**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)

### Algebra Seminar

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

### Arakawa

###### Friday 19th April, 12:05-12:55pm, Carslaw 373

###### 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