Definition of a Topological Space
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Topological Space
From playlist Topology
This video is about topological spaces and some of their basic properties.
From playlist Basics: Topology
Algebraic topology: Introduction
This lecture is part of an online course on algebraic topology. This is an introductory lecture, where we give a quick overview of some of the invariants of algebraic topology (homotopy groups, homology groups, K theory, and cobordism). The book "algebraic topology" by Allen Hatcher men
From playlist Algebraic topology
Metric space definition and examples. Welcome to the beautiful world of topology and analysis! In this video, I present the important concept of a metric space, and give 10 examples. The idea of a metric space is to generalize the concept of absolute values and distances to sets more gener
From playlist Topology
This video is about metric spaces and some of their basic properties.
From playlist Basics: Topology
Topological Spaces: Introduction & Axioms
The first video in a new series on topological spaces and manifolds.
From playlist Topology & Manifolds
Topological spaces and manifolds | Differential Geometry 24 | NJ Wildberger
We introduce the notion of topological space in two slightly different forms. One is through the idea of a neighborhood system, while the other is through the idea of a collection of open sets. While this is all reasonably traditional stuff, regular viewers of this channel will not be surp
From playlist Differential Geometry
Gromov-Witten Theory and Gauge Theory (Lecture 2) by Constantin Teleman
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
Anton Kapustin - Higher Symmetry, TQFT, and Gapped Phases of Matter
Anton KAPUSTIN (Caltech, Pasadena, USA)
From playlist Algèbre, Géométrie et Physique : une conférence en l'honneur
Sanjay Mishra: Preservation of Properties during Topological Equivalence of Function Space
Sanjay Mishra, Lovely Professional University Title: Preservation of Properties during Topological Equivalence of Function Space The study of convergence of sequence of functions is the most important and active area of research in theoretical mathematics that solve several problems of app
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Jack Morava: On the group completion of the Burau representation
Abstract: On fundamental groups, the discriminant ∏i≠k(zi – zk) ∈ C^× of a finite collection of points of the plane defines the abelianization homomorphism sending a braid to its number of overcrossings less undercrossings or writhe. In terms of diffeomorphisms of the punctured plane, it
From playlist SMRI Algebra and Geometry Online
High dimensional expanders – Alexander Lubotzky – ICM2018
Plenary Lecture 13 High dimensional expanders Alexander Lubotzky Abstract: Expander graphs have been, during the last five decades, the subject of a most fruitful interaction between pure mathematics and computer science, with influence and applications going both ways. In the last decad
From playlist Plenary Lectures
Teena Gerhardt - 1/3 Algebraic K-theory and Trace Methods
Algebraic K-theory is an invariant of rings and ring spectra which illustrates a fascinating interplay between algebra and topology. Defined using topological tools, this invariant has important applications to algebraic geometry, number theory, and geometric topology. One fruitful approac
From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory
In this video, we give an important motivation for studying Topological Cyclic Homology, so called "trace methods". Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture Homepage with further information: https://w
From playlist Topological Cyclic Homology
Topologies of nodal sets of random band limited functions - Peter Sarnak
Peter Sarnak Institute for Advanced Study; Faculty, School of Mathematics March 3, 2014 We discuss various Gaussian ensembles for real homogeneous polynomials in several variables and the question of the distribution of the topologies of the connected components of the zero sets of a typic
From playlist Mathematics
Teena Gerhardt - 3/3 Algebraic K-theory and Trace Methods
Algebraic K-theory is an invariant of rings and ring spectra which illustrates a fascinating interplay between algebra and topology. Defined using topological tools, this invariant has important applications to algebraic geometry, number theory, and geometric topology. One fruitful approac
From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory
MagLab Theory Winter School 2018: Ryu Shinsei: Quantum Entangle in Conformal & Topological 2
The National MagLab held it's sixth Theory Winter School in Tallahassee, FL from January 8th - 13th, 2018.
From playlist 2018 Theory Winter School
Introduction to Metric Spaces - Definition of a Metric. - The metric on R - The Euclidean Metric on R^n - A metric on the set of all bounded functions - The discrete metric
From playlist Topology
David Ben-Zvi: Geometric Langlands correspondence and topological field theory - Part 1
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 Algebraic and Complex Geometry