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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