Abstract

The conference will feature a series of ten lectures by Professor Kannan Soundararajan from Stanford University who is well known for his prolific and influential research in this area, and also for his skill as a lecturer and expositor. Number theory is an old and very active branch of mathematics, and the theory of L-functions has played a central role in its modern development. The tools used to study L-functions draw from many fields including analysis, algebra, algebraic geometry, automorphic forms and representation theory, probability and random matrices, and even mathematical physics. The broad theme for the conference will be the value distribution of zeta and L-functions. The lecture series will touch upon several important questions including the maximal size of L-functions, asymptotics for moments of L-values, the distribution of zeros, and non-vanishing of L-functions at special points.