Number Theory Seminar

Date: April 1, 2015

Time: 1:45PM - 2:45PM

Location: BLOC 220

Speaker: Yueke Hu, University of Wisconsin

Title: Local triple product integral and applications to subconvexity bound and mass equidistribution

Abstract: The triple product formula relates a global period integral with the special value of triple product L-function and local integrals at ramified places. Before my work, not much was known for the local integrals with ramifications. But they are important for many applications. I will talk about my work on explicit computation or upper bound of the local integrals for very general ramifications. Such results can be applied to prove the subconvexity bound of triple product L-function in level aspect, and mass equidistribution on modular curve of level N.

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