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On Epstein's zeta function and related results in the geometry of numbers

Introductory Workshop: Analytic Number Theory February 06, 2017 - February 10, 2017

February 09, 2017 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Anders Sodergren (Chalmers University of Technology)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • Epstein zeta function

  • random lattice

  • geometry of numbers

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
Abstract

In this talk I will discuss certain questions concerning the asymptotic behavior of the Epstein zeta function E_n(L,s) in the limit of large dimension n. In particular I will describe the value distribution of E_n(L,s) for a random lattice L of large dimension n, giving partial answers to questions raised by Sarnak and Strömbergsson in their study of the minima of E_n(L,s). Many of the key ingredients in our discussion will come from the rich interplay between the value distribution of the Epstein zeta function and classical problems in the geometry of numbers

Supplements
27975?type=thumb Sodergren Notes 578 KB application/pdf Download
Video/Audio Files

On Epstein's Zeta Function And Related Results In The Geometry Of Numbers

H.264 Video 13-Sodergren.mp4 145 MB video/mp4 rtsp://videos.msri.org/data/000/027/844/original/13-Sodergren.mp4 Download
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