http://www-math.umd.edu/research/seminars.html http://www-math.umd.edu/research/seminars.html Wed, 14 Sep 2022 15:00:00 EDT Where: Kirwan Hall 1308
Speaker: Kwong Sze Hong (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Wed, 21 Sep 2022 15:00:00 EDT Where: Kirwan Hall 1308
Speaker: Kwong Sze Hong (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Wed, 28 Sep 2022 15:00:00 EDT Where: Kirwan Hall 1308
Speaker: Kwong Sze Hong (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Wed, 05 Oct 2022 15:00:00 EDT Where: Kirwan Hall 1308
Speaker: Vlasios Mastrantonis (UMD) -
Abstract: We discuss Cordero-Erausquin's proof of Santaló's inequality for symmetric convex bodies in \C^n, obtained by combining complex interpolation with Berndtsson's generalization of Prékopa's inequality.
]]> http://www-math.umd.edu/research/seminars.html Wed, 12 Oct 2022 15:00:00 EDT Where: Kirwan Hall 1308
Speaker: Prakhar Gupta (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Wed, 19 Oct 2022 15:00:00 EDT Where: Kirwan Hall 1308
Speaker: Prakhar Gupta (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Wed, 26 Oct 2022 15:00:00 EDT Where: Kirwan Hall 1308
Speaker: Yong Cui (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Wed, 02 Nov 2022 15:00:00 EDT Where: Kirwan Hall 1308
Speaker: Vasanth Pidaparthy (UMD) -
Abstract: We continue the study of the complex Monge-Ampère operator initiated by Prakhar. The homogeneous complex Monge--Ampère equation is the geodesic equation for a natural Riemannian metric on the space of Kähler metrics on a Kähler manifold. In this talk, we will compute the Levi-Civita connection and curvature on this infinite dimensional Riemannian manifold, and show that it is a symmetric space.
]]> http://www-math.umd.edu/research/seminars.html Wed, 09 Nov 2022 15:00:00 EST Where: Kirwan Hall 1308
Speaker: Kwong Sze Hong (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Wed, 16 Nov 2022 15:00:00 EST Where: Kirwan Hall 1308
Speaker: Yu-Chi Hou (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Wed, 30 Nov 2022 15:00:00 EST Where: Kirwan Hall 1308
Speaker: Yu-Chi Hou (UMD) -
Abstract: When the line bundle is not positive, another useful tool to study the cohomologies of line bundles is Demailly's holomorphic Morse inequalities. We will extend Bergman kernel to (0,q)-forms valued in a holomorphic line bundle and discuss local holomorphic Morse inequalities due to Berman in his Ph.D thesis. Finally, if time permits, I will mention some works in my master thesis regarding this direction.
]]> http://www-math.umd.edu/research/seminars.html Wed, 07 Dec 2022 15:00:00 EST Where: Kirwan Hall 1308
Speaker: Yu-Chi Hou (UMD) -
Abstract: When the line bundle is not positive, another useful tool to study the cohomologies of line bundles is Demailly's holomorphic Morse inequalities. We will extend Bergman kernel to (0,q)-forms valued in a holomorphic line bundle and discuss local holomorphic Morse inequalities due to Berman in his Ph.D thesis. Finally, if time permits, I will mention some works in my master thesis regarding this direction.
]]> http://www-math.umd.edu/research/seminars.html Wed, 25 Jan 2023 14:00:00 EST Where: Kirwan Hall 1308
Speaker: () -

]]> http://www-math.umd.edu/research/seminars.html Wed, 08 Feb 2023 14:00:00 EST Where: Kirwan Hall 1308
Speaker: Cheuk-Yan Fung (UMD) -
Abstract: The goal of the talk in these 2 weeks is to prove Calabi-Yau Theorem. This week, we will have a quick review on the definition and properties of Kähler manifold. Then we will formulate Calabi-Yau Theorem into a PDE problem and we will show the theorem using the continuity method. We will outline the several key steps of the proof and leave the technical details in next week. The main reference is chapter 1 -3 of An Introduction to Extremal Kähler Metrics written by Gabor Szekelyhidi.
]]> http://www-math.umd.edu/research/seminars.html Wed, 15 Feb 2023 14:00:00 EST Where: Kirwan Hall 1308
Speaker: Cheuk-Yan Fung () -
Abstract: This week, we continue the proof of Calabi-Yau Theorem. In particular, we will show the remaining proof of openness and closeness from last week and Yau's C^0 estimate. If time permits, we can discuss its application in Kähler-Ricci Flow.
]]> http://www-math.umd.edu/research/seminars.html Wed, 22 Feb 2023 14:00:00 EST Where: Kirwan Hall 1308
Speaker: Yu-Chi Hou (UMD) -
Abstract: In this talk, we continue discussion on stability for holomorphic vector bundles initiated by Sze-Hong in the last semester. We will discuss Donaldson-Uhlenbeck-Yau theorem/Kobayashi-Hitchin correspondence, which generalizes Narasimhan-Seshadri theorem to higher dimensions. Following Yum-Tong Siu’s note, we will present Donaldson’s heat flow proof to prove that any stable bundle on projective manifolds admits Hermitian-Einstein metric.
]]> http://www-math.umd.edu/research/seminars.html Wed, 01 Mar 2023 14:00:00 EST Where: Kirwan Hall 1308
Speaker: Yu Chi Hou (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Wed, 15 Mar 2023 14:00:00 EDT Where: Kirwan Hall 1308
Speaker: Vasanth Pidaparthy (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Wed, 29 Mar 2023 14:00:00 EDT Where: Kirwan Hall 1308
Speaker: Prakhar Gupta (UMD) -
Abstract: After recalling the pluripotential theory on Open sets in Cn discussed last semester, I'll describe the pluripotential theory on compact Kahler manifolds. I'll set up the problem of solving the complex Monge Ampere equation using the variational method.
]]> http://www-math.umd.edu/research/seminars.html Wed, 05 Apr 2023 14:00:00 EDT Where: Kirwan Hall 1308
Speaker: Prakhar Gupta (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Wed, 12 Apr 2023 14:00:00 EDT Where: Kirwan Hall 1308
Speaker: Kwong Sze Hong (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Wed, 19 Apr 2023 14:00:00 EDT Where: Kirwan Hall 1308
Speaker: Drimik Roy Chowdhury (UMD) -

]]> http://www-math.umd.edu/research/seminars.html Wed, 26 Apr 2023 14:00:00 EDT Where: Kirwan Hall 1308
Speaker: Drimik Roy Chowdhury (UMD) -

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