Steffen Marcus (Utah) First hour: NAGlab Intersection Multiplicities via. regular chains
Second hour: FRAGMENT Current results in logarithmic Gromov-Witten theory.
Sep. 03, 2013 2pm (MATH 350)
Lie Theory
Nat Thiem (CU)
X
The Bruhat decomposition -- which factors group elements into unipotent, torus, and Weyl group components -- is a fundamental decomposition for groups of Lie type (such as the general linear group). Traditionally, it has been a model for classifying the representations of these groups. However, these methods have also been incomplete, extremely technical, or not open to explicit constructions. This talk reviews some of these methods, discusses some of their limitations, and poses several questions suggested by our recent better understanding of the representation theory of unipotent groups.
The Bruhat decomposition of representations: Is there a reduced row echelon form?
Sep. 03, 2013 2pm (Math 350)
Lie Theory
Nat Thiem (CU)
X
The Bruhat decomposition -- which factors group elements into unipotent, torus, and Weyl group components -- is a fundamental decomposition for groups of Lie type (such as the general linear group). Traditionally, it has been a model for classifying the representations of these groups. However, these methods have also been incomplete, extremely technical, or not open to explicit constructions. This talk reviews some of these methods, discusses some of their limitations, and poses several questions suggested by our recent better understanding of the representation theory of unipotent groups.