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| Format: This is mostly a learning seminar, with occasional invited talks. During the fall of 2011 we will be studying the theta correspondence and its applications to automorphic forms. |
| Thursday 2 February, 1:00-2:20pm |
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| Thursday 9 February, 10:00-11:20am |
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| Thursday 16 February, 1:00-2:20pm |
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| Thursday 23 February, 1:00-2:20pm |
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| Wednesday 28 September, 4:00-5:15pm |
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| Wednesday 5 October, 2:30-3:45pm |
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| Wednesday 2 November, 3:45-5:00pm |
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| Wednesday 30 November, 10:00-11:20am |
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| Wednesday 7 December, 10:00-11:20am |
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| Last Year's seminar |
| Back to the Department of Mathematics & Computer Science. |
Feb. 2 and 9
Title: A result of Gan-Gomez on the unitary spectrum of some spherical varieties.
Speaker: Yiannis Sakellaridis
Abstract:
A conjecture of Venkatesh and myself states that for a spherical variety X over a local field the space L^2(X) should have a Plancherel decomposition in terms of certain "X-distinguished" Arthur parameters.
I will present a recent paper of Wee Teck Gan and Raul Gomez, where they use the theta correspondence to prove this conjecture for most varieties of rank one.
Feb. 16 and 23
Title: Introduction to the conjectures of Stark.
Speaker: Robert Sczech
Abstract:
A fundamental problem of algebraic
number theory is the problem of constructing
all abelian extensions of a given algebraic
number field. That problem was solved by
Kronecker ("Jugendtraum") in the special case
of the rational number field and the case of
an imaginary quadratic field. The conjectures
of Stark (from the 1970's) represent a partial
answer to that problem for an infinite class
of base fields.
In my talk I will report on the most accessible
cases of that conjecture starting with the case
of the rational number field. The talk will be
elementary and therefore accessible to
interested graduate students.