Aarhus Universitets segl

The Aeppli cohomology of Bismut flat manifolds

Giuseppe Barbaro (Aarhus University)
Fredag 8. december 2023 14:15–15:15 Aud. D1 (1531-113)
Mathematics seminar

Abstract: We compute the (1,1)-Aeppli cohomology of compact simply-connected Lie groups. Consequently, we can exploit the result of Garcia-Fernandez, Jordan, and Streets proving a global stability property for the Bismut flat metrics with respect to the pluriclosed flow on compact Bismut flat manifolds with finite fundamental group. As an application, this gives strong evidences of the non-existence of pluriclosed Calabi-Yau with torsion metrics in the homogeneous case.

Organiseret af: CMCG
Kontakt: Giuseppe Barbaro Revideret: 05.12.2023