Jun 232014
 

张益唐今天在晨兴数学中心做了一个报告 “A Transition Formula for Mean Values of Dirichlet Polynomials”. 最初的安排是上午 9:30 开始, 地点是晨兴 110 室. 但, 实际的开始时间大概是 9:28, 地点改在几米远的思源楼报告厅. 主持人是王元.

Yitang Zhang made a speech on number theory on June 23 at MCM

Yitang Zhang made a speech on number theory on June 23 at MCM

张老师的这个报告是晨兴数学中心今年的解析数论讨论班的一部分

May 272014
 

2014年度邵逸夫数学科学奖颁予 George Lusztig

以表彰他在代数, 代数几何和表示论方面作出了基础性的贡献, 并将这些学科结合起来, 解决古典问题, 且展现数学中美妙的新联系.

George Lusztig, 1946 年于罗马尼亚蒂米甚瓦拉出生, 现为美国麻省理工学院Abdun-Nur 数学讲座教授. 1968年于罗马尼亚布加勒斯特大学毕业, 1971年于美国普林斯顿大学取得硕士和博士学位. 1971年至1977年于英国华威大学任教, 1974年成为教授. 自1978年起, 他一直在麻省理工学院兼职教授. 2005年获罗马尼亚科学院数学研究所授予荣誉院士. 他是英国皇家学会, 美国人文与科学学院及美国国家科学院院士.

The Shaw Prize in Mathematical Sciences is awarded to George Lusztig

for his fundamental contributions to algebra, algebraic geometry, and representation theory, and for weaving these subjects together to solve old problems and reveal beautiful new connections.

Lusztig received the 1985 AMS Cole Prize in Algebra “for his fundamental work on the representation theory of finite groups of Lie type”, particularly for his contributions to the classification of the irreducible representations in characteristic zero of the groups of rational points of reductive groups over finite fields. He was also awarded the 2008 AMS Steele Prize for Lifetime Achievement. The citation for the Steele Prize noted that Lusztig’s work “has entirely reshaped representation theory and in the process changed much of mathematics.”

Feb 252014
 

Annals, Volume 179, Issue 3 – May 2014, has just been published online. Yitang Zhang’s paper “Bounded gaps between primes” is the seventh paper, Pages 1121-1174.

虽然张的论文去年 5 月就已经可以下载, 但现在才是正式出版.

多数文章, 都是依靠 Annals 得到荣耀, 但张益唐的论文会给 Annals 带来光荣.

 

Feb 162014
 

Yitang Zhang wins the 2014 Rolf Schock Prize in Mathematics, for his spectacular breakthrough concerning the possibility of an infinite number of twin primes. The Royal Swedish Academy of Sciences decided the laureate.

颁奖典礼将于 2014 年 10 月 22 日在瑞典斯德哥尔摩举行. 2014年肖克奖奖金合计 240 万瑞典克朗, 单个奖项的奖金为60万瑞典克朗(约合9万美元).

Jan 182014
 

The 2014 Wolf Prize in Mathematics is awarded to Peter Sarnak, for his deep contributions in analysis, number theory, geometry, and combinatorics.

Peter Sarnak is on the permanent faculty at the School of Mathematics of the Institute for Advanced Study, Princeton, NJ, USA.

Peter Clive Sarnak (born December 18, 1953) graduated University of the Witwatersrand (B.Sc. 1975) and Stanford University (Ph.D. 1980), under the direction of Paul Cohen.

Prof. Sarnak is a mathematician of an extremely broad spectrum with a far-reaching vision. He has impacted the development of several mathematical fields, often by uncovering deep and unsuspected connections. In analysis, he investigated eigenfunctions of quantum mechanical Hamiltonians which correspond to chaotic classical dynamical systems in a series of fundamental papers. He formulated and supported the “Quantum Unique Ergodicity Conjecture” asserting that all eigenfunctions of the Laplacian on negatively curved manifolds are uniformly distributed in phase space. Sarnak’s introduction of tools from number theory into this domain allowed him to obtain results which had seemed out of reach and paved the way for much further progress, in particular the recent works of E. Lindenstrauss and N. Anantharaman. In his work on L-functions (jointly with Z. Rudnick) the relationship of contemporary research on automorphic forms to random matrix theory and the Riemann hypothesis is brought to a new level by the computation of higher correlation functions of the Riemann zeros. This is a major step forward in the exploration of the link between random matrix theory and the statistical properties of zeros of the Riemann zeta function going back to H. Montgomery and A. Odlyzko. In 1999 it culminates in the fundamental work, jointly with N. Katz, on the statistical properties of low-lying zeros of families of L-functions. Sarnak’s work (with A. Lubotzky and R. Philips) on Ramanujan graphs had a huge impact on combinatorics and computer science. Here again he used deep results in number theory to make surprising and important advances in another discipline.

By his insights and his readiness to share ideas he has inspired the work of students and fellow researchers in many areas of mathematics.

Jan 152014
 

Professor Gerd Faltings, winner of the prize in science, is the Director at the Max-Planck Institute for Mathematics in Bonn. He has made groundbreaking contributions to algebraic geometry and number theory. His work combines ingenuity, vision and technical power. He has introduced stunning new tools and techniques which are now constantly used in modern mathematics.

Faltings’ deep insights into the p-adic cohomology of algebraic varieties have been crucial to modern developments in number theory. His work on moduli spaces of abelian varieties has had great influence on arithmetic algebraic geometry. He has introduced new geometric ideas and techniques in the theory of Diophantine approximation, leading to his proof of Lang’s conjecture on rational points of abelian varieties and to a far-reaching generalization of the subspace theorem. Professor Faltings has also made important contributions to the theory of vector bundles on algebraic curves with his proof of the Verlinde formula.

Dec 182013
 

Springer 刚刚出版了 Vladimir Arnold 的 Collected Works II:

Vladimir I. Arnold-Collected Works II

Vladimir I. Arnold-Collected Works II

本书收集了Vladimir Arnold 的 45 篇文章: 33 篇是在1965-1972 年间写成, 8 篇是 80-89 年间发表, 73-79 有 2 篇, 91 与 92 年各有 1 篇.

Vladimir Arnold(June 12, 1937–June 3, 2010)

2. Vladimir I. Arnold – Collected Works: Representations of Functions, Celestial Mechanics, and KAM Theory 1957-1965, Springer, 2009

3. Real Algebraic Geometry, Springer, 2013 edition

4. Yesterday and Long Ago, Sringer, 2007

5. Huygens and Barrow, Newton and Hooke: Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals, Birkhäuser, 1990

6. Arnold’s Problems, Springer, 2nd edition, 2004

甚至有的书, 作者不是 Arnold, 但内容是他的, 学生把上课笔记出版. Abel’s Theorem in Problems and Solutions: Based on the lectures of Professor V.I. Arnold,  V.B. Alekseev, Springer, 2004