Department of Mathematics

Topics in Automorphic Forms: Theta Correspondence

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Professor Prof. Dr. Paul D. Nelson
Lectures Thu 08-10,  HG G 26.1
Coordinator Subhajit Jana Exercise classes
Thu 16-17,  ML F 38

First lecture: 25/02/2016.

First exercise class: 03/03/2016.

Course Description

The theory of theta correspondence or Howe correspondence gives one of the few general methods of constructing automorphic forms of groups over number fields, or admissible representations of groups over local fields. The method has its origin in the classical construction of theta functions which are modular forms–perhaps of half integral weight on the upper half plane. The goal of the course is to obtain a familiarity with the basic ideas of theta correspondence, and their applications.

A tentative outline of the course will be as follows:

Exercises and Solutions

Exercises and solutions will be provided through the Taskbase. Please report any mistakes that you spot in the exercises / solutions.


For general (local) theta correspondence

For applications (classically written papers)


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© 2016 Mathematics Department | Imprint | Disclaimer | 17 February 2016