Wall-Crossing and the DT/PT3 Descendant Correspondence

Abstract: Donaldson–Thomas and Pandharipande–Thomas invariants are two ways of counting curves in Calabi-Yau 3-folds, related by a change of stability conditions. Wall-crossing is a technique that allows us to compare enumerative invariants under such a change in stability condition. It has emerged as a powerful tool for computations and in the study of properties of generating series of various types of enumerative invariants. I will present joint work with N. Kuhn and H. Liu on how to use (virtual) localization to wall-cross more general invariants with descendant insertions. In the process I will explain how Juanolou's trick from classical algebraic geometry comes in as a useful and central ingredient.

algebraic geometrynumber theory

Audience: researchers in the discipline

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SFU NT-AG seminar

Series comments: The Number Theory and Algebraic Geometry (NT-AG) seminar is a research seminar dedicated to topics related to number theory and algebraic geometry hosted by the NT-AG group (Nils Bruin, Imin Chen, Stephen Choi, Katrina Honigs, Nathan Ilten, Marni Mishna).

We acknowledge the support of PIMS, NSERC, and SFU.

For Fall 2025, the organizers are Katrina Honigs and Peter McDonald.

We normally meet in-person in the indicated room. For online editions, we use Zoom and distribute the link through the mailing list. If you wish to be put on the mailing list, please subscribe to ntag-external using lists.sfu.ca

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