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Quadratic differentials and Donaldson-Thomas invariants

来源: 10-29

时间:Wednesday 13:30-14:30 Oct. 30, 2024

地点:Zoom Meeting ID: 815 762 8413 Passcode: BIMSA

组织者:Yu-Wei Fan

主讲人:Omar Kidwai

BIMSA-YMSC Geometry and Dynamics Seminar

Organizer:

Yu-Wei Fan (YMSC)

Speaker:

Omar Kidwai (CUHK)

Time:

Wednesday 13:30-14:30

Oct. 30, 2024

Online:

Zoom Meeting ID: 815 762 8413

Passcode: BIMSA

Title:

Quadratic differentials and Donaldson-Thomas invariants

Abstract:

We recall the relation between quadratic differentials and spaces of stability conditions due to Bridgeland-Smith. We describe the calculation of (refined) Donaldson-Thomas invariants for stability conditions on a certain class of 3-Calabi-Yau triangulated categories defined by Christ-Haiden-Qiu. This category is slightly different from the usual one discussed by Bridgeland and Smith, which in particular allows us to recover a nonzero invariant in the case where the quadratic differential has a second-order pole, in agreement with predictions from the physics literature. Based on joint work with N. Williams.

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