Representation theory, L-functions and number theory – University of Copenhagen

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Representation theory, L-functions and number theory

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

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:

Monday Tuesday Wednesday Thursday Friday
10 Prasad Entin Prasad Entin Chinta
11 Prasad Entin Prasad Entin Chinta
14 Entin Prasad Chinta Prasad
15 Entin Prasad Chinta Chinta
16 Chinta

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.

Registration:

Registration online - before 10 July 2017.
A list of participants will be published here eventually.

Accommodation and public transportation:

We kindly ask the participants to arrange their own accommodation. We recommend Hotel 9 Små Hjem, which is pleasant and inexpensive and offers rooms with a kitchen. Other inexpensive alternatives are  CabInn, which has several locations in Copenhagen: the Hotel City (close to Tivoli), Hotel Scandivania (Frederiksberg, close to the lakes), and Hotel Express (Frederiksberg) are the most convenient locations; the latter two are 2.5-3 km from the math department. Somewhat more expensive – and still recommended – options are Hotel Nora and  Ibsen's Hotel.

An additional option is to combine a stay at the CabInn Metro Hotel with a pass for Copenhagen (efficient and reliable) public transportation (e.g. FlexCard 7 days with 2 zones, CityPass 24 or 72 hours). 

Tickets and passes for public transportation can be bought at the Copenhagen Airport and every train or metro station. You can find the DSB office on your right hand side as soon as you come out of the arrival area of the airport. DSB has an agreement with 7-Eleven, so many of their shops double as selling points for public transportation. A journey planner in english is available. More information on the "find us" webpage.


Organised by Alex Kemarsky & Henrik Schlichtkrull.