Logo

Mathematical Sciences Research Institute

Home » Workshop » Schedules » The orbit method and analysis of automorphic forms

The orbit method and analysis of automorphic forms

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

May 04, 2017 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Akshay Venkatesh (Stanford University)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Abstract

In the analytic theory of automorphic forms, especially in higher rank, one encounters complicated integrals over Lie groups which must be either evaluated or estimated. I will discuss how Kirillov's orbit method allows one to do this, at least heuristically. These ideas can often be made rigorous; I will apply it to evaluate the average value of L-functions over certain (Gross-Prasad) families, in any rank. This evaluation also uses Ratner's theorem on measure rigidity. Joint work with Paul Nelson.

Supplements
28400?type=thumb Venkatesh Notes 2.08 MB application/pdf Download
Video/Audio Files

Venkatesh

H.264 Video 12-Venkatesh.mp4 199 MB video/mp4 rtsp://videos.msri.org/data/000/028/326/original/12-Venkatesh.mp4 Download
Buy the DVD

If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included). Please Click Here to send an email to MSRI to purchase the DVD.

See more of our Streaming videos on our main VMath - Streaming Video page.