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:
p-adic groups, symmetric spaces and their representation theory
Multiple Dirichlet series and number theory
L-functions and random matrix theory
|15:45-16:15||Coffee and Cake|
|14:45-15:15||Coffee and Cake|
|18:30||Dinner at Bindia|
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.
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.
> Download course poster (pdf 3Mb)