Theorems in geometry

Gromov-Ruh theorem

No description. (Wikipedia).

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Dimitri Zvonkine - On two ELSV formulas

The ELSV formula (discovered by Ekedahl, Lando, Shapiro and Vainshtein) is an equality between two numbers. The first one is a Hurwitz number that can be defined as the number of factorizations of a given permutation into transpositions. The second is the integral of a characteristic class

From playlist 4th Itzykson Colloquium - Moduli Spaces and Quantum Curves

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An introduction to the Gromov-Hausdorff distance

Title: An introduction to the Gromov-Hausdorff distance Abstract: We give a brief introduction to the Hausdorff and Gromov-Hausdorff distances between metric spaces. The Hausdorff distance is defined on two subsets of a common metric space. The Gromov-Hausdorff distance is defined on any

From playlist Tutorials

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Yuan-Pin Lee - Introduction to Gromov-Witten theory (Part 2)

In these lectures, Gromov{Witten theory will be introduced, assuming only basic moduli theory covered in the rst week of the School. Then the Crepant Transformation Conjecture will be explained. Some examples, with emphasis on the projective/global cases, will be given. Note: The construct

From playlist École d’été 2011 - Modules de courbes et théorie de Gromov-Witten

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Mikhael Gromov - 1/6 Probability, symmetry, linearity

I plan six lectures on possible directions of modification/generalization of the probability theory, both concerning mathematical foundations and applications within and without pure mathematics. Specifically, I will address two issues. 1. Enhancement of stochastic symmetry by linearizat

From playlist Mikhael Gromov - Probability, symmetry, linearity

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Nicolò Zava (3/17/23): Every stable invariant of finite metric spaces produces false positives

In computational topology and geometry, the Gromov-Hausdorff distance between metric spaces provides a theoretical framework to tackle the problem of shape recognition and comparison. However, the direct computation of the Gromov-Hausdorff distance between finite metric spaces is known to

From playlist Vietoris-Rips Seminar

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Mikhael Gromov - 3/6 Probability, symmetry, linearity

I plan six lectures on possible directions of modification/generalization of the probability theory, both concerning mathematical foundations and applications within and without pure mathematics. Specifically, I will address two issues. 1. Enhancement of stochastic symmetry by linearizat

From playlist Mikhael Gromov - Probability, symmetry, linearity

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Mikhael Gromov - 2/6 Probability, symmetry, linearity

I plan six lectures on possible directions of modification/generalization of the probability theory, both concerning mathematical foundations and applications within and without pure mathematics. Specifically, I will address two issues. 1. Enhancement of stochastic symmetry by linearizat

From playlist Mikhael Gromov - Probability, symmetry, linearity

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Mikhael Gromov - 4/6 Probability, symmetry, linearity

I plan six lectures on possible directions of modification/generalization of the probability theory, both concerning mathematical foundations and applications within and without pure mathematics. Specifically, I will address two issues. 1. Enhancement of stochastic symmetry by linearizat

From playlist Mikhael Gromov - Probability, symmetry, linearity

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The Trolley Problem - Designs With No Right Answer - Extra Credits

Thanks to .SITE for sponsoring this video. Find your perfect domain name here http://bit.ly/EC_Site , and use the code "extracredits" at checkout to get 50% off your purchase. The Trolley Problem is one of the most famous hypotheticals in the philosophy of ethics. There are endless permut

From playlist Extra Credits: Game Design

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Dimitri Zvonkine - Hurwitz numbers, the ELSV formula, and the topological recursion

We will use the example of Hurwitz numbers to make an introduction into the intersection theory of moduli spaces of curves and into the subject of topological recursion.

From playlist ­­­­Physique mathématique des nombres de Hurwitz pour débutants

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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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Introduction to Gromov-Witten Invariants by Ritwik Mukherjee

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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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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Lagrangian Floer theory (Lecture – 02) by Sushmita Venugopalan

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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Transversality and super-rigidity in Gromov-Witten Theory (Lecture - 03) 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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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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Legendrian and Transverse Knots by Dheeraj Kulkarni

DATE & TIME: 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 structure. The moduli space of these curves (

From playlist J-Holomorphic Curves and Gromov-Witten Invariants

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Introduction to Contact Geometry by Dheeraj Kulkarni

DATE & TIME: 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 structure. The moduli space of these curves (

From playlist J-Holomorphic Curves and Gromov-Witten Invariants

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Kuranishi Structures and Gromov-Witten Moduli Spaces, Part I - Katrin Wehrheim

Katrin Wehrheim Massachusetts Institute of Technology; Member, School of Mathematics March 6, 2012 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Mikhael Gromov - 5/6 Probability, symmetry, linearity

I plan six lectures on possible directions of modification/generalization of the probability theory, both concerning mathematical foundations and applications within and without pure mathematics. Specifically, I will address two issues. 1. Enhancement of stochastic symmetry by linearizat

From playlist Mikhael Gromov - Probability, symmetry, linearity

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