Jerusalem Mathematics Colloquium

Thursday, 1st December 2005, 4:00 pm
Mathematics Building, Lecture Hall 2

Nadya Gurevich
(Ben Gurion University)

"Multiplicities of Cuspidal Representations"

Abstract: For any abstract representation p of an adelic group G it is an important problem to compute multiplicity m(p) at which it occurs in the cuspidal spectrum. It was known for a long time that if G=GL_n then m(p)<= 1 for any p. Recently it was also proved for G=SL_2. This is no longer true when G is an inner form of SL_2 or G=SL_n, n >= 3. We will explain these results and expectations for other groups using a conjectured Arthur's multiplicity formula.

Light refreshments will be served in the faculty lounge at 3:30.

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