SMS scnews item created by Kevin Coulembier at Thu 26 Oct 2017 0826
Type: Seminar
Distribution: World
Expiry: 7 Dec 2017
Calendar1: 3 Nov 2017 1200-1300
CalLoc1: Carslaw 375
CalTitle1: Algebra Seminar: Modular representations of sl_n with two-row nilpotent p-character
Auth: kevinc@pkevinc.pc (assumed)

Algebra Seminar: Nandakumar -- Modular representations of sl_n with two-row nilpotent p-character

Vinoth Nandakumar (University of Sydney) 

Friday 3 November, 12-1pm, Place: Carslaw 375 

Title: Modular representations of sl_n with two-row nilpotent p-character 

Abstract: We will study the category of modular representations of the special linear
Lie algebra with a central p-character given by a nilpotent whose Jordan type is a
two-row partition.  Building on work of Cautis and Kamnitzer, we construct a
categorification of the affine tangle calculus using these categories; the main
technical tool is a geometric localization-type result of Bezrukavnikov, Mirkovic and
Rumynin.  Using this, we give combinatorial dimension formulae for the irreducible
modules, composition multiplicities of the simples in the baby Vermas, and a description
of the Ext spaces.  This Ext algebra is an "annular" analogues of Khovanov’s arc
algebra, and can be used to give an extension of Khovanov homology to links in the
annulus.  This is joint with Rina Anno and David Yang.


If you are registered you may mark the scnews item as read.
School members may try to .