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
algebraic geometry 15 Projective space
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It introduces projective space and describes the synthetic and analytic approaches to projective geometry
From playlist Algebraic geometry I: Varieties
algebraic geometry 5 Affine space and the Zariski topology
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the definition of affine space and its Zariski topology.
From playlist Algebraic geometry I: Varieties
AlgTop1: One-dimensional objects
This is the first lecture of this beginner's course in Algebraic Topology (after the Introduction). In it we introduce the two basic one-dimensional objects: the line and circle. The latter has quite a few different manifestations: as a usual Euclidean circle, as the projective line of one
From playlist Algebraic Topology: a beginner's course - N J Wildberger
Definition of a Topological Space
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Topological Space
From playlist Topology
Algebraic Topology - 1 - Compact Hausdorff Spaces (a Review of Point-Set Topology)
This is mostly a review point set topology. In general it is not true that a bijective continuous map is invertible (you need to worry about the inverse being continuous). In the case that your spaces are compact hausdorff this is true! We prove this in this video and review necessary fac
From playlist Algebraic Topology
Algebraic Topology - 5.1 - Mappings Spaces and the Compact Open Topology
We define the compact open topology on mapping spaces.
From playlist Algebraic Topology
Robert Ghrist, Lecture 2: Topology Applied II
27th Workshop in Geometric Topology, Colorado College, June 11, 2010
From playlist Robert Ghrist: 27th Workshop in Geometric Topology
AlgTopReview4: Free abelian groups and non-commutative groups
Free abelian groups play an important role in algebraic topology. These are groups modelled on the additive group of integers Z, and their theory is analogous to the theory of vector spaces. We state the Fundamental Theorem of Finitely Generated Commutative Groups, which says that any such
From playlist Algebraic Topology
10/18/18 Konstantin Mischaikow
A Combinatorial/Algebraic Topological Approach to Nonlinear Dynamics
From playlist Fall 2018 Symbolic-Numeric Computing
Loop products, closed geodesics and self-intersections - Nancy Hingston
Workshop on Geometric Functionals: Analysis and Applications Topic: Loop products, closed geodesics and self-intersections Speaker: Nancy Hingston Affiliation: The College of New Jersey Date: March 6, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Augmentations, generating families and micro local sheaves by Michael G Sullivan
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
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
More on the sphere | Algebraic Topology 4 | NJ Wildberger
This is the fourth lecture of this beginner's course in Algebraic Topology given by N J Wildberger of UNSW. This lecture continues our discussion of the sphere, relating inversive geometry on the plane to the more fundamental inversive geometry of the sphere, introducing the Riemann sphere
From playlist Algebraic Topology
C. Gasbarri - Techniques d’algébrisation en géométrie analytique... (Part 2)
Abstract - Dans ce cours, nous nous proposons d’expliquer comment des théorèmes d’algébrisation classiques, concernant des variétés ou des faisceux cohérents analytiques, possèdent des avatars en géométrie formelle et en géométrie diophantienne. Nous mettrons l’accent sur les points commun
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
Henry Adams and Enrique Alvarado: An introduction to Morse theory
We give an introduction to Morse theory. Given a space equipped with a real-valued function, one can use Morse theory to produce a compact cellular model for that space. Furthermore, the cellular model reflects important properties of the function. We describe CW cell complexes, the Morse
From playlist Tutorials
É. Gaudron - Minima et pentes des espaces adéliques rigides (Part1)
Ce cours présente un abrégé de la théorie des minima et pentes successives des espaces adéliques rigides sur une extension algébrique du corps des nombres rationnels. Seront réunis dans un même tout une partie de la géométrie des nombres des ellipsoïdes de Minkowski, la théorie des pentes
From playlist Ecole d'été 2017 - Géométrie d'Arakelov et applications diophantiennes
Sections and unirulings of families over the projective line - Alex Pieloch
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Sections and unirulings of families over the projective line Speaker: Alex Pieloch Affiliation: Columbia Date: November 5, 2021 We will discuss the existence of rational (multi)sections and unirulings for pr
From playlist Mathematics
Karen Vogtmann, Lecture I - 10 February 2015
Karen Vogtmann (U. of Warwick, UK and Cornell University, USA) - Lecture I http://www.crm.sns.it/course/4037/ Automorphism groups of free groups bear similarities to both lattices in Lie groups and to surface mapping class groups. In this minicourse we will explore the cohomology of thes
From playlist Algebraic topology, geometric and combinatorial group theory - 2015
Cyclic homology and S1S1-equivariant symplectic cohomology - Sheel Ganatra
Sheel Ganatra Stanford University November 21, 2014 In this talk, we study two natural circle actions in Floer theory, one on symplectic cohomology and one on the Hochschild homology of the Fukaya category. We show that the geometric open-closed string map between these two complexes is S
From playlist Mathematics