Back to Departmental Colloquium: Fall 2015
Departmental Colloquium
Date: Thursday, Sep 24, 2015
Time: 4:00PM
Location: LCB 219
Jon Carlson
University of Georgia
Title |
Modules of constant Jordan type |
Abstract |
In this talk I will give an overview of work with Eric Friedlander, Julia Pevtsova and Andrei Suslin on module of constant Jordan type. Given a nilpotent linear operator on a vector space, the Jordan type is the partition of the dimension that describes the Jordan canonical form of the operator. Given two commuting nilpotent operators X and Y, we can ask about the configuration of the Jordan types of the operators aX+bY, for a and b element of the base field. At its most basic level, the work is concerned with linear algebra. However, it has implications for group representation theory and algebraic geometry. |
Representation Theory
Algebraic Geometry
Geometry and Topology