Conférencier: Kuan-Hui Lee, Univ. of California, Irvine

Résumé: Non-Kähler Calabi-Yau theory is a newly developed subject and it arises naturally in mathematical physics and generalized geometry. The relevant geometries are pluriclosed metrics which are critical points of the generalized Einstein–Hilbert action which is an extension of Perelman’s F-functional. In this talk, we studied the non-Kähler Calabi-Yau through pluriclosed flow which was first introduced by Streets and Tian a few years ago. We study the critical points of the generalized Einstein-Hilbert action and discuss the stability of critical points which are defined as pluriclosed steady solitons. We proved that all compact Bismut–Hermitian–Einstein metrics are linearly stable.