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Seminar
The dispersion method and beyond: from primes to exceptional Maass forms
Speaker
Alexandru Pascadi (Oxford)
Date
Wed, Sep 25 2024, 1:00pm
Location
383N

The dispersion method has found an impressive range of applications in analytic number theory, from bounded gaps between primes to the greatest prime factors of quadratic polynomials. The method requires bounding certain sums of Kloosterman sums, using deep inputs from algebraic geometry and the spectral theory of GL2 automorphic forms. We'll give a broad outline of this process and discuss some of the key ideas in our work at arxiv.org/abs/2404.04239.