Algebra and Algebraic geometry

Speaker: 
Henry Liu
Speaker Affiliation: 
Kavli IPMU
Speaker Link: 
https://member.ipmu.jp/henry.liu/

September 8, 2025

MATH 126
Canada

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Abstract: 

In recent work with Felix Thimm and Nick Kuhn, we proved a Joyce-style "universal" wall-crossing formula for certain equivariant moduli problems of 3-Calabi-Yau type, including Donaldson-Thomas theory. An immediate and productive question is how tautological classes like descendents transform under such wall-crossings. I will present an explicit descendent transformation formula for the Donaldson-Thomas/Pandharipande-Thomas wall-crossing of equivariant vertices, explain how the computation works, and speculate on how it may be generalized. This serves as a fairly down-to-earth example of how such wall-crossing formulas may be applied.

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