Stability of the set of quantum states - S. Weis - Workshop 2 - CEB T3 2017
Stephan Weis / 26.10.17 Stability of the set of quantum states A convex set C is stable if the midpoint map (x,y) - (x+y)/2 is open. For compact C the Vesterstrøm–O’Brien theorem asserts that C is stable if and only if the barycentric map from the set of all Borel probability measures to
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
Stable Homotopy Seminar, 8: The Stable Model Category of Spectra
We discuss the enrichment of spectra over spaces, and the compatibility of this enrichment with the model structure. Then we define the stable model structure by adding extra cofibrations to the levelwise model category of spectra, and restricting the weak equivalences to those maps which
From playlist Stable Homotopy Seminar
Manifolds 1.4 : Topological Properties
In this video, I introduce the fact that manifolds have a countable basis of precompact coordinate balls, are locally compact, are locally path connected, and are paracompact. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet Playlist : https://w
From playlist Manifolds
What is a Manifold? Lesson 5: Compactness, Connectedness, and Topological Properties
The last lesson covering the topological prep-work required before we begin the discussion of manifolds. Topics covered: compactness, connectedness, and the relationship between homeomorphisms and topological properties.
From playlist What is a Manifold?
What is a Manifold? Lesson 2: Elementary Definitions
This lesson covers the basic definitions used in topology to describe subsets of topological spaces.
From playlist What is a Manifold?
What is a Manifold? Lesson 4: Countability and Continuity
In this lesson we review the idea of first and second countability. Also, we study the topological definition of a continuous function and then define a homeomorphism.
From playlist What is a Manifold?
A stable arithmetic regularity lemma in finite (...) - C. Terry - Workshop 1 - CEB T1 2018
Caroline Terry (Maryland) / 01.02.2018 A stable arithmetic regularity lemma in finite-dimensional vector spaces over fields of prime order In this talk we present a stable version of the arithmetic regularity lemma for vector spaces over fields of prime order. The arithmetic regularity l
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
What is a Manifold? Lesson 14: Quotient Spaces
I AM GOING TO REDO THIS VIDEO. I have made some annotations here and annotations are not visible on mobile devices. STAY TUNED. This is a long lesson about an important topological concept: quotient spaces.
From playlist What is a Manifold?
Surfaces of Section, Anosov Reeb Flows, and the C2-Stability Conjecture for... - Marco Mazzucchelli
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar 9:15am|Remote Access Topic: Surfaces of Section, Anosov Reeb Flows, and the C2-Stability Conjecture for Geodesic Flows Speaker: Marco Mazzucchelli Affiliation: École Normale Supérieure de Lyon Date: March 03, 2023 In
From playlist Mathematics
The Hartman-Grobman Theorem, Structural Stability of Linearization, and Stable/Unstable Manifolds
This video explores a central result in dynamical systems: The Hartman-Grobman theorem. This theorem establishes when a fixed point of a nonlinear system will resemble its linearization. In particular, hyperbolic fixed points, where every eigenvalue has a non-zero real part, will be "str
From playlist Engineering Math: Differential Equations and Dynamical Systems
Minimality and stable ergodicity by Jana Rodriguez Hertz
PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.
From playlist Smooth And Homogeneous Dynamics
Johannes Ebert - Rigidity theorems for the diffeomorphism action on spaces of metrics of (...)
The diffeomorphism group $\mathrm{Diff}(M)$ of a closed manifold acts on the space $\mathcal{R}^+ (M)$ of positive scalar curvature metrics. For a basepoint $g$, we obtain an orbit map $\sigma_g: \mathrm{Diff}(M) \to \mathcal{R}^ (M)$ which induces a map $(\sigma_g)_*:\pi_*( \mathrm{Diff}(
From playlist Not Only Scalar Curvature Seminar
Minimal surface stability in higher codimension - Richard Schoen
Glimpses of Mathematics, Now and Then: A Celebration of Karen Uhlenbeck's 80th Birthday Topic: Minimal surface stability in higher codimension Speaker: Richard Schoen Affiliation: University of California, Irvine Date: September 16, 2022
From playlist Mathematics
On the existence of minimal Heegaard splittings - Dan Ketover
Variational Methods in Geometry Seminar Topic: On the existence of minimal Heegaard splittings Speaker: Dan Ketover Affiliation: Princeton University; Member, School of Mathematics Date: Oct 2, 2018 For more video please visit http://video.ias.edu
From playlist Variational Methods in Geometry
Otis Chodosh - Global uniqueness of large stable CMC surfaces in asymptotically flat 3 manifolds
Otis Chodosh Global uniqueness of large stable CMC surfaces in asymptotically flat 3 manifolds I will discuss recent work with M. Eichmair in which we prove uniqueness of large stable constant mean curvature surfaces in asymptotically flat 3-manifolds.
From playlist Maryland Analysis and Geometry Atelier
Periodic Orbits and Birkhoff Sections of Stable Hamiltonian Structures - Robert Cardona
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Periodic Orbits and Birkhoff Sections of Stable Hamiltonian Structures Speaker: Robert Cardona Affiliation: Instituto de Ciencias Matemáticas, Madrid Date: December 09, 2022 In this talk, we start by reviewin
From playlist Mathematics
Arun Debray - Stable diffeomorphism classification of some unorientable 4-manifolds
38th Annual Geometric Topology Workshop (Online), June 15-17, 2021 Arun Debray, The University of Texas at Austin Title: Stable diffeomorphism classification of some unorientable 4-manifolds Abstract: Kreck's modified surgery theory provides a bordism-theoretic classification of closed, c
From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
Stable Homotopy Seminar, 7: Constructing Model Categories
A stroll through the recognition theorem for cofibrantly generated model categories, using it to construct (1) the Quillen/Serre model structure on topological spaces and (2) the levelwise model structure on spectra. The latter captures the idea that spectra are sequences of spaces, but no
From playlist Stable Homotopy Seminar
H. Guenancia - A decomposition theorem for singular spaces with trivial canonical class (Part 2)
The Beauville-Bogomolov decomposition theorem asserts that any compact Kähler manifold with numerically trivial canonical bundle admits an étale cover that decomposes into a product of a torus, an irreducible, simply-connected Calabi-Yau, and holomorphic symplectic manifolds. With the deve
From playlist Ecole d'été 2019 - Foliations and algebraic geometry