Professor Ken Ono (University of Wisconsin-Madison)

will speak on

Heegner divisors, L-functions and Maass forms

Time: 4:00PM
Date: Wed 3rd October 2007
Location: Mathematical Sciences Seminar Room [map]

Abstract: In joint work with Bruinier, we extend work of Waldspurger,
Kohnen and Zagier on the values of quadratic twists of modular L-functions.
We show that harmonic Maass forms are generating functions for both
the values and derivatives of quadratic twists of weight 2 newforms.
This work depends on the interplay between Maass-Heegner divisors on
Jacobians of modular curves, and Maass forms. In short we obtain a
Gross-Kohnen-Zagier theorem for Maass forms.

(This talk is part of the K-Theory, Quadratic Forms and Number Theory series.)

PDF notice

Return to all seminars