Nilpotent Orbits and Representation Theory

Odd vanishing properties arising from nilpotent orbit attached to Zm-graded Lie algebras

speaker: George Lusztig (Massachusetts Institute of Technology)

abstract: The variety of nilpotent elements in a graded component of a Z/m-graded simple Lie algebra is a union of finitely many orbits for the action of a certain reductive group. One can consider the intersection cohomology complex of the closure of such an orbit with coefficients in certain local systems. In the talk I will discus a method to study the structure of cohomology sheaves of such a complex and in particular its odd vanishing property. This talk is based on a joint work with Zhiwei Yun.

timetable:
Mon 13 Jun, 9:30 - 10:45, Aula Bianchi Scienze
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