CAPITAL REGION ALGEBRA/NUMBER THEORY SEMINAR 


Speaker:       David Vella, Skidmore College

Time:          Wednesday, April 3, at 4:30pm, 

Place:         Earth Science Bldg 152A, University at Albany

Title:         Dimensions of Support Varieties of
               Induced Modules for Algebraic Groups
               (Part III)

Abstract: 

An important recent development in modular representation
theory is the notion of a support variety of a module.  First 
introduced for finite groups by J.F. Carlson, and later extended to
the case of modular Lie algebras by E. Friedlander and B. Parshall, 
this notion was finally extended to infinitesimal algebraic groups 
in 1997 by Friedlander, Suslin & Bendel.  However, aside from some 
early calculations by J. Jantzen in case of the Special Linear Group, 
very few actual calculations of these varieties have been carried out.  
In this talk I will describe how using a concept of 'generic dimension' 
of a graded module, first developed by B. Parshall & J.P. Wang, one 
can obtain bounds on the dimensions of support varieties of induced 
modules.  In recent collaborative work with B. Parshall and D. Nakano,
this has led to some new calculations of support varieties.  



Refreshments at 4:15 pm in ES 152.