Burnside's Lemma (Part 1) - combining group theory and combinatorics
A result often used in math competitions, Burnside's lemma is an interesting result in group theory that helps us count things with symmetries considered, e.g. in some situations, we don't want to count things that can be transformed into one another by rotation different, like in this cas
From playlist Traditional topics, explained in a new way
Burnside's Lemma (Part 2) - combining math, science and music
Part 1 (previous video): https://youtu.be/6kfbotHL0fs Orbit-stabilizer theorem: https://youtu.be/BfgMdi0OkPU Burnside's lemma is an interesting result in group theory that helps us count things with symmetries considered, e.g. in some situations, we don't want to count things that can be
From playlist Traditional topics, explained in a new way
Linear Algebra 6g: Linear Dependence Example 3 - Geometric Vectors
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications
Review of Decomposition by the Dot Product
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 4 Linear Algebra: Inner Products
Regularity lemma and its applications Part I - Fan Wei
Computer Science/Discrete Mathematics Seminar II Topic: Regularity lemma and its applications Part I Speaker: Fan Wei Affiliation: Member, School of Mathematics Dater: December 3, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
This lecture is part of an online course on rings and modules. We continue the previous lecture on complete rings by discussing Hensel's lemma for finding roots of polynomials over p-adic rings or over power series rings. We sketch two proofs, by slowly improving a root one digit at a tim
From playlist Rings and modules
Charles Fefferman : Whitney problems and real algebraic geometry
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 Analysis and its Applications
Linear Algebra 2n: Spanning Sets
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications
Lie Groups and Lie Algebras: Lesson 41: Elementary Representation Theory I
Lie Groups and Lie Algebras: Lesson 41: Elementary Representation Theory I I wanted to begin a more intricate example of the principle of a Universal Covering group, but I think I need to cover a little background material. We need to get a grip on what is meant by "Representation Theory"
From playlist Lie Groups and Lie Algebras
Shmuel Weinberger (5/10/22): PH(X^Y) and the geometry of function spaces
The homology of function spaces is a central topic in algebraic topology. What about their persistent homology? I will focus on a few examples where geometric considerations shed light.
From playlist Bridging Applied and Quantitative Topology 2022
From playlist Mathematics
Gromov–Witten Invariants and the Virasoro Conjecture (Remote Talk) by Ezra Getzler
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
Max Wakefield, Research talk - 9 February 2015
Max Wakefield (United States Naval Academy) - Research talk http://www.crm.sns.it/course/4049/ We study a few different perspectives (combinatorics, geometry, and algebra) of a new polynomial attached to a matroid. First we define the polynomial combinatorially and compute it for certain
From playlist Algebraic topology, geometric and combinatorial group theory - 2015
Pascal Auscher: On representation for solutions of boundary value problems for elliptic systems (2)
In order to extend the first order approach to BVP with Lp data in the sense of Kenig-Pipher, we need to extend our semigroups to Lp setting. Unfortunately, our semigroups are seldom bounded on all of Lp. They turn out to be bounded on some abstract Hardy spaces associated to a first order
From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"
Luis Scoccola (5/3/21): Approximate and discrete vector bundles
Synchronization problems, such as the problem of reconstructing a 3D shape from a set of 2D projections, can often be modeled by principal bundles. Similarly, the application of local PCA to a point cloud concentrated around a manifold approximates the tangent bundle of the manifold. In th
From playlist TDA: Tutte Institute & Western University - 2021
Lagrangian Whitney sphere links - Ivan Smith
Princeton/IAS Symplectic Geometry Seminar Topic: Lagrangian Whitney sphere links Speaker: Ivan Smith Affiliation: University of Cambridge Date: Novmeber 1, 2016 For more video, visit http://video.ias.edu
From playlist Mathematics
Integer-valued Gromov-Witten type invariants - Guangbo Xu
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Integer-valued Gromov-Witten type invariants Speaker: Guangbo Xu Affiliation: Texas A&M University Date: June 03, 2022 Gromov-Witten invariants for a general target are rational-valued but not necessarily int
From playlist Mathematics
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 4 Linear Algebra: Inner Products