Geometry & Topology seminars - Weixia Zhu

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Mercoledì 17 maggio alle ore 14:00, per il ciclo di seminari "Geometry & Topology seminars at Unimib", Weixia Zhu (University of Wien) parlerà di

Title: Heat kernel asymptotics for Kohn Laplacians on CR manifolds

Abstract: In complex geometry, Demailly and Bismut used the heat kernel asymptotics for Kodaira Laplacians to establish Morse inequalities on complex manifolds. It is natural to ask whether one can establish analogies to Morse inequalities on CR manifolds by studying the asymptotic behaviour of the heat kernel. In this talk, I will show how to establish the heat kernel asymptotics for Kohn Laplacian (particularly in the Heisenberg case) with values in high tensor power of line bundle. As an application, it provides a heat kernel proof of Morse inequalities on compact CR manifolds. This is a joint work with Chin-Yu Hsiao.

Il seminario si svolgerà online tramite la piattaforma WebEx e sarà trasmesso in diretta streamoing in aula 3014 - edificio U5-Ratio.

Information to attend online

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https://unimib.webex.com/unimib/j.php?MTID=md67c08b381ecba355e7dbbf5182fef4a
 
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Meeting number (access code): 2743 576 9398
Meeting password: aCdBmV6rV73 (22326867 from phones)
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