2007-02-09

Eliot Brenner, Ben Gurion University

Heat Eisenstein Series and Applications

I will define the heat Eisenstein series and sketch some of their theory, as developed by Jorgenson and Lang in the 90s and early 00s. Then, I will describe their role in an ongoing project to generalize theta relations and spectral zeta functions to arithmetic quotients of real Lie groups in higher rank. Finally, I will state some of my results on exact fundamental domains and explain how they are used or are expected to be used in this program. Parts of this project are joint work with Jay Jorgenson, Andy Sinton, Florin Spinu, and Gautam Chinta.