**SMS scnews item created by James East at Fri 8 May 2009 1505**

Type: Seminar

Modified: Fri 8 May 2009 1509

Distribution: World

Expiry: 15 May 2009

**Calendar1: 15 May 2009 1205-1255**

**CalLoc1: Carslaw 375**

CalTitle1: Algebra Seminar: Molev -- Higher Sugawara operators for gl(n)

Auth: jamese@bari.maths.usyd.edu.au

### Algebra Seminar

# Higher Sugawara operators for gl(n)

### Alex Molev

#### Friday May 15, 12:05--12:55pm, Carslaw 375

###### Abstract

We give an explicit description of the center of the affine vertex algebra for gl(n) at the critical level. The results are applied to construct generators of the classical W-algebra for gl(n) and calculate the eigenvalues of the central elements in the Wakimoto modules at the critical level.

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After the seminar we will be taking the speaker to lunch.

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

James East jamese@maths.usyd.edu.au