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NCTS Differential Geometry Seminar
16:00 - 17:00, September 14, 2023 (Thursday)
Room 505, Cosmology Bldg., National Taiwan University + Cisco WebEx, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館505研討室+ Cisco WebEx)
Linear Stability and Moduli Space of Generalized Ricci Solitons
Kuan-Hui Lee (University of California, Irvine)


The generalized Einstein-Hilbert action is an extension of the classic scalar curvature energy and Perelman's F-functional which incorporates a closed three-form. The critical points are known as generalized Ricci solitons, which arise naturally in mathematical physics, complex geometry, and generalized geometry. In this talk, we would like to study the local behavior of the generalized Ricci solitons and compute the second variation formula of the generalized Einstein-Hilbert action. As an application we show that all Bismut-flat manifolds are linearly stable critical points, and admit nontrivial deformations arising from Lie theory. Furthermore, this leads to extensions of classic results of Koiso, Podesta, Spiro, Kröncke to the moduli space of generalized Ricci solitons.

WebEx Link: https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=me80a586337f3c4437f971a467be8cdec

Meeting number (access code): 2510 970 3446
Meeting password: ywPJWk9kt97



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