Number Theory Seminar: p-adic differential operators on automorphic forms and applications

  • Date: 03/04/2010
Ellen Eischen (Northwestern University)

University of British Columbia


At certain special points, the values of the Riemann zeta function and many other L-functions are algebraic, up to a well-determined transcendental factor. G. Shimura, H. Maass, and M. Harris extensively studied a class of differential operators on automorphic forms; these differential operators play an important role in proofs of algebraicity properties of many $L$-functions.

Building on work of N. Katz, we introduce a p-adic analogue of these differential operators, which should be similarly significant in the study of many p-adic L-functions, in particular p-adic L-functions attached to families of p-adic automorphic forms on unitary groups.


4:10 - 5:00pm, WMAX 110.