Wall-crossing for invariants of equivariant 3CY categories (overview)

Abstract: I will give an overview of: what is wall-crossing; geometric techniques for producing wall-crossing formulas; recent advances in such techniques for enumerative invariants, particularly those of ``3-Calabi-Yau type'', in various equivariant cohomology theories like K-theory or elliptic cohomology. This includes joint work with N. Kuhn and F. Thimm which can be thought of as a refinement and generalization of results of Joyce-Song and Kontsevich-Soibelman. Applications include the Donaldson-Thomas/Pandharipande-Thomas vertex correspondence (related to the topological vertex) and the study of refined Vafa-Witten invariants.

algebraic geometryrepresentation theory

Audience: researchers in the topic

Comments: Lecture series: Wall-crossing for invariants of equivariant 3CY categories

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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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