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
The geometric series.
From playlist Advanced Calculus / Multivariable Calculus
Topology 1.7 : More Examples of Topologies
In this video, I introduce important examples of topologies I didn't get the chance to get to. This includes The discrete and trivial topologies, subspace topology, the lower-bound and K topologies on the reals, the dictionary order, and the line with two origins. I also introduce (again)
From playlist Topology
Algebraic geometric codes and their applications - Gil Cohen
Computer Science/Discrete Mathematics Seminar Topic: Algebraic geometric codes and their applications Speaker: Gil Cohen Affiliation: Princeton University For more videos, visit http://video.ias.edu
From playlist Mathematics
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
Geometry - Basic Terminology (1 of 34) Definition of Points and Lines
Visit http://ilectureonline.com for more math and science lectures! In this video I will define and give examples of points and lines. Next video in the Basic Terminology series can be seen at: http://youtu.be/kziFbJMWjUY
From playlist GEOMETRY 1 - BASIC TERMINOLOGY
Robust dynamics, invariant structures and topological classification – Rafael Potrie – ICM2018
Dynamical Systems and Ordinary Differential Equations Invited Lecture 9.11 Robust dynamics, invariant structures and topological classification Rafael Potrie Abstract: Robust dynamical properties imply invariant geometric structures. We will survey the recent advances on topological clas
From playlist Dynamical Systems and ODE
Charles Rezk - 4/4 Higher Topos Theory
Course at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/RezkNotesToposesOnlinePart4.pdf In this series of lectures I will give an introduction to the concept of "infinity
From playlist Toposes online
In this video I talk about an amazing book written by two legendary mathematicians. The book is called "What is Mathematics?" and it was written by Richard Courant and Herbert Robbins. I talk about various sections in this book and spend a lot of time talking about the Mathematical Analysi
From playlist Book Reviews
Frédéric Chazal interviewed by Steve Oudot (September 14, 2022)
Frédéric Chazal interviewed by Steve Oudot (September 14, 2022) For more on the interview series, along with the advertisement posters, please see https://www.aatrn.net/interviews
From playlist AATRN Interviews
Olivia Caramello - 2/4 Introduction to sheaves, stacks and relative toposes
Course at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/CaramelloSlidesToposesOnline.pdf This course provides a geometric introduction to (relative) topos theory. The fir
From playlist Toposes online
Laurent Lafforgue - 1/4 Classifying toposes of geometric theories
Course at the school and conference “Toposes online” (24-30 June 2021): https://aroundtoposes.com/toposesonline/ Slides: https://aroundtoposes.com/wp-content/uploads/2021/07/LafforgueSlidesToposesOnline.pdf The purpose of these lectures will be to present the theory of classifying topose
From playlist Toposes online
The geometry of surfaces | Algebraic Topology | NJ Wildberger
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
Nonetheless one should learn the language of topos: Grothendieck... - Colin McLarty [2018]
Grothendieck's 1973 topos lectures Colin McLarty 3 mai 2018 In the summer of 1973 Grothendieck lectured on several subjects in Buffalo NY, and these lectures were recorded, including 33 hours on topos theory. The topos lectures were by far the most informal of the series, with the most si
From playlist Number Theory
AlgTopReview: An informal introduction to abstract algebra
This is a review lecture on some aspects of abstract algebra useful for algebraic topology. It provides some background on fields, rings and vector spaces for those of you who have not studied these objects before, and perhaps gives an overview for those of you who have. Our treatment is
From playlist Algebraic Topology
Geometry of Surfaces - Topological Surfaces Lecture 1 : Oxford Mathematics 3rd Year Student Lecture
This is the first of four lectures from Dominic Joyce's 3rd Year Geometry of Surfaces course. The four lectures cover topological surfaces and conclude with a big result, namely the classification of surfaces. This lecture provides an introduction to the course and to topological surfaces.
From playlist Oxford Mathematics Student Lectures - Geometry of Surfaces
Even spaces and motivic resolutions - Michael Hopkins
Vladimir Voevodsky Memorial Conference Topic: Even spaces and motivic resolutions Speaker: Michael Hopkins Affiliation: Harvard University Date: September 13, 2018 For more video please visit http://video.ias.edu
From playlist Mathematics
Lecture 1: Invitation to topos theory
This talk introduces the motivating question for this semester of the Curry-Howard seminar, which is how to organise mathematical knowledge using topoi. The approach sketched out in the talk is via first-order theories, their associated classifying topoi, and adjoint pairs of functors betw
From playlist Topos theory seminar
Algebraic Topology - 5.1 - Mappings Spaces and the Compact Open Topology
We define the compact open topology on mapping spaces.
From playlist Algebraic Topology