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Series of lectures on “Moment graphs in representation theory”

February 20-March 16, 2017, h. 14:30 - Peter Fiebig

ARGOMENTI: Seminari

Prof. Peter Fiebig (Erlangen-Nurnberg) will deliver a series of lectures on “Moment graphs in representation theory”.
The mini-course is well-suited for PhD students.

Abstract
Moment graphs and their sheaf theory provide a powerful tool to understand categorical structures appearing in many places in Lie theoretic representation theory. For example, they encode the structure of the projective objects in highest weight categories associated to simple complex Lie algebras and symmetrizable Kac-Moody algebras. For a field of positive characteristic, they encode the structure of $G_{1T}$ modules for a reductive algebraic group $G$ with maximal torus $T$. This result places moment graphs in the center of new approaches to understand the simple characters of modular algebraic groups in cases where Lusztig's character formula fails.

The lecture series is meant to outline the main ideas and results in this particular field of representation theory. It might begin with the modular case, providing the main steps for the translation of the character problem into a moment graph problem. On the way, the audience is welcome to suggest detours or a change of destination!

Schedule
February 20, h. 14:30, Room 2AB40
February 22, h. 14:30, Room 2AB40
February 27, h. 14:30, Room 2BC30
March 2, h. 14:30, Room 2BC30
March 8, h. 14:30, Room 2BC30
March 16, h. 14:30, Room 2BC30

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