decomposition 14 3.3. The maximal equicontinuous factor of the dynamical system (Ωτ ;T ) 15 3.4. Powers and the index (critical exponent) of Subτ 19 3.5. -
What Is the Grigorchuk Group?
WHAT IS THE GRIGORCHUK GROUP? JAKE HURYN Abstract. The Grigorchuk group was first constructed in 1980 by Rostislav Grigorchuk, defined as a set of measure-preserving maps on the unit interval. In this talk a simpler construction in terms of binary trees will be given, and some important properties of this group will be explored. In particular, we study it as a negative example to a variant of the Burnside problem posed in 1902, an example of a non-linear group, and the first discovered example of a group of intermediate growth. 1. The Infinite Binary Tree We will denote the infinite binary tree by T . The vertex set of T is all finite words in the alphabet f0; 1g, and two words have an edge between them if and only if deleting the rightmost letter of one of them yields the other: ? 0 1 00 01 10 11 . Figure 1. The infinite binary tree T . This will in fact be a rooted tree, with the root at the empty sequence, so that any automorphism of T must fix the empty sequence. Here are some exercises about Aut(T ), the group of automorphisms of T . In this paper, exercises are marked with either ∗ or ∗∗ based on difficulty. Most are taken from exercises or statements made in the referenced books. Exercise 1. Show that the group Aut(T ) is uncountable and has a subgroup iso- morphic to Aut(T ) × Aut(T ).∗ Exercise 2. Impose a topology on Aut(T ) to make it into a topological group home- omorphic to the Cantor set.∗∗ Exercise 3.