Dear all,

The next talk is by Alexandru Pascadi of the University of Oxford. The announcement is as follows.

**Talk Announcement:**

**Title:**The dispersion method and beyond: from primes to exceptional Maass forms

**Speaker:**Alexandru Pascadi (Mathematical Institute, University of Oxford)

**When:**April 4, 2024, 4:00 PM- 5:00 PM IST (11:30 AM BST)

**Where**: Zoom: Write to the organisers for the link

**Abstract:**

The dispersion method has found an impressive number of applications in analytic number theory, from bounded gaps between primes to the greatest prime factors of quadratic polynomials. The method requires bounding certain exponential sums, using deep inputs from algebraic geometry, the spectral theory of GL2 automorphic forms, and GLn automorphic L-functions. We'll give a broad outline of this process, which combines various types of number theory; time permitting, we'll also discuss the key ideas behind some new results.