Young leading geometers gather at HKUST to brainstorm and identify new research ideas for further collaboration on the precise topics including Automorphic Forms, Shimura Varieties, p-adic and Geometric Langlands program and Cycles and Special Values of L-series. The workshop led by IAS Visiting Member Prof Shouwu Zhang features more than 10 talks by 14 participants from all over the world.
Prof Jianshu Li (HKUST) and
Prof Shou-Wu Zhang (Princeton University and Columbia University; HKUST IAS Visiting Member)
Overview
Arithmetic geometry and representation theory are two central topics in modern mathematics. The study of combination of these two subjects has provided powerful tools in modern number theory, and thereby yielded new results and proofs about L-functions, breakthroughs towards conjectures about algebraic cycles, and new perspectives on classical questions of representation theory. The aim of this workshop is to gather young leading researchers to brainstorm and identify new research ideas for further collaboration on the following precise topics:
1. Automorphic Forms
2. Shimura Varieties
3. p-adic and Geometric Langlands program
4. Cycles and Special Values of L-series
Participants
Name
Institution
Date of Visit
Kai-Wen Lan
Princeton University
Dec 18, 2011 to Jan 8, 2012
Jianshu Li
HKUST
-
Yifeng Liu
Columbia University
Dec 15, 2011 to Jan 16, 2012
Yannan Qiu
Institut des Hautes études Scientifiques
Dec 16, 2011 to Jan 7, 2012
Binyong Sun
Chinese Academy of Sciences
Dec 15, 2011 to Jan 10, 2012
Ye Tian
Chinese Academy of Sciences
Dec 15, 2011 to Jan 8, 2012
Yichao Tian
Chinese Academy of Sciences
Dec 18, 2011 to Jan 14, 2012
Xin Wan
Princeton University
Jan 5-12, 2012
Liang Xiao
University of Chicago
Dec 14, 2011 to Jan 5, 2012
Xinyi Yuan
Princeton University
Dec 18, 2011 to Jan 8, 2012
Shou-Wu Zhang
Princeton University and Columbia University
Dec 14, 2011 to Jan 16, 2012
Wei Zhang
Columbia University
Dec 15, 2011 to Jan 2, 2012 & Jan 12-15, 2012
Xinwen Zhu
Harvard University
Dec 15-22, 2011
Weizhe Zheng
Columbia University
Dec 24, 2011 to Jan 13, 2012
Program Schedule
Date
Speaker
Lecture Title
Dec 16, 2011
Binyong Sun
Shalika models
Dec 17, 2011 *
Wei Zhang
The Gan-Gross-Prasad conjecture and related questions
Dec 19, 2011
Yifeng Liu
Various aspects arising in the GGP restriction problems
Dec 20, 2011
Xinwen Zhu
Bernstein's second adjointness via wonderful compactification
Dec 21, 2011
Yannan Qiu
Relative orbital integrals and pull-back trace
Dec 22, 2011
Liang Xiao
On family versions of some arithmetic conjectures
Dec 23, 2011
Ye Tian
Congruence numbers and Heegner Points
Dec 28, 2011
Kai-Wen Lan
Compactifications of PEL-type Shimura varieties and Kuga famiilies with ordinary loci
Dec 29, 2011
Xinyi Yuan
Counting effective sections of arithmetic line bundles
Dec 30, 2011
Weizhe Zheng
Six operations on Artin stacks
Jan 4, 2012
Yichao Tian
On the companion forms and Buzzards-Taylor's approach to the modularity of certain Artin representations
Jan 5, 2012
Yifeng Liu
Various aspects arising in the GGP restriction problems
Jan 6, 2012
Binyong Sun
Shalika models
Jan 6, 2012
Xin Wan
Iwasawa Theory for Unitary Groups
* Afternoon session on Dec 17 will be held at Room 4619 (4/F via Lifts 31-32)
