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Non-Kahler Calabi-Yau geometry and pluriclosed flow

2021-11-30 10:35:54
报告人 Liding Huang 时间 14:00-15:00
地点 ZOOM 2021
月日 12-03

Time: 14:00-15:00, Friday, December 3rd, 2021

ZOOM ID: 852 0948 1209

Passcode:985226


Speaker: Dr. Liding Huang

Title: Non-Kahler Calabi-Yau geometry and pluriclosed flow


Abstract:

Hermitian, pluriclosed metrics with vanishing Bismut-Ricci form give a natural extension of Calabi-Yau metrics to the setting of complex, non-Kahler manifolds, and arise independently in mathematical physics. Fernandez Jordan-Streets reinterpret this condition in terms of the Hermitian-Einstein equation on an associated holomorphic Courant algebroid, and  refer to solutions as Bismut Hermitian-Einstein. Dr. Liding Huang will prove that there are we exhibit infinitely many topologically distinct complex manifolds in every dimension with vanishing first Chern class which do not admit Bismut Hermitian-Einstein metrics.