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
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
H. Reis - Introduction to holomorphic foliations (Part 4)
The purpose of this course is to present the basics of the general theory of (singular) holomorphic foliations. We will begin with the general definition of a (regular) foliation and its relation with Frobenius Theorem. We will then introduce the singular analogues of these notions in the
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
H. Reis - Introduction to holomorphic foliations (Part 1)
The purpose of this course is to present the basics of the general theory of (singular) holomorphic foliations. We will begin with the general definition of a (regular) foliation and its relation with Frobenius Theorem. We will then introduce the singular analogues of these notions in the
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
I will introduce the tangent bundle of a smooth manifold, from the point of view of function calculus on a manifold. At the end I show that the tangent bundle is a smooth manifold. A good reference to learn this is do Carmo's "Differential Forms and Applications" Chapter 3. Please like a
From playlist Differential geometry
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
H. Reis - Introduction to holomorphic foliations (Part 3)
The purpose of this course is to present the basics of the general theory of (singular) holomorphic foliations. We will begin with the general definition of a (regular) foliation and its relation with Frobenius Theorem. We will then introduce the singular analogues of these notions in the
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
H. Reis - Introduction to holomorphic foliations (Part 2)
The purpose of this course is to present the basics of the general theory of (singular) holomorphic foliations. We will begin with the general definition of a (regular) foliation and its relation with Frobenius Theorem. We will then introduce the singular analogues of these notions in the
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
7 juillet 2015
From playlist 2015 Summer School on Moduli Problems in Symplectic Geometry
Holomorphic rigid geometric structures on compact manifolds by Sorin Dumitrescu
Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio
From playlist Higgs Bundles
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
Holomorphic Cartan geometries on simply connected manifolds by Sorin Dumitrescu
Discussion Meeting Complex Algebraic Geometry ORGANIZERS: Indranil Biswas, Mahan Mj and A. J. Parameswaran DATE:01 October 2018 to 06 October 2018 VENUE: Madhava Lecture Hall, ICTS, Bangalore The discussion meeting on Complex Algebraic Geometry will be centered around the "Infosys-ICT
From playlist Complex Algebraic Geometry 2018
Kyle Broder -- Recent Developments Concerning the Schwarz Lemma
A lecture I gave at the Beijing International Center for Mathematical Research geometric analysis seminar. The title being Recent Developments Concerning the Schwarz Lemma with applications to the Wu--Yau Theorem. This contains some recent results concerning the Bochner technique for the G
From playlist Research Lectures
Brent Pym: Holomorphic Poisson structures - lecture 3
The notion of a Poisson manifold originated in mathematical physics, where it is used to describe the equations of motion of classical mechanical systems, but it is nowadays connected with many different parts of mathematics. A key feature of any Poisson manifold is that it carries a cano
From playlist Virtual Conference
Coherent sheaves, Chern character, and RRG
Distinguished Lecture Series by Jean-Michel Bismut (Université Paris-Saclay, France)
From playlist Distinguished Visitors Lecture Series
Mini course 2: Introduction to Higgs bundles (Lecture 2) by Francois Labourie
Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b
From playlist Geometry, Groups and Dynamics (GGD) - 2017
Hilbert Space Techniques in Complex Analysis and Geometry (Lecture 1) by Dror Varolin
PROGRAM CAUCHY-RIEMANN EQUATIONS IN HIGHER DIMENSIONS ORGANIZERS: Sivaguru, Diganta Borah and Debraj Chakrabarti DATE: 15 July 2019 to 02 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Complex analysis is one of the central areas of modern mathematics, and deals with holomo
From playlist Cauchy-Riemann Equations in Higher Dimensions 2019
Cohomology and arithmetic of some mapping spaces - Oishee Banerjee
Members' Colloquium Topic: Cohomology and arithmetic of some mapping spaces Speaker: Oishee Banerjee Affiliation: Member, School of Mathematics Date: Date: April 10, 2023 How do we describe the topology of the space of all nonconstant holomorphic (respectively, algebraic) maps F: X--- g
From playlist Mathematics
Mathematical Research Lecture -- Kyle Broder -- Curvature and Moduli
A recent talk I gave concerning the link between the curvature of the total space of a family of compact complex manifolds and the moduli-theoretic behaviour of the fibres. Part of this research appears in my Ph.D. thesis, and will appear in an upcoming preprint. 💪🙏 Support the channel b
From playlist Research Lectures