Complex Geometry (2017)

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source: International Centre for Theoretical Sciences    2017年3月28日
20 March 2017 to 25 March 2017
VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru
Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions between mathematics and theoretical physics, especially string theory, channels through complex analytic geometry. Some of the high points of research in this topic are: Yau’s proof of Calabi’s conjecture, Donaldson-Uhlenbeck-Yau’s theorem that poly stable vector bundles are precisely the solutions of the Hermitian-Einstein equation, Demailly’s work of Kobayashi hyperbolicity.
CONTACT US: program@icts.res.in
PROGRAM LINK: https://www.icts.res.in/discussion-me...

Holomorphic tensors, fundamental groups and universal... (Lecture - 01) by Frederic Campana 1:07:57
Hyperbolic geometry and the proof of Morrison-Kawamata... (Lecture - 01) by Misha Verbitsky 58:30
Counting curves in a Linear System with upto eight singular points by Ritwik Mukherjee 59:57
Holomorphic tensors, fundamental groups and universal... (Lecture - 02) by Frederic Campana 1:09:05
Hyperbolic geometry and the proof of Morrison-Kawamata... (Lecture - 02) by Misha Verbitsky 59:40
Moduli of connections on curves: some examples by Frank Loray 1:02:29
Motions of limit sets by Mahan Mj 1:02:33
Holomorphic tensors, fundamental groups and universal... (Lecture - 03) by Frederic Campana 58:28
Hyperbolic geometry and the proof of Morrison-Kawamata... (Lecture - 03) by Misha Verbitsky 1:01:43
Nori uniformization of algebraic stacks by Niels Borne 1:04:09
Hyperbolic geometry and the proof of Morrison-Kawamata... (Lecture - 04) by Misha Verbitsky 1:01:01
Quotient stacks as root stacks by Ajneet Dhillon 1:02:01
[私人影片]
Relative Canonical Bundles for families of Calabi-Yau manifolds, twisted Hodge by Georg Schumacher 1:02:42
The algebraic geometry of Instantons on the Taub-NUT manifold by Jacques Hurtubise 1:04:02
On Moebius and conformal maps between boundaries of CAT(-1) spaces by Kingshook Biswas 1:03:01
Characteristic classes of Real vector bundles by Johannes Huisman 1:08:06
The moduli space of Higgs bundles over a real curve and the real Abel-Jacobi map by Tom Baird 1:02:51
Holomorphic tensors, fundamental groups and universal...(Lecture - 04) by Frederic Campana 1:07:47