Topology 1.3 : Basis for a Topology
In this video, I define what a basis for a topology is. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Topology
Commutative algebra 31 (Nullstellensatz)
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We describe the weak and strong Nullstellensatz, and give short proofs of them over the complex numbers using Rabinowitsch's
From playlist Commutative algebra
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
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
Every Subset of the Discrete Topology has No Limit Points Proof
Every Subset of the Discrete Topology has No Limit Points Proof If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Topology
Topology 1.1 : Open Sets of Reals
In this video, I give a definition of the open sets on the real numbers. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Topology
Christian Gaetz: "Antichains and intervals in the weak order"
Asymptotic Algebraic Combinatorics 2020 "Antichains and intervals in the weak order" Christian Gaetz - Massachusetts Institute of Technology Abstract: The weak order is the partial order on the symmetric group S_n (or other Coxeter group) whose cover relations correspond to simple transp
From playlist Asymptotic Algebraic Combinatorics 2020
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
Ieke Moerdijk: An Introduction to Dendroidal Topology
Talk by Ieke Moerdijk in the Global Noncommutative Geometry Seminar (Americas) https://globalncgseminar.org/talks/an-introduction-to-dendroidal-topology/ on April 23, 2021.
From playlist Global Noncommutative Geometry Seminar (Americas)
Markus Haase : Operators in ergodic theory - Lecture 3 : Compact semigroups and splitting theorems
Abstract : The titles of the of the individual lectures are: 1. Operators dynamics versus base space dynamics 2. Dilations and joinings 3. Compact semigroups and splitting theorems Recording during the thematic meeting : "Probabilistic Aspects of Multiple Ergodic Averages " the December 8
From playlist Dynamical Systems and Ordinary Differential Equations
Hermann Schulz-Baldes: Computational K-theory via the spectral localizer.
Talk by Hermann Schulz-Baldes in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on March 24, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)
Sébastien Boucksom: Variational and non-Archimedean aspects of the Yau-Tian-Donaldson conjecture
Abstract: I will discuss some recent developments in the direction of the Yau-Tian-Donaldson conjecture, which relates the existence of constant scalar curvature Kähler metrics to the algebro-geometric notion of K-stability. The emphasis will be put on the use of pluripotential theory and
From playlist Algebraic and Complex Geometry
Kähler–Einstein metrics on Fano manifolds: variational and algebro-geometric – S. Boucksom – ICM2018
Algebraic and Complex Geometry | Analysis and Operator Algebras Invited Lecture 4.1 | 8.1 Kähler–Einstein metrics on Fano manifolds: variational and algebro-geometric aspects Sébastien Boucksom Abstract: I will describe a variational approach to the existence of Kähler–Einstein metrics o
From playlist Algebraic & Complex Geometry
Viviane Baladi: Transfer operators for Sinai billiards - lecture 2
We will discuss an approach to the statistical properties of two-dimensional dispersive billiards (mostly discrete-time) using transfer operators acting on anisotropic Banach spaces of distributions. The focus of this part will be our recent work with Mark Demers on the measure of maximal
From playlist Analysis and its Applications
Notwithstanding the fact that I introduce the topic as the orbit stabilizer syndrome, this video takes you through the orbit stabilizer theorem. :-) It states that the number of cosets formed by the stabilizer of a group (called the index) is the same as the number of elements in the orbi
From playlist Abstract algebra
Introduction to Homotopy Theory- PART 2: (TOPOLOGICAL) HOMOTOPY
We move on to the second section of nLab's introduction to homotopy theory, homotopy. Topics covered include left/right homotopy, topolocial path/cylinder objects, homotopy groups, and weak/standard homotopy equivalences. PLEASE leave any misconceptions I had or inaccuracies in my video i
From playlist Introduction to Homotopy Theory
DEFCON 13: A New Hybrid Approach for Infrastructure Discovery, Monitoring and Control
Speaker: A New Hybrid Approach for Infrastructure Discovery, Monitoring and Control Ofir Arkin, CTO and Co-Founder, Insightix An enterprise IT infrastructure is a complex and a dynamic environment that is generally described as a black hole by its IT managers. The knowledge about an en
From playlist DEFCON 13
Charles Weibel: K-theory of algebraic varieties (Lecture 1)
The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Charles Weibel: K theory of algebraic varieties Abstract: Lecture 1 will present definitions for the Waldhausen K-theory of rings, varieties, additive and exact categories, and dg c
From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"