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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