Explore derived microlocal geometry and its applications to virtual invariants in this advanced mathematics lecture. Delve into a derived geometric generalization of microlocal sheaf theory, gaining fresh insights into virtual invariants for derived moduli spaces. Discover how this approach leads to a 3-dimensional refinement of the 2-dimensional cohomological Hall algebra developed by Kapranov and Vasserot. Learn about the latest developments in this field, based on forthcoming joint research with Adeel Khan, as presented by Tasuki Kinjo at the Hausdorff Center for Mathematics.
Overview
Syllabus
Tasuki Kinjo: Derived microlocal geometry and virtual invariants
Taught by
Hausdorff Center for Mathematics
Related Courses
-
Moduli Spaces of Sheaves, Vafa-Witten Formula and Virtual Invariants
-
Virtual Invariants of Moduli Spaces of Sheaves on Surfaces and Vafa-Witten Invariants I
-
Stable Pair Invariants and Derived Categories - Lecture 1
-
ICTP-IGAP Seminar on Algebraic Geometry - Refined Invariants and Vafa-Witten Invariants
-
Cohomological Hall Algebras, Their Representations, and Nakajima Operators
-
Cohomological Hall Algebras of 0-Dimensional Sheaves on Surfaces
