WorkshopsOn the order of vanishing of automorphic L-functions for GL(2) over global fields at the center of functional equation
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This talk is based on a joint work with Masataka Chida. We study the order of vanishing of automorphic L-functions for GL(2) over global fields from several viewpoints. We propose several different methods (using many quadratic twists, known cases of the BSD conjecture, geometry of Shimura curves and the global Langlands conjecture for GL(2) over function fields (proved by Drinfeld), etc.) to construct automorphic representations of GL(2) over global fields whose L-functions have large order of vanishing at the center of functional equation.
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Tetsushi Ito
2010-07-13
14:00:00 - 15:20:00
101 , Mathematics Research Center Building (ori. New Math. Bldg.)
This talk is based on a joint work with Masataka Chida. We study the order of vanishing of automorphic L-functions for GL(2) over global fields from several viewpoints. We propose several different methods (using many quadratic twists, known cases of the BSD conjecture, geometry of Shimura curves and the global Langlands conjecture for GL(2) over function fields (proved by Drinfeld), etc.) to construct automorphic representations of GL(2) over global fields whose L-functions have large order of vanishing at the center of functional equation.