The Calabi-Yau problem in HKT Geometry

Abstract: HKT Geometry (HyperKahler with torsion Geometry) is the Geometry of hyperHermitian manifolds equipped with a nondegenerate $\partial$-closed (2,0)-form $\Omega$. The talk will focus on the seek of special HKT metrics and on a conjecture of Alesker and Verbisky about the existence of a balanced HKT metric on a compact HKT ${\rm SL}(n,\mathbb{H})$-manifold. Some new advances about the conjecture will be described.

differential geometry

Audience: researchers in the topic

( video )

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Virtual seminar on geometry with symmetries

Series comments: Description: Research seminar in Lie group actions in Riemannian geometry.

The seminar meets every other Wednesday. To accommodate most time zones, the time rotates. The Zoom link is sent to the mailing list around 24 hours before each talk. To subscribe to the mailing list, send a message to geometrywithsymmetries@gmail.com requiring it.

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