# Jerusalem Mathematics Colloquium

Thursday, 15th April 2010, 4:00 pm

Mathematics Building, Lecture Hall 2

##

Laurent Clozel

(Universite Paris-Sud)

"Extensions of Q with minimal ramification and self-dual automorphic
forms"

** Abstract: **

Very little is known about one basic object of number theory, the
absolute Galois group G = Gal(Qbar/Q). In particular, if p is a prime, there is
an analogous local Galois group. Does it imbed in G? (Yes.) Does it embed in
GS where GS is like G, but we impose some ramification conditions (which
will be explained)? The answer, as Chenevier and I proved recently, is yes.
It is difficult to explain the proof, but I will try to show the geometric
analogues.

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

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