演講公告

演講主題：Semi-classical analysis in complex geometry: Bergman kernel asymptotics for lower energy forms
主講人：蕭欽玉博士 (中央研究院數學所)
演講日期：2014年12月2日(星期二) 下午2:00 –3:00
演講地點：(光復校區) 科學一館223室
茶會時間：當天下午1:30 (科學一館205室)
摘要內容：
In my work with Marinescu at 2012, we give a semi-classical study of the complex Witten Laplacian. As an application, we obtain a full asymptotic expansion of the spectral function corresponding to the lower part of the spectrum of the Kodaira Laplacian on high tensor powers of a holomorphic line bundle. From this result, we could deduce many classical results in complex geometry (eg Kodaira embedding and vanishing Theorems, Demailly's Morse inequalities, Bergman kernel asymptotics for ample line bundles). In this talk, I will first review these classical results in and show how to obtain these results from our main result.
相關檔案：Talk_1031202.doc

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