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)

# Towards a moment graph approach to critical level representation theory

### Lanini

###### 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

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