SMS scnews item created by Anne Thomas at Fri 16 Sep 2011 1613
Type: Seminar
Distribution: World
Expiry: 23 Sep 2011
Calendar1: 23 Sep 2011 1205-1255
CalLoc1: Carslaw 175
CalTitle1: Algebra Seminar: Futorny -- Torsion theories and corresponding representations
Calendar2: 23 Sep 2011 1435-1525
CalLoc2: Carslaw 175
CalTitle2: Algebra Seminar: Huang -- Quasi-quantum groups and tensor categories: a quiver approach
Auth: athomas(.pmstaff;2039.2002)@p615.pc.maths.usyd.edu.au

# Algebra Seminar: Futorny, Huang

There will be two Algebra Seminars on Friday 23 September, the first by Slava Futorny at
the usual time and the second at 2:35pm by Hua-Lin Huang.

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Speaker: Slava Futorny (University of Sao Paulo)

Date: Friday 23 September

Time: 12:05-12:55pm

Venue: Carslaw 175

Title:

Torsion theories and corresponding representations

Abstract:

We will discuss torsion theories for representations of an important class of
associative algebras which includes all finite W-algebras of type A, in particular the
universal enveloping algebra of gl(n) for all n.  If U is such an algebra which contains
a finitely generated commutative subalgebra G, then the coheight of the associated prime
ideals of G is an invariant of a given simple U-module.  This implies a stratification
of the category of U-modules controlled by the coheight of associated prime ideals of
G.This approach allows in particular to study representations of gl(n) beyond the
classical category of weight or generalized weight modules.  The talk is based on recent
joint results with S.Ovsienko (Kiev) and M.Saorin (Murcia).

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Speaker: Hua-Lin Huang (Shandong University)

Date: Friday 23 September

Time: 2:35-3:25pm

Venue: Carslaw 175

Title:

Quasi-quantum groups and tensor categories: a quiver approach

Abstract:

I report some results obtained, partly jointly with Gongxiang Liu and Yu Ye, within a
quiver approach to quasi-quantum groups and tensor categories.  I will first introduce
the general quiver framework, then apply it to the classification problem of finite
quasi-quantum groups, and finally I discuss some applications, in particular to finite
tensor categories.

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