Institut de recherche mathématique avancée

Résumé : The FKPP equation is a common model in population dynamics, describing how a population spreads and grows over time and space, resulting in wave-like patterns. Recent studies by Birzu, Hallatschek and Korolev on the noisy FKPP equation with Allee effects (or cooperation) suggest the existence of three classes of fluctuating wavefronts: pulled, semipushed and fully pushed fronts. In this talk, I will introduce an analytically tractable model for fluctuating fronts, describing the internal mechanisms that drive the invasion of a habitat by a cooperating population. I will then use this model to explain how such mechanisms shape the genealogy of the population.

Résumé : Résumé : We will use Representation Theory to calculate systematically and efficiently the topological invariants of compact Lie groups and homogeneous spaces. Most of the talk is covered by our second paper on ArXiv with John Jones and Adam Thomas, who are both at Warwick. The paper is a part of the ongoing project to study the topological invariants of the four exceptional Rosenfeld projective planes.

Résumé : Classical Fourier theory describes measures on a locally compact abelian group in terms of functions on its Pontryagin dual. In this talk, I will explain an analogous theory for (families of) p-divisible rigid analytic groups and their duals that recovers the Amice transform when applied to the open unit disk considered as multiplicative group. This is joint work with Andrew Graham and Sean Howe.