Affine W-algebras and Vinberg's problem for centralizers

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