This award will support an NSF/CMBS regional conference to be held at the University of Massachusetts Boston in the summer of 2012 on the topic of unitary representations of reductive groups. The principal speaker will be Professor David Vogan from the Massachusetts Institute of Technology. This award will support 30 participants at different stages of their careers.

The conference will provide a forum for discussing the latest advances in the field, including a new algorithmic approach that has the potential to give results for the largest exceptional group E_8. The conference will attract a wide range of researchers and advanced graduate students who will be exposed to sophisticated software and computational techniques that will enhance their capacity to investigate conjectures and carry out complex simulations.

Project Report

The main goal of the CBMS 2012 conference on Unitary Representions of Reductive groups is to bring to researchers and advanced graduate students the latest developments and trends in the field. The principal lecturer David Vogan delivered 10 one-hour lectures covering most of the fundamental techniques and their evolution. These lectures covered: Classical examples and applications of unitary representation theory Examples related to automorphic forms The Kirillov-Kostant orbit method ``Classical limit'' constructions in representation theory ``Quantization'' constructions of unitary representations Harish-Chandra's (g,K)-modules Langlands classification Knapp and Zuckerman classification of Hermitian representations Signature algorithm Open problems They are available here: http://www-math.mit.edu/~dav/cbms1.pdf http://www-math.mit.edu/~dav/cbms2.pdf Furthermore, David Vogan is curently writing a manuscript consisting of an expanded version of these lectures. The manuscript will be pusblihed in the CBMS series. The conference provided a forum for discussing the latest advances in the field, including a new algorithmic approach that has the potential to give results for the largest exceptional group E_8. The conference attracted a wide range of researchers and advanced graduate students who were exposed to sophisticated software and computational techniques that will enhance their capacity to investigate conjectures and carry out complex simulations. In addtion there were twelve lecturers who deliver one our talks. They are: Dan Barbasch (Cornell University) Leticia Barchini (Oklahoma State University) Terrence Blackman (Medgar Evers College) Donald King (Northeastern University) Cathy Kriloff (Idaho State University) Marc van Leeuwen (Université de Poitiers, France) William Monty McGovern (University of Washington) Kyo Nishiyama(Aoyama Gakuin University, Japan) Annegret Paul (Western Michigan University) Siddartha Sahi (Rutgers University) Eric Sommers (University of Massachusetts Amherst) Floyd Williams (University of Massachusetts Amherst) The talks complemented and clarified Vogan's lectures and are found here: www.math.umb.edu/~anoel/cbms/speakers/ Here is a list of participants: Caleb Ashley (Howard University) Dan Barbasch (Cornell University) Leticia Barchini (Oklahoma State University) Birne Binegar (Oklahoma State University) Terrence Blackman (Medgar Evers College) Dan Ciubotaru (University of Utah) Vlad Firoiu (MIT) Edray H. Goins (Purdue University) Eric Grinberg (University of Massachusetts Boston) Benjamin Harris (Louisiana State University) Anthony Iarrobino (Northeastern University) Steven Jackson (University of Massachusetts Boston) Garrett Johnson (North Carolina State University) Donald King (Northeastern University) Cathy Kriloff (Idaho State University) Ian Le (Northwestern University) Marc van Leeuwen (Université de Poitiers, France) Eric Marberg (MIT) William Monty McGovern (University of Washington) Todor Milev (Charles University, Prague, Czech Republic) Vinoth Nandakumar (MIT) Kyo Nishiyama (Aoyama Gakuin University, Japan) Annegret Paul (Western Michigan University) Siddartha Sahi (Rutgers University) Susana Salamanca (New Mexico State University) Hadi Salmasian (University of Ottawa) Lucius Schoenbaum (Louisiana State University) Eric Sommers (University of Massachusetts Amherst) Peter Speh (MIT) Bart van Steirteghem (Medgar Evers College) Kenji Taniguchi (Aoyama Gakuin University, Japan) Floyd Williams (University of Massachusetts Amherst) Daniel Wong (Cornell University) Wai Ling Yee (University of Windsor)

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
1137423
Program Officer
Jennifer Slimowitz Pearl
Project Start
Project End
Budget Start
2012-01-01
Budget End
2012-12-31
Support Year
Fiscal Year
2011
Total Cost
$50,158
Indirect Cost
Name
University of Massachusetts Boston
Department
Type
DUNS #
City
Dorchester
State
MA
Country
United States
Zip Code
02125