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Subconvex equidistribution of cusp forms

Recent developments in Analytic Number Theory May 01, 2017 - May 05, 2017

May 01, 2017 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Paul Nelson (ETH Z├╝rich)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Abstract

Arithmetic quantum chaos concerns the limiting behavior of a sequence of automorphic forms with parameters tending off to infinity. It is now known in many cases that the mass distributions of such forms equidistribute. Unfortunately, the known rates of equidistribution are typically weak (ineffective or logarithmic). I will discuss the problem of obtaining strong rates (power savings) and the related subconvexity problem, emphasizing recent progress concerning the level aspect on hyperbolic surfaces.

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28391?type=thumb Nelson.Notes 641 KB application/pdf Download
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Nelson

H.264 Video 3-Nelson.mp4 522 MB video/mp4 rtsp://videos.msri.org/data/000/028/291/original/3-Nelson.mp4 Download
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