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University of Cambridge > Talks.cam > Junior Algebra/Logic/Number Theory seminar > How loud is an arithmetic drum?

## How loud is an arithmetic drum?Add to your list(s) Download to your calendar using vCal - Radu Toma, University of Bonn
- Friday 04 February 2022, 15:00-16:00
- Zoom.
If you have a question about this talk, please contact Tom Adams. A modular form can be viewed as a wave function on an arithmetic surface. The theory of quantum chaos asks how these waves distribute as their energy grows. One approach is the so-called sup-norm problem, where one looks for bounds on the size of automorphic forms as certain parameters grow, such as the weight or eigenvalue, and the level. This talk will be a gentle introduction to this rich problem, touching on spectral theory, the amplification method, algebraic number theory, and applications to L-functions. This talk is part of the Junior Algebra/Logic/Number Theory seminar series. ## This talk is included in these lists:- All CMS events
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