Abstract: This is a continuation of the previous talk about skein lasagna modules. We review some features of the Khovanov homology and its Lee deformation. We examine the resulting skein lasagna modules with these two theories as inputs, extract a lasagna version of Rasmussen’s s-invariant, and state some formal properties. We then show that Khovanov/Lee skein lasagna modules and lasagna … Read More

Abstract: Skein lasagna modules are invariants of smooth 4-dimensional manifolds capable of detecting exotic phenomena. Wall-type stabilization problems ask about the behavior of exotic phenomena under various topological operations. In this talk, we will describe the invariants we use and the necessary properties. We describe, with Wall-type external stabilization problems as motivation, a method for computing the Khovanov skein lasagna module of $S^2 … Read More

Abstract: In 2017, Braverman-Finkelberg-Nakajima gave a precise definition of the Coulomb branch of a 3d N = 4 supersymmetric gauge theory of cotangent type associated to a complex reductive group G and a finite dimensional complex representation N. In our first part of this talk, we will recall the definition and basic properties of such Coulomb branches, as well as … Read More