Representation theory studies abstract groups of symmetries by representing them as concrete symmetries of the simplest geometric objects, linear spaces. Since Dirichlet’s theorem on primes in arithmetic progressions it is known that there is a deep connection between number theory and representation theory. L-functions and Dirichlet series are in the central place in both representation theory and number theory. P-adic groups also play a prominent role in number theory. This course will introduce students to some of the current trends in the overlap of representation theory and number theory.  

Speakers & titles:

• Dipendra Prasad
  p-adic groups, symmetric spaces and their representation theory

• Gautam Chinta
  Multiple Dirichlet series and number theory

• Alexei Entin
  L-functions and random matrix theory

> See abstracts

Venue:

The course will take place at the Department of Mathematical Sciences, University of Copenhagen. See detailed instructions on how to reach Copenhagen and the conference venue.

Schedule:

Prerequisites:

The masterclass consists of 3 graduate level mini-courses. Each of the mini-courses should be accessible to a first year PhD student or a second year master student in pure math. Courses in analytic number theory and advanced algebra are recommended but not a prerequisite.

Financial support:

Graduate students and other early career researchers can apply for financial support to partly cover local expenses. If you wish to apply for support, please indicate this on the registration form. The support should be roughly DKK 500 per day, at most DKK 2500 in total. Limited additional funds to support travel for US participants are available. 

Organised by Alex Kemarsky & Henrik Schlichtkrull.