Past Events
This talk focuses on applications of real Seiberg-Witten theory to knotted surfaces in S^4. It is divided into two parts. In the first, we discuss how to construct exotic unknotted RP^2s. In the second, we discuss current work in progress relating the real Bauer-Furuta invariant to cobordism…
We develop an equivariant index theorem for a twisted Dirac operator on a compact globally hyperbolic spacetime with spacelike boundary on which a group acts isometrically, subject to the Atiyah-Patodi-Singer boundary condition. Our analysis shows that the geometric formula is the same as in the…
I will describe a new constraint on the topology of smooth Lefschetz fibrations with 4-dimensional fibers, arising from Seiberg--Witten theory. I will explain how it yields smooth isotopy obstructions for products of Dehn twists on self-intersection -2 spheres in 4-manifolds. As an application,…
In this talk, we consider the asymmetric simple exclusion process with open boundaries (open ASEP). We give an overview on recent results on mixing times for the open ASEP. In particular, we discuss mixing times for the open ASEP at the triple point.
This talk is based on joint work with…
We will introduce the half-volume spectrum, a new variational invariant inspired by the classical volume spectrum, but defined by considering only hypersurfaces that divide the ambient manifold into equal volumes. We will present a new min-max theory for constant mean curvature (CMC)…
For smooth manifolds, the Gysin map of a closed immersion is defined as the cohomology applied on the Pontryagin–Thom collapse map, which collapses the ambient manifold to the one-point compactification of the tubular neighborhood of the closed submanifold. In this talk, I will present a version…
In this talk I will sketch some details of Lagrangian torus fibrations, including the Arnold-Liouville theorem, integral affine geometry, and the characteristic class of a fibration. Then I will talk a little about singularities of fibrations and give examples of Lagrangian torus fibrations for…
We will continue our study of localization schemes and related topics.
This is the inaugural R.L. Cohen Distinguished Lecture.
In the 1960s Wall initiated a program to classify smooth (n-1)-connected 2n-manifolds up to diffeomorphism. After half a century of work by many mathematicians this program is now complete for n=/=2. In this talk I will give an…