School of Mathematics Seminars and Lectures

Random lattices and their applications in number theory, geometry and statistical mechanics (1/3)

by Prof. Jens Marklof (University of Bristol)

Wednesday, February 22, 2023 from to (Asia/Kolkata)
at AG-69
Description
Abstract: Lattices are fundamental objects in physics, mathematics and computer science. Starting from a cubic lattice, say, we can perturb the structure by linear transformations (shearing, stretching, rotating) to obtain new lattices. In this series of lectures, I will discuss the resulting "space of lattices", the dynamics of group actions on this space, natural probability measures, as well as some powerful applications to long-standing problems in various areas of mathematics and mathematical physics.
Material: