Complex manifolds

Holomorphic curve

In mathematics, in the field of complex geometry, a holomorphic curve in a complex manifold M is a non-constant holomorphic map f from the complex plane to M. Nevanlinna theory addresses the question of the distribution of values of a holomorphic curve in the complex projective line. (Wikipedia).

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Positivity and algebraic integrability of holomorphic foliations – Carolina Araujo – ICM2018

Algebraic and Complex Geometry Invited Lecture 4.7 Positivity and algebraic integrability of holomorphic foliations Carolina Araujo Abstract: The theory of holomorphic foliations has its origins in the study of differential equations on the complex plane, and has turned into a powerful t

From playlist Algebraic & Complex Geometry

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Symplectic forms in algebraic geometry - Giulia Saccà

Giulia Saccà Member, School of Mathematics January 30, 2015 Imposing the existence of a holomorphic symplectic form on a projective algebraic variety is a very strong condition. After describing various instances of this phenomenon (among which is the fact that so few examples are known!)

From playlist Mathematics

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Rigid holomorphic curves are generically super-rigid - Chris Wendl

Princeton/IAS Symplectic Geometry Seminar Topic: Rigid holomorphic curves are generically super-rigid Speaker: Chris Wendl Affiliation: Humboldt-Universität zu Berlin Date: March 31, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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What are domains of holomorphy?

We define domains of holomorphy in C^n. We introduce holomorphically convex domains. We state the Cartan-Thullen theorem, and list consequences. One if them provides the existence of a smallest domain of holomorphy containing a fixed domain. For more details see Hormander's "An introducti

From playlist Several Complex Variables

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Tangential Lipschitz Gain for Holomorphic Functions - Sivaguru Ravisankar

Sivaguru Ravisankar The Ohio State University; Member, School of Mathematics October 1, 2012 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Counting embedded curves in symplectic 6-manifolds - Aleksander Doan

Symplectic Dynamics/Geometry Seminar Topic: Counting embedded curves in symplectic 6-manifolds Speaker: Aleksander Doan Affiliation: Columbia University Date: February 03, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

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Transversality and super-rigidity in Gromov-Witten Theory by Chris Wendl

J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru

From playlist J-Holomorphic Curves and Gromov-Witten Invariants

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Complex Analysis (Advanced) -- The Schwarz Lemma

A talk I gave concerning my recent results on the Schwarz Lemma in Kähler and non-Kähler geometry. The talk details the classical Schwarz Lemma and discusses André Bloch. This is part 1 of a multi-part series. Part 1 -- https://youtu.be/AWqeIPMNhoA Part 2 -- https://youtu.be/hd7-iio77kc P

From playlist Complex Analysis

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Holomorphic tensors, fundamental groups and universal...(Lecture - 04) by Frederic Campana

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

From playlist Complex Geometry

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Non-displaceable Lagrangian links in four-manifolds - Cheuk Yu Mak

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic: Non-displaceable Lagrangian links in four-manifolds Speaker: Cheuk Yu Mak Affiliation: University of Edinburgh Date: February 12, 2021 For more video please visit http://video.ias.edu

From playlist Mathematics

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Transversality and super-rigidity in Gromov-Witten Theory (Lecture – 02) by Chris Wendl

J-Holomorphic Curves and Gromov-Witten Invariants DATE:25 December 2017 to 04 January 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore Holomorphic curves are a central object of study in complex algebraic geometry. Such curves are meaningful even when the target has an almost complex stru

From playlist J-Holomorphic Curves and Gromov-Witten Invariants

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Chris WENDL - 3/3 Classical transversality methods in SFT

There are easy examples showing that classical transversality methods cannot always succeed for multiply covered holomorphic curves, but the situation is not hopeless. In this talk I will describe two approaches that sometimes lead to interesting results: (1) analytic perturbation theory,

From playlist 2015 Summer School on Moduli Problems in Symplectic Geometry

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Branched Holomorphic Cartan Geometries by Sorin Dumitrescu

DISCUSSION MEETING ANALYTIC AND ALGEBRAIC GEOMETRY DATE:19 March 2018 to 24 March 2018 VENUE:Madhava Lecture Hall, ICTS, Bangalore. Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions be

From playlist Analytic and Algebraic Geometry-2018

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Quadratic differentials and measured foliations on Riemann surfaces by Subhojoy Gupta

Program : Integrable? ?systems? ?in? ?Mathematics,? ?Condensed? ?Matter? ?and? ?Statistical? ?Physics ORGANIZERS : Alexander Abanov, Rukmini Dey, Fabian Essler, Manas Kulkarni, Joel Moore, Vishal Vasan and Paul Wiegmann DATE & TIME : 16 July 2018 to 10 August 2018 VENUE : Ramanujan L

From playlist Integrable​ ​systems​ ​in​ ​Mathematics,​ ​Condensed​ ​Matter​ ​and​ ​Statistical​ ​Physics

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Open Gromov–Witten theory, skein modules, duality, and knot contact homology – T. Ekholm – ICM2018

Geometry | Topology Invited Lecture 5.7 | 6.3 Open Gromov–Witten theory, skein modules, large N duality, and knot contact homology Tobias Ekholm Abstract: Large N duality relates open Gromov–Witten invariants in the cotangent bundle of the 3-sphere with closed Gromov–Witten invariants in

From playlist Geometry

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Complex analysis: Cauchy's integral formula

This lecture is part of an online undergraduate course on complex analysis. We state and prove Cauchy's integral formula. We then discuss some of it many applications; for example, Taylor series, Liouville's theorem, and Morera's theorem. For the other lectures in the course see https:/

From playlist Complex analysis

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From Gromov to the Moon - Joel Fish

Joel Fish Massachusetts Institute of Technology; Member, School of Mathematics December 2, 2013 I will present some recent applications of symplectic geometry to the restricted three body problem. More specifically, I will discuss how Gromov's original study of pseudoholomorphic curves in

From playlist Mathematics

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Samuel Grushevsky: Limits of zeroes of holomorphic differential on stable nodal Riemann surfaces

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Dynamical Systems and Ordinary Differential Equations

Related pages

Complex plane | Projective line | Nevanlinna theory | Complex geometry | Mathematics | Pseudoholomorphic curve | Complex manifold