## Tristan Leger : Global existence, scattering, and propagation of moments for inhomogeneous kinetic equations.

- Applied Math and Analysis ( 0 Views )The field of derivation of kinetic equations has seen many impressive advances recently. Yet the well-posedness and dynamics of these equations remain poorly understood. In this talk I will address such questions, and present a method to prove global existence, scattering and propagation of moments for inhomogeneous kinetic equations. It uses dispersive estimates for free transport, combined with kinetic theory techniques to deal with the specific difficulties brought by the structure of the equation under consideration (e.g. its cross section, the degree of the nonlinearity). I will discuss its concrete implementation for the kinetic wave and Boltzmann equations. This is based on joint work with Ioakeim Ampatzoglou.

## Thomas Weighill : Optimal transport methods for visualizing redistricting plans

- Applied Math and Analysis ( 0 Views )Ensembles of redistricting plans can be challenging to analyze and visualize because every plan is an unordered set of shapes, and therefore non-Euclidean in at least two ways. I will describe two methods designed to address this challenge: barycenters for partitioned datasets, and a novel dimension reduction technique based on Gromov-Wasserstein distance. I will cover some of the theory behind these methods and show how they can help us untangle redistricting ensembles to find underlying trends. This is joint work with Ranthony A. Clark and Tom Needham.