Seminar series
Date
Thu, 22 Nov 2007
Time
13:30 -
14:30
Location
L3
Speaker
Catharina Stroppel
Organisation
Glasgow
I will discuss how one can construct nice cellular
algebras using the cohomology of Springer fibres associated with two
block nilpotent matrices (and the convolution product). Their
quasi-hereditary covers can be described via categories of highest
weight modules for the Lie algebra sl(n). The combinatorics of torus
fixed points in the Springer fibre describes decomposition
multiplicities for the corresponding highest weight categories. As a
result one gets a natural subcategory of coherent sheaves on a
resolution of the slice to the corresponding nilpotent orbit.