Title: Bulk-edge correspondence and an alternative proof of Bott periodicity theorem via Quot schemesAbstract: The study of topological matter is one example of the application of algebraic topology in physics. […]
Title: Decategorified Heegaard Floer theory and actions of both E and FAbstract: I will outline a relative of decategorified bordered sutured Heegaard Floer homology in which the vector spaces assigned […]
Title: Highly Connected 7-manifolds, Non-negative Curvature and the Linking FormAbstract: Closed manifolds admitting non-negative sectional curvature are not very well understood and it is, at present, quite difficult to obtain […]
Title: Coherence for pseudo symmetric multifunctors and applications to $K$-theoryAbstract: Multicategories where introduced by Elmendorf and Mandell in homotopy theory as an alternative way to encode multiplicative structures in the […]
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 […]
Title: THH(Z) and the image of JAbstract: I will try to overview some ideas from chromatic homotopy theory, including the "redshift" and "blueshift" phenomena therein, and then describe a result, […]
Title: The Drinfeld and Quillen formal groupsAbstract: The Cartier–Witt stack, introduced recently by Drinfeld and Bhatt–Lurie, is a geometric object whose quasicoherent sheaves provide a natural target category for prismatic […]
Title: Exodromy beyond conicality Abstract: Let (X, P) be a stratified space. The most general version of the exodromy equivalence between constructible sheaves on (X, P) and functors out of the […]
Title: K-Theory of Adic SpacesAbstract: We will explain a new approach to the K-theory of analytic adic spaces via condensed mathematics. Its main advantage is that it allows us to […]
Title: Stone duality between condensed mathematics and algebraic geometry Abstract: One classical incarnation of Stone duality is an anti-equivalence between the categories of profinite sets and Boolean algebras respectively. In […]
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Title: TBA