香港科技大學賽馬會高等研究院

Co-ordinators

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)

Abstracts

Institute for Advanced Study
Enquiries ias@ust.hk / 2358 5912
http://ias.ust.hk

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高研院新網站 https://ias.hkust.edu.hk/ 現已正式啟用。

你將會自動連結到新網站以了解本院的最新資訊。