Title: Towards a (3+1)-dimensional TQFT from TMFAbstract: I will discuss work in progress, joint with Sergei Gukov, Lennart Meier, and Du Pei, concerning a construction of a 4-manifold invariant using the theory of topological modular forms, and TQFT properties of this invariant. This is a mathematical construction related to a particular instance of the Gukov-Pei-Putrov-Vafa […]
Title: On the strong Sarkisov Program.Abstract: In this talk, I will explain some results about factorizing a birational map between Mori fibre spaces into Sarkisov links, such that the invariants of Sarkisov will decrease. I will explain that such problem is closely related to the termination of certain log flips in lower dimension.
Title: On the vanishing of Selmer groups for odd orthogonal Galois representations Abstract: Let $pi$ be a cuspidal automorphic representation of $Sp_2n$ over $mathbb{Q}$ which is holomorphic discrete series at infinity, and $chi$ a Dirichlet character. Then one can attach to $pi$ an orthogonal $p$-adic Galois representation $rho$ of dimension $2n+1$. Assume $rho$ is irreducible, […]
Title: Introduction to the relative Langlands program, with open problems, I.Abstract: This will be the first of a few talks introducing the "relative" Langlands program, with a view towards open problems, both concrete and speculative.