Special values of automorphic L-functions for GL(2n)

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Event details

Date 09.05.2011
Hour 14:00
Speaker Anantharam Raghuram
Location
AAC006
Category Conferences - Seminars
I will begin my talk with Shimura's theorem on the critical values of the standard L-function attached to a holomorphic Hilbert modular form. Then I will recast the theorem into a more representation-theoretic context by talking about the critical values of L-functions attached to cohomological cuspidal automorphic representations for GL(2) over a totally real number field F. The second part of my talk will be about my recent joint work with Harald Grobner concerning the critical values of L-functions attached to cohomological cuspidal automorphic representations of GL(2n) over F which admit Shalika models. Putting n=1 retrieves Shimura's theorem. These results provide a new theorem/proof for the critical values of the third symmetric power L-function of a Hilbert modular form.

Practical information

  • General public
  • Free

Contact

  • Isabelle Derivaz-Rabii

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