# Mathematical Sciences Research Institute

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# Seminar

Joint Seminar: On the character of certain modular irreducible representations October 28, 2014 (03:30 PM PDT - 04:30 PM PDT)
Parent Program: -- MSRI: Simons Auditorium
Speaker(s) George Lusztig
Description No Description
Video
Abstract/Media

Let G be an almost simple, simply connected algebraic group over an algebraically closed field of characteristic p>1. The irreducible rational representations of are indexed by dominant weights (Chevalley). In 1979 I stated a conjectural formula (now a theorem) for the character of these representations (for large enough p) assuming that the corresponding dominant weight is not too large; for the remaining dominant weights one had to use the Steinberg tensor product theorem. In the talk I will present a formula which applies directly to any dominant weight.