Hodge Structures in Symplectic Geometry - Tony Pantev
Tony Pantev University of Pennsylvania October 21, 2011 I will explain how essential information about the structure of symplectic manifolds is captured by algebraic data, and specifically by the non-commutative (mixed) Hodge structure on the cohomology of the Fukaya category. I will discu
From playlist Mathematics
Hodge Theory -- From Abel to Deligne - Phillip Griffiths
Phillip Griffiths School of Mathematics, Institute for Advanced Study October 14, 2013 For more videos, visit http://video.ias.edu
From playlist Mathematics
Newton above Hodge introduction part 2
This is a second video in the Newton above Hodge series.
From playlist Newton above Hodge
I will discuss certain invariants of singularities, the Hodge ideals, that are defined in the context of Saito’s theory of mixed Hodge modules. They can be considered as higher order analogues of the multiplier ideals, invariants that have had a lot of applications in complex geometry. I w
From playlist Complex analytic and differential geometry - a conference in honor of Jean-Pierre Demailly - 6-9 juin 2017
What is a Tensor? Lesson 33/34: Duality and Hodge Duality
What is a Tensor? Lesson 33/34: Duality and Hodge Duality This is a long lecture, so it should be split into two parts. The first part discusses "duality" in general and the second part discusses the most important duality: Hodge duality. This video has an annotation. Annotations are NOT
From playlist What is a Tensor?
Introduction to Fiber Bundles part 1: Definitions
We give the definition of a fiber bundle with fiber F, trivializations and transition maps. This is a really basic stuff that we use a lot. Here are the topics this sets up: *Associated Bundles/Principal Bundles *Reductions of Structure Groups *Steenrod's Theorem *Torsor structure on arith
From playlist Fiber bundles
Geometers Abandoned 2,000 Year-Old Math. This Million-Dollar Problem was Born - Hodge Conjecture
The Hodge Conjecture is one of the deepest problems in analytic geometry and one of the seven Millennium Prize Problems worth a million dollars, offered by the Clay Mathematical Institute in 2000. It consists of drawing shapes known topological cycles on special surfaces called projective
From playlist Math
Newton above Hodge Introduction part 1
We give the definition of Crystals and Spans and explain some of their basic properties.
From playlist Newton above Hodge
D-modules in birational geometry – Mihnea Popa – ICM2018
Algebraic and Complex Geometry Invited Lecture 4.10 D-modules in birational geometry Mihnea Popa Abstract: I will give an overview of techniques based on the theory of mixed Hodge modules, which lead to a number of applications of a rather elementary nature in birational and complex geom
From playlist Algebraic & Complex Geometry
Conformal Limits of Parabolic Higgs Bundles by Richard Wentworth
PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie
From playlist Vortex Moduli - 2023
Some algebro-geometric aspects of limiting mixed Hodge structure - Phillip Griffiths
Phillip Griffiths Professor Emeritus, School of Mathematics December 16, 2014 This will be an expository talk, mostly drawn from the literature and with emphasis on the several parameter case of degenerating families of algebraic varieties. More videos on http://video.ias.edu
From playlist Mathematics
Automorphic Cohomology II (Carayol's Work and an Application) - Phillip Griffiths
Automorphic Cohomology II (Carayol's Work and an Application) Phillip Griffiths Institute for Advanced Study February 17, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Hodge theory and algebraic cycles - Phillip Griffiths
Geometry and Arithmetic: 61st Birthday of Pierre Deligne Phillip Griffiths Institute for Advanced Study October 18, 2005 Pierre Deligne, Professor Emeritus, School of Mathematics. On the occasion of the sixty-first birthday of Pierre Deligne, the School of Mathematics will be hosting a f
From playlist Pierre Deligne 61st Birthday
https://www.math.ias.edu/files/media/agenda.pdf More videos on http://video.ias.edu
From playlist Mathematics
The Geometric Langlands conjecture and non-abelian Hodge theory (Lecture 3) by Ron Donagi
Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries
From playlist Quantum Fields, Geometry and Representation Theory
On the notion of λ-connection - Carlos Simpson
Geometry and Arithmetic: 61st Birthday of Pierre Deligne Carlos Simpson University of Nice October 18, 2005 Pierre Deligne, Professor Emeritus, School of Mathematics. On the occasion of the sixty-first birthday of Pierre Deligne, the School of Mathematics will be hosting a four-day confe
From playlist Pierre Deligne 61st Birthday
Complex surfaces 4: Ruled surfaces
This talk gives an informal survey of ruled surfaces and their role in the Enriques classification. We give a few examples of ruled surfaces, summarize the basic invariants of surfaces, and sketch how one classifies the surfaces of Kodaira dimension minus infinity.
From playlist Algebraic geometry: extra topics
Hodge Theaters - A First Look at the Big Hodge Theater
Here is a quick preview of Hodge Theaters. I am omitting some arithmetic parts in order to keep the presentation simple.
From playlist Hodge Theaters