Institute for Mathematical Sciences Event Archive
Online registration form Enquiries |
|
Branching Laws
(11 - 31 March 2012)
Organizing Committee · Visitors and Participants · Overview · Venue · Activities · Enquiries
Chair
- Chengbo Zhu (National University of Singapore)
Members
- Soo Teck Lee (National University of Singapore)
- Hung Yean Loke (National University of Singapore)
Many problems in representation theory involve understanding how a given representation decomposes when it is restricted to a subgroup, called a branching law. Much effort was devoted to unearthing branching laws, resulting in some of the most spectacular formulas in representation theory, such as the Weyl Character Formula. For applications (to number theory and particle physics, for example), it is also extremely desirable to have explicit branching laws. Famous examples include the Clebsch-Gordan coefficients, Littlewood-Richardson rules and Gelfand - Zeitlin bases. Suffices to say that explicit branching laws are few and far between, and understanding of branching phenomenon remains critical for representation theory and its applications.
The current program aims to examine important recent progress on branching problems, with special attention to the following topics: (1) Invariant theory and toric deformation; (2) Unitary representations and branching laws; (3) Gross-Prasad conjectures.
- IMS Auditorium
- Department of Mathematics, NUS; Blk S17, #04-06 (14 Mar, 2.30pm-3.30pm, 21 Mar 2pm-4.30pm)
The activity will consist of a series of seminars by the overseas and local participants every day.
14 Mar - 16 Mar 2012 · 19 - 23 Mar 2012 · 26 - 30 Mar 2012
09:15am - 09:30am |
Registration |
09:30am - 10:30am |
Dirac cohomology. K-characters and branching laws Jing-Song Huang, Hong Kong University of Science and Technology, Hong Kong |
10:30am - 11:00am |
--- Coffee Break --- |
11:00am - 12:00nn |
On the discretely decomposable (g,K)-modules Yoshiki Oshima, University of Tokyo, Japan |
12:00nn - 02:00pm |
--- Lunch --- |
02:30pm - 03:30pm |
The arithmetic of elliptic curves Benedict Gross, Harvard University, USA |
Thursday, 15 Mar 2012 |
|
09:15am - 09:30am |
Registration |
09:30am - 10:30am |
Derived functor modules, dual pairs and U(g)^K actions Jia Jun Ma, National University of Singapore |
10:30am - 11:00am |
--- Coffee Break --- |
11:00am - 12:00nn |
On a pairing of Goldberg-Shahidi for SO(6n) Wen-Wei Li, Morningside Center of Mathematics, China |
12:00nn - 02:00pm |
--- Lunch --- |
Friday, 16 Mar 2012 |
|
09:15am - 09:30am |
Registration |
09:30am - 10:30am |
The internal structure of parabolic and parahoric subgroups Benedict Gross, Harvard University, USA |
10:30am - 11:00am |
--- Coffee Break --- |
11:00am - 12:00nn |
Multiple flag varieties and spherical actions Kyo Nishiyama, Aoyama Gakuin University, Japan |
12:00nn - 01:30pm |
--- Lunch --- |
01:30pm - 02:30pm |
A Fuchsian differential equation with accessory parameters and Zuckemann's tensoring Tomonori Moriyama, Osaka University, Japan |
10:45am - 11:00am |
Registration |
11:00am - 12:00nn |
Finite multiplicity theorems and real spherical varieties Toshiyuki Kobayashi, University of Tokyo, Japan |
12:00nn - 01:30pm |
--- Group Photo & Lunch Reception at IMS --- |
01:30pm - 02:30pm |
Local theta correspondence and the Gross-Prasad conjecture Wee Teck Gan, National University of Singapore |
Tuesday, 20 Mar 2012 |
|
10:45am - 11:00am |
Registration |
11:00am - 12:00nn |
Hibi algebras and iterated Pieri algebras Roger Howe, Yale University, USA |
12:00nn - 01:30pm |
--- Lunch --- |
01:30pm - 02:30pm |
Gordan Savin, University of Utah, USA |
Wednesday, 21 Mar 2012 |
|
10:45am - 11:00am |
Registration |
11:00am - 12:00nn |
The coherent cohomology of an algebraic group Michel Brion, Université de Grenoble, France |
12:00nn - 02:00pm |
--- Lunch --- |
02:00pm - 03:00pm |
Some applications of representation theory to estimates of automorphic periods Joseph Bernstein, Tel Aviv University, Israel |
03:00am - 03:30pm |
--- Coffee Break --- |
03:30am - 04:30pm |
Kazhdan-Lusztig theory for disconnected groups David Vogan, Massachusetts Institute of Technology, USA |
Thursday, 22 Mar 2012 |
|
10:45am - 11:00am |
Registration |
11:00am - 12:00nn |
Tamotsu Ikeda, Kyoto University, Japan |
12:00nn - 01:30pm |
--- Lunch --- |
01:30pm - 02:30pm |
Shalika models and cohomological test vectors Binyong Sun, Chinese Academy of Sciences, China |
Friday, 23 Mar 2012 |
|
10:45am - 11:00am |
Registration |
11:00am - 12:00nn |
L-functions and theta correspondence Shunsuke Yamana, Osaka City University, Japan |
12:00nn - 01:30pm |
--- Lunch --- |
01:30pm - 02:30pm |
P-adic L-functions on unitary groups Jian-Shu Li, Hong Kong University of Science and Technology, Hong Kong |
10:45am - 11:00am |
Registration |
11:00am - 12:00nn |
Real Chevalley involutions and self-dual representations Jeffrey Adams, University of Maryland, USA |
12:00nn - 01:30pm |
--- Lunch --- |
01:30pm - 02:30pm |
Invariant linear functionals and degenerate Whittaker models Raul Gomez, National University of Singapore |
Tuesday, 27 Mar 2012 |
|
10:45am - 11:00am |
Registration |
11:00am - 12:00nn |
Ubiquity of Schubert varieties Venkatraman Lakshmibai, Northeastern University, USA |
12:00nn - 01:30pm |
--- Lunch --- |
01:30pm - 02:30pm |
Ext-analogue of branching laws for classical groups Dipendra Prasad, Tata Institute of Fundamental Research, India |
02:30am - 03:00pm |
--- Coffee Break --- |
03:00am - 04:00pm |
GLn tensor product algebras and the Littlewood-Richardson rule Soo Teck Lee, National University of Singapore |
Wednesday, 28 Mar 2012 |
|
10:45am - 11:00am |
Registration |
11:00am - 12:00nn |
Path models for branching to symmetric subgroups Allen Knutson, Cornell University, USA |
12:00nn - 01:30pm |
--- Lunch --- |
01:30pm - 02:30pm |
Periods of Saito-Kurokawa representations Yannan Qiu, National University of Singapore |
Thursday, 29 Mar 2012 |
|
10:45am - 11:00am |
Registration |
11:00am - 12:00nn |
Formal degrees and adjoint gamma factors (continued) Atsuchi Ichino, Kyoto University, Japan |
12:00nn - 01:30pm |
--- Lunch --- |
01:30pm - 02:30pm |
Local theta lifts of unitary lowest weight modules to the indefinite orthogonal groups Hung Yean Loke, National University of Singapore |
Friday, 30 Mar 2012 |
|
10:45am - 11:00am |
Registration |
11:00am - 12:00nn |
Martin Weissman, University of California at Santa Cruz, USA |
12:00nn - 01:30pm |
--- Lunch --- |
01:30pm - 02:30pm |
On a class of representations of GL(n) over a p-adic field Erez Lapid, Hebrew University of Jerusalem, Israel |
14 Mar - 16 Mar 2012 · 19 - 23 Mar 2012 · 26 - 30 Mar 2012
Students and researchers who are interested in attending these activities are requested to complete the online registration form.
The following do not need to register:
- Those invited to participate.
Â
For general enquiries, please email us at ims(AT)nus.edu.sg.
For enquiries on scientific aspects of the program, please email Chengbo Zhu at matzhucb(AT)nus.edu.sg.
Organizing Committee · Visitors and Participants · Overview · Venue · Activities · Enquiries
