Emanuel Kowalksi

ETH Zurich
Title:Sieve Methods and Some Recent Applications
Abstract:Sieve methods have been used for more than a century to extract information about the distribution of prime numbers. There are now many variants available, and recent years have seen striking successes and developments of sieve principles, sometimes in surprising areas. The lectures will give a survey of some of the techniques and results, emphasizing the recent and more surprising applications (for instance, sieving in the context of discrete groups, the work of Holowinsky and Soundararajan on Arithmetic Quantum Unique Ergodicity, and that of Goldston, Pintz and Yildirim on gaps between primes)