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Sinica-NCTS Reading Seminar on Complex Geometry
 
10:00 - 11:30, September 28, 2018 (Friday)
R617, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 617室)
Holomorphic Morse Inequalities and the Asymptotic of the Heat Kernel of Dirac Operator (I)
Wei Ting Kao (Academia Sinica)

Abstract:

Our main goal is to prove Demailly’s strong holomorphic Morse inequalities by using the asymptotic of the heat kernel of Dirac operator. In the first talk, I will talk about some technique in complex geometry (not assuming to be Kähler) and use the result of the asymptotic expansion of heat kernel of Dirac operator to prove holomorphic Morse inequalities. Next time, we will prove the asymptotic expansion of heat kernel of Dirac operator.
 
Reference:
X. Ma and G. Marinescu, Holomorphic Morse Inequalities and Bergman Kernels


 

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