Seminars without (*) are in the Maths Seminars archive; the others are hosted on external websites or have no web presence.
Mathematicians have long been interested in the question of which problems can be automated, that is, which mathematical tasks can be solved using a computer. Famously, in 1900 Hilbert put forward the challenge of finding an algorithm which for any […]
Abstract: 36 years ago, P. Martin defined $M_m$ as an $m$-quotient of the Hecke algebra, where $1<m$ is an integer. $M_2$ being the Known Temperley-Lieb algebra. On the way towards understanding the structure of $M_m$, we find ourselves in the […]
In this talk, I will introduce spherical horoconvexity, a new notion of convexity inspired by its hyperbolic counterpart. The focus will be on its definition and geometric meaning, with geodesic spheres tangent to the equator playing the role of horospheres. […]
The Zilber-Pink conjecture is an important conjecture in Diophantine geometry, motivated in part by Zilber’s work on the model theory of complex exponentiation. In this talk, I will outline how the model theory of differential fields can be used to […]
Notes: unusual time.
The SARS-CoV-2 pandemic highlighted that healthcare-associated transmission remains a major challenge to the safety of patients and healthcare workers (HCWs). This work integrates community and secondary-care data to investigate transmission dynamics and interactions among the general community, HCWs, and hospital […]
In last passage percolation, we independently put weights on the vertices of the square lattice according to some probability distribution. We then study the up-right paths between points on the lattice that collect as much weight as possible. A phenomenon […]
De Fenetti’s Theorem states that all N-indexed exchangeable sequences of real-valued random variables are mixings of i.i.d sequences. For real-valued random processes with exchangeable increments on [0, 1], Kallenberg’s 1973 result provides a complete characterisation of these processes via another […]
Automorphic Lie algebras are infinite-dimensional Lie algebras of meromorphic maps (usually with prescribed poles) from a Riemann surface $X$ into a finite-dimensional Lie algebra $\mathfrak{g}$, equivariant with respect to a group acting by automorphisms on both $X$ and $\mathfrak{g}$. They […]
Abstract: TBA.
Z/2 harmonic 1-forms are generalizations of harmonic 1-forms that allow topological twisting around a subspace of codimension 2. These objects were introduced by Taubes to compactify the moduli spaces of solutions to generalized Seiberg-Witten equations, and they show up in […]
TBA