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Abstract: Topological solitons are smooth, localized, finite-energy solutions of nonlinear PDEs arising in field theory. They are topologically stable in the sense that they cannot be continuously deformed into a constant solution without requiring infinite energy, and are characterized by […]

Abstract: Given an algebraic group G defined over an algebraically closed field, we may define the notion of a Harish-Chandra bimodule. This is a bimodule for the universal enveloping algebra of the Lie algebra of G with a compatible action […]

The logician is familiar with the idea that filters are generalised points. Topos theorists push this idea further by asking: what is a generalised space? This talk will focus on one such answer: LT-Topologies ("Lawvere-Tierney Topologies"). In the 1980s, Hyland […]

I will introduce a remarkable quartic Hamiltonian in bosonic creation and annihilation operators that displays an exactly integer spectrum and discuss the extent to which we understand its quantum integrable structure. The classical limit of the model was studied and […]

Abstract: TBA.

A fundamental observable of black holes is their quasinormal mode (QNM) spectrum: the characteristic frequencies and decay rates of linear perturbations. In gravitational wave astronomy, QNMs can be measured during the ringdown phase of a black hole merger to infer […]

Do Carmo's problem asks whether every complete, noncompact, stable constant mean curvature (CMC) hypersurface in Euclidean space must be minimal. I will first review some classical and recent progress on this question, with particular emphasis on dimension-free rigidity phenomena and […]

Poisson-Voronoi percolation can be defined on any metric space $(M,d)$ with an infinite Radon measure $\mu$ as follows. For $\lambda>0$, consider a Poisson point process of intensity $\lambda\mu$ and associate to each point of the process its Voronoi cell, that […]

TBA