MATH Seminar

Title: Relative trace formulae with applications to arithmetic, geometry, and spectral theory
Colloquium: Number Theory
Speaker: Heekyoung Hahn of Duke University
Contact: David Borthwick, davidb@mathcs.emory.edu
Date: 2015-01-26 at 4:00PM
Venue: MSC W303
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Abstract: Relative trace formulae are arguably the most versatile and general tools available in the modern theory of automorphic forms. Starting with the oldest unsolved problem in mathematics and moving to Millennium prize problems we will explain concrete applications and motivation for relative trace formulae in low-dimensional cases. We will then explain our work on extending the relative trace formula to its natural level of generality with a view towards specific problems in arithmetic, geometry, and spectral theory.