Speaker: Jens Marklof
Affiliation: University of Bristol
Title: Random lattices and their applications in number theory, geometry and statistical mechanics
Date and Time: February 22, 2023, 16:00:00 Hours
Venue: AG-69
Asbtract: 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.
Affiliation: University of Bristol
Title: Random lattices and their applications in number theory, geometry and statistical mechanics
Date and Time: February 22, 2023, 16:00:00 Hours
Venue: AG-69
Asbtract: 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.