Microlocalization on derived moduli spaces

Abstract: The classical formalism of microlocal sheaf theory à la Kashiwara-Schapira is very useful in the study of manifolds. I will describe a generalization to the context of derived algebraic geometry, which is useful in the study of derived moduli spaces. For example, I will discuss how it gives a new perspective on topics like the virtual fundamental class, categorified Donaldson-Thomas theory, and the critical or 3d cohomological Hall algebras of Kontsevich-Soibelman. Based on forthcoming joint work with Tasuki Kinjo.

algebraic geometryrepresentation theory

Audience: researchers in the topic

Algebra and Geometry Seminar @ HKUST

Series comments: Algebra and Geometry seminar at the Hong Kong University of Science and Technology (HKUST).

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