Topology (What is a Topology?)
What is a Topology? Here is an introduction to one of the main areas in mathematics - Topology. #topology Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additional cash, b
From playlist 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
Definition of a Topological Space
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Topological Space
From playlist Topology
In this video, I introduce the order topology and prove that it is Hausdorff. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Topology
An introduction to homology (cont.) | Algebraic Topology | NJ Wildberger
Here we carry on our introduction to homology, focussing on a particularly simple space, basically a graph and various modifications to it. We discuss cycles, boundaries, and homology as a quotient of cycles mod boundaries, one such group for each dimension. The framework is commutative g
From playlist Algebraic Topology
A search for an algebraic equivalence analogue of motivic theories - Eric Friedlander
Vladimir Voevodsky Memorial Conference Topic: A search for an algebraic equivalence analogue of motivic theories Speaker: Eric Friedlander Affiliation: University of Southern California Date: September 13, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Flexibility in symplectic and contact geometry – Emmy Murphy – ICM2018
Geometry | Topology Invited Lecture 5.6 | 6.2 Flexibility in symplectic and contact geometry Emmy Murphy Abstract: Symplectic and contact structures are geometric structures on manifolds, with relationships to algebraic geometry, geometric topology, and mathematical physics. We discuss a
From playlist Geometry
Norm stability in the unitary case from Voiculescu to Gromov-Lawson - Shmuel Weinberger
Stability and Testability Topic: Norm stability in the unitary case from Voiculescu to Gromov-Lawson Speaker: Shmuel Weinberger Affiliation: University of Chicago Date: February 24, 2021 For more video please visit http://video.ias.edu
From playlist Stability and Testability
Jonathan Rosenberg: Positive scalar curvature on a class of spin pseudomanifolds.
Talk by Jonathan Rosenberg in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar on April 22, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
I define closed sets, an important notion in topology and analysis. It is defined in terms of limit points, and has a priori nothing to do with open sets. Yet I show the important result that a set is closed if and only if its complement is open. More topology videos can be found on my pla
From playlist Topology
Bernhard Hanke - Surgery, bordism and scalar curvature
One of the most influential results in scalar curvature geometry, due to Gromov-Lawson and Schoen-Yau, is the construction of metrics with positive scalar curvature by surgery. Combined with powerful tools from geometric topology, this has strong implications for the classification of suc
From playlist Not Only Scalar Curvature Seminar
Bourbaki - 24/01/15 - 3/4 - Gilles CARRON
De nouvelles utilisations du principe du maximum en géométrie [d'après B. Andrews, J. Clutterbuck et S. Brendle]
From playlist Bourbaki - 24 janvier 2015
Intro to the Fundamental Group // Algebraic Topology with @TomRocksMaths
In this video I teach the amazing @TomRocksMaths a little bit of algebraic topology, specifically the fundamental group. Tom also taught me some really cool fluid dynamics and you can find our collab over at his channel here: ►►► https://www.youtube.com/watch?v=bpeCfwY4qa0&ab_channel=TomR
From playlist Collaborations
AlgTop20: The geometry of surfaces
This lecture relates the two dimensional surfaces we have just classified with the three classical geometries- Euclidean, spherical and hyperbolic. Our approach to these geometries is non-standard (the usual formulations are in fact deeply flawed) and we concentrate on isometries, avoiding
From playlist Algebraic Topology: a beginner's course - N J Wildberger
Bernd Ammann - Yamabe constants, Yamabe invariants, and Gromov-Lawson surgeries
In this talk I want to study the (conformal) Yamabe constant of a closed Riemannian (resp. conformal) manifold and how it is affected by Gromov-Lawson type surgeries. This yields information about Yamabe invariants and their bordism invariance. So far the talk gives an overview over older
From playlist Not Only Scalar Curvature Seminar
Joseph Ayoub - 5/5 Sur la conjecture de conservativité
La conjecture de conservativité affirme qu'un morphisme entre motifs constructibles est un isomorphisme s'il en est ainsi de l'une des ses réalisations classiques (de Rham, ℓ-adique, etc.). Il s'agit d'une conjecture centrale dans la théorie des motifs ayant des conséquences concrètes sur
From playlist Joseph Ayoub - Sur la conjecture de conservativité
Stable Representation Theory and Spaces of Flat Connections by Daniel Ramras
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
Persistence Curves [Austin Lawson]
In this tutorial, we will explore Persistence Curves, which is a framework for generating functional and vectorized summaries of persistence diagrams. The associated Python package and tutorial notebook (seen in this video) can be found here: https://github.com/azlawson/PersistenceCurves
From playlist Tutorial-a-thon 2021 Spring
Dan Ramras: Coassembly for representation spaces
The lecture was held within the framework of the (Junior) Hausdorff Trimester Program Topology: "The Farrell-Jones conjecture" I'll discuss models for a coassembly map (the topological Atiyah-Segal map) from representation spaces to topological K-theory. At its most basic, this map carrie
From playlist HIM Lectures: Junior Trimester Program "Topology"
In this video, I cover the notion of continuity, as used in topology. The beautiful thing is that this doesn't use epsilon-delta at all, and instead just something purely geometric. Enjoy this topology-adventure! Topology Playlist: https://youtube.com/playlist?list=PLJb1qAQIrmmA13vj9xkHGG
From playlist Topology