SMS scnews item created by John Enyang at Sun 14 Apr 2013 1607
Type: Seminar
Distribution: World
Expiry: 20 Apr 2013
Calendar1: 19 Apr 2013 1205-1255
CalLoc1: Carslaw 373
Auth: enyang@penyang.pc (assumed)

# Affine W-algebras and Vinberg’s problem for centralizers

### Arakawa

###### Speaker:

Tomoyuki Arakawa (KURIMS)

###### Title:

Affine W-algebras and Vinberg's problem for centralizers

###### Abstract:

Let $$\mathfrak{g}=\mathfrak{gl}(n,\mathbb{C})$$ and $$e$$ be a nilpotent element of $$\mathfrak{g}$$, $$\mathfrak{g}_e$$ the centralizer of $$e$$ in $$\mathfrak{g}$$. In my talk I will show the existence of a quantization of the Mishchenko-Fomenko algebra in $$S(\mathfrak{g}_e)$$ associated with any regular element in the dual of $$\mathfrak{g}_e$$. The proof uses affine $$W$$-algebras.

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We will take the speaker to lunch after the talk.

See the Algebra Seminar web page for information about other seminars in the series.

John Enyang John.Enyang@sydney.edu.au

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