Number Theory

Title: A new p-adic Maass-Shimura operator and supersingular Rankin-Selberg p-adic L-functions
Speaker: Daniel Kriz
Speaker Info: Princeton University
Brief Description:
Special Note:

We introduce a new p-adic Maass-Shimura operator acting on a space of "generalized p-adic modular forms" (extending Katz's notion of p-adic modular forms) defined on the p-adic (preperfectoid) universal cover of Shimura curves. Using this operator, we construct new p-adic L-functions in the style of Katz, Bertolini-Darmon-Prasanna and Liu-Zhang-Zhang for Rankin-Selberg families over imaginary quadratic fields K in the case where p is inert or ramified in K. We also establish new p-adic Waldspurger formulas, relating p-adic logarithms of elliptic units and Heegner points to special values of these p-adic L-functions.
Date: Monday, February 19, 2018
Time: 4:00PM
Where: Lunt 107
Contact Person: Yifeng Liu
Contact email: liuyf@math.northwestern.edu
Contact Phone:
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