Automorphic kernel functions

November 30 to December 4, 2015

at the

American Institute of Mathematics, San Jose, California

organized by

Jayce Getz, Dihua Jiang, and Lei Zhang

Original Announcement

This workshop will focus on the study of automorphic kernel functions. Automorphic kernel functions are used in various versions of trace formula in order to produce:
  1. The existence of automorphic forms with certain properties
  2. Functorial transfers in the sense of Langlands
  3. Special value formulas for L-functions and formulas for periods
Specially designed automorphic kernel functions can be used to produce explicit constructions of certain types of Langlands functorial transfers and to obtain other applications.

The goal of this workshop is to bring together experts whose research involves automorphic kernel functions so that the interrelation between the approaches described above can be better understood. We hope that this exchange of expertise will also lead to new approaches that will lead to an eventual resolution of the Langlands functoriality conjectures. The workshop will focus on the following three topics:

  1. Various types of trace formulas and their use in proving existence of certain Langlands functorial transfers;
  2. Explicit constructions of certain Langlands functorial transfers via integral transformations;
  3. Generalized Fourier transformations and Poisson summation formulas.

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

A list of open problems.

Papers arising from the workshop:

Local Factors, Reciprocity and Vinberg Monoids
by  Freydoon Shahidi