Math 131 092116 Properties of Compact Sets
Properties of compact sets. Compact implies closed; closed subsets of compact sets are compact; collections of compact sets that satisfy the finite intersection property have a nonempty intersection; infinite subsets of compact sets must have a limit point; the infinite intersection of ne
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis
Math 131 Fall 2018 100318 Heine Borel Theorem
Definition of limit point compactness. Compact implies limit point compact. A nested sequence of closed intervals has a nonempty intersection. k-cells are compact. Heine-Borel Theorem: in Euclidean space, compactness, limit point compactness, and being closed and bounded are equivalent
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis (Fall 2018)
Sergei Konyagin: On sum sets of sets having small product set
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 Combinatorics
Versality for the relative Fukaya category - Nick Sheridan
Speaker: Nick Sheridan Title: Versality for the relative Fukaya category Affiliation: IAS Date: November 9, 2016 For more video, visit http://video.ias.edu
From playlist Mathematics
Alexander HULPKE - Computational group theory, cohomology of groups and topological methods 3
The lecture series will give an introduction to the computer algebra system GAP, focussing on calculations involving cohomology. We will describe the mathematics underlying the algorithms, and how to use them within GAP. Alexander Hulpke's lectures will being with some general computation
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
Clément Dell’aiera - Paires de Hecke et K-théorie
Introduites par Shimura en théorie des nombres dans les années 50, les paires de Hecke sont des inclusions de sous-groupes qui sont presque normales : leurs conjugués sont tous commensurables. À une paire de Hecke est associée un groupe localement compact totalement discontinu : sa complét
From playlist Annual meeting “Arbre de Noël du GDR Géométrie non-commutative”
The Computational Complexity of Geometric Topology Problems - Greg Kuperberg
Greg Kuperberg University of California, Davis September 24, 2012 This talk will be a partial survey of the first questions in the complexity theory of geometric topology problems. What is the complexity, or what are known complexity bounds, for distinguishing n-manifolds for various n? Fo
From playlist Mathematics
Markus Pflaum: The transverse index theorem for proper cocompact actions of Lie groupoids
The talk is based on joint work with H. Posthuma and X. Tang. We consider a proper cocompact action of a Lie groupoid and define a higher index pairing between invariant elliptic differential operators and smooth groupoid cohomology classes. We prove a cohomological index formula for this
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Paolo Piazza: The Novikov conjecture on stratified spaces
A Cheeger space is a smoothly stratified pseudomanifold which is in general non-Witt but that admits an additional structure along the strata that allows for the definition of ideal boundary conditions. An interesting example is given by the reductive Borel-Serre compactification of a Hilb
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Quantum cohomology as a deformation of symplectic cohomology - Nicolas Sheridan
IAS/PU-Montreal-Paris-Tel-Aviv Symplectic Geometry Topic: Quantum cohomology as a deformation of symplectic cohomology Speaker: Nicolas Sheridan Affiliation: University of Edinburgh Date: November 13, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Quasimap Floer cohomology and singular symplectic quotients - Chris Woodward
Chris Woodward Simons Center/Rutgers May 9, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Ariyan Javanpeykar: Arithmetic and algebraic hyperbolicity
Abstract: The Green-Griffiths-Lang-Vojta conjectures relate the hyperbolicity of an algebraic variety to the finiteness of sets of “rational points”. For instance, it suggests a striking answer to the fundamental question “Why do some polynomial equations with integer coefficients have onl
From playlist Algebraic and Complex Geometry
The Arnold conjecture via Symplectic Field Theory polyfolds -Ben Filippenko
Symplectic Dynamics/Geometry Seminar Topic: The Arnold conjecture via Symplectic Field Theory polyfolds Speaker: Ben Filippenko Affiliation: University of California, Berkeley Date: April 1, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Constructing group actions on quasi-trees – Koji Fujiwara – ICM2018
Topology Invited Lecture 6.12 Constructing group actions on quasi-trees Koji Fujiwara Abstract: A quasi-tree is a geodesic metric space quasi-isometric to a tree. We give a general construction of many actions of groups on quasi-trees. The groups we can handle include non-elementary hype
From playlist Topology
Leonid Polterovich: Persistence modules and Hamiltonian diffeomorphisms - Part 3
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 Geometry
Enric Ventura: The degree of commutativity of an infinite group
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 Algebra
Leonid Polterovich: Persistence modules and Hamiltonian diffeomorphisms - Part 2
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 Geometry
Leonid Polterovich: Persistence modules and Hamiltonian diffeomorphisms - Part 1
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 Geometry
K-theory and actions on Euclidean retracts – Arthur Bartels – ICM2018
Topology Invited Lecture 6.8 K-theory and actions on Euclidean retracts Arthur Bartels Abstract: This note surveys axiomatic results for the Farrell–Jones Conjecture in terms of actions on Euclidean retracts and applications of these to GL_n(ℤ), relative hyperbolic groups and mapping cla
From playlist Topology
Leonid Polterovich: Persistence modules and Hamiltonian diffeomorphisms - Part 4
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 Geometry