The orbit method, microlocal analysis and applications to L-functions


Event details

Date 06.02.2023 14:0015:00  
Speaker Paul Nelson, Aarhus University
Location Online
Category Conferences - Seminars
Event Language English
Seminar in Mathematics
L-functions are generalizations of the Riemann zeta function.  Their analytic properties control the asymptotic behavior of prime numbers in various refined senses. Conjecturally, every L-function is a "standard L-function" arising from an automorphic form. A problem of recurring interest, with widespread applications, has been to establish nontrivial bounds for L-functions. I will survey some recent results addressing this problem. The proofs involve the analysis of integrals of automorphic forms, approached through the lens of representation theory. I will emphasize the role played by the orbit method, developed in a quantitative form along the lines of microlocal analysis.

Practical information

  • Informed public
  • Free
  • This event is internal


  • Institute of Mathematics


  • Prof. Maryna Viazovska, Director

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