**SMS scnews item created by John Enyang at Fri 23 Aug 2013 1428**

Type: Seminar

Distribution: World

Expiry: 30 Aug 2013

**Calendar1: 30 Aug 2013 1205-1255**

**CalLoc1: Carslaw 373**

Auth: enyang@penyang.pc (assumed)

### Algebra Seminar

# Towards a moment graph approach to critical level representation theory

### Lanini

###### Friday 30th August, 12:05-12:55pm, Carslaw 373

###### Speaker:

Martina Lanini (University of Melbourne)

###### Title:

Towards a moment graph approach to critical level representation theory

###### Abstract:

Moment graph techniques have been applied in the study of non-critical blocks of
category \(O\) for affine Kac-Moody algebras, while in the critical case these methods
have not been developed yet. Inspired by the fact that non-critical representations are
controlled by the Hecke algebra \(H\), while critical level representations are expected
to be governed by the periodic module \(M\), we prove the moment graph analogue of a
result by Lusztig which bridges \(H\) and \(M\), and believe that it should provide us
with new tools to attack the critical level case.

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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