Seminario: Towards a moment graph approach to critical level representation theory

Giovedi 6 Marzo 2014, ore 10:00 - Sala Riunioni VII piano - Martina Lanini



Giovedi 6 Marzo 2014 alle ore 10:00 in Sala Riunioni VII piano, la Dott.ssa Martina Lanini (Erlangen) terrĂ  un seminario dal titolo "Towards a moment graph approach to critical level representation theory".

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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