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# George Lusztig (MIT), Geometric Methods in Representation Theory

## October 14, 2016 @ 4:00 pm - 5:00 pm

**Title:**Z/m graded Lie algebras and intersection cohomology

**Abstract:** Let g be a semisimple Lie algebra with a given grading (g_i) where i runs over Z/m, a finite cyclic group. The variety of nilpotent elements in g_i (for fixed i) decomposes in finitely many orbits under the action of a certain algebraic group. The aim of the talk is the study of the intersection cohomology of the closure of any one of these orbits with coefficients in certain local systems. This is a joint work with Zhiwei Yun.