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.