2:00 pm Wednesday, August 20, 2014
Algebra, Number Theory, and Combinatorics: Special L-values, periods and functoriality by
Kimball Martin (University of Oklahoma) in RLM 12.166
In the 1980s, Waldspurger proved two spectacular formulas for central values of twisted L-functions attached to modular forms, one in terms of Fourier coefficients of half-integral weight modular forms, and one in terms of sums over Heegner points (or more generally compact toric periods). Both of these formulas have many applications, and can be viewed as statements about the transfer of periods under specific instances of Langlands functoriality. I will discuss some efforts to generalize Waldspurger's results to higher rank automorphic forms (e.g., Gross-Prasad conjectures), and some recent progress. Submitted by
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