Topology

Periodic table of topological invariants

The periodic table of topological invariants is an application of topology to physics. It indicates the group of topological invariant for topological insulators and superconductors in each dimension and in each discrete symmetry class. (Wikipedia).

Video thumbnail

Lecture 14: The Definition of TC

In this video, we finally give the definition of topological cyclic homology. In fact, we will give two definitions: the first is abstract in terms of a mapping spectrum spectrum in cyclotomic spectra and then we unfold this to a concrete definition on terms of negative topological cyclic

From playlist Topological Cyclic Homology

Video thumbnail

Growth of topological invariants of locally symmetric spaces - Mikolaj Fraczyk

Short talks by postdoctoral members Topic:Growth of topological invariants of locally symmetric spaces. Speaker: Mikolaj Fraczyk Affiliation: Member, School of Mathematics Date: September 24 For more video please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Bertrand Eynard - An overview of the topological recursion

The "topological recursion" defines a double family of "invariants" $W_{g,n}$ associated to a "spectral curve" (which we shall define). The invariants $W_{g,n}$ are meromorphic $n$-forms defined by a universal recursion relation on $|\chi|=2g-2+n$, the initial terms $W_{0,1}$

From playlist ­­­­Physique mathématique des nombres de Hurwitz pour débutants

Video thumbnail

How to Construct Topological Invariants via Decompositions and the Symplectic Category - Wehrheim

Katrin Wehrheim Massachusetts Institute of Technology; Institute for Advanced Study October 17, 2011 A Lagrangian correspondence is a Lagrangian submanifold in the product of two symplectic manifolds. This generalizes the notion of a symplectomorphism and was introduced by Weinstein in an

From playlist Mathematics

Video thumbnail

Jørgen Ellegaard Andersen: Geometric Recursion

Abstract: Geometric Recursion is a very general machinery for constructing mapping class group invariants objects associated to two dimensional surfaces. After presenting the general abstract definition we shall see how a number of constructions in low dimensional geometry and topology fit

From playlist Topology

Video thumbnail

Definition of a Topological Space

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Topological Space

From playlist Topology

Video thumbnail

Hermann Schulz-Baldes: Invariants of disordered topological insulators

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 SPECIAL 7th European congress of Mathematics Berlin 2016.

Video thumbnail

Lecture 5: Periodic and cyclic homology

In this video, we construct periodic and cyclic homology and compute examples. Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture Homepage with further information: https://www.uni-muenster.de/IVV5WS/WebHop/user

From playlist Topological Cyclic Homology

Video thumbnail

Topologically Ordered Matter and Why You Should be Interested by Steven H. Simon

COLLOQUIUM TOPOLOGICALLY ORDERED MATTER AND WHY YOU SHOULD BE INTERESTED SPEAKER: Steven H. Simon (Oxford University, United Kingdom) DATE: Mon, 26 October 2020, 15:30 to 17:00 VENUE: Online ABSTRACT In two dimensional topologically ordered matter, processes depend on gross topology

From playlist ICTS Colloquia

Video thumbnail

Topological effects in metals - Moore

Joel Moore November 7, 2015 The recent advances in our understanding of topological states of free-fermion insulators give some valuable concepts and tools for the analysis of metals. The first part of this talk focuses on low-energy electrodynamic responses of simple metals, including th

From playlist Mathematics

Video thumbnail

Periodic Foams and Manifolds - Frank Lutz

Frank Lutz Technische Universitat Berlin March 2, 2011 WORKSHOP ON TOPOLOGY: IDENTIFYING ORDER IN COMPLEX SYSTEMS For more videos, visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Generating a second-order topological insulator with multiple corner states by Diptiman Sen

DISCUSSION MEETING : EDGE DYNAMICS IN TOPOLOGICAL PHASES ORGANIZERS : Subhro Bhattacharjee, Yuval Gefen, Ganpathy Murthy and Sumathi Rao DATE & TIME : 10 June 2019 to 14 June 2019 VENUE : Madhava Lecture Hall, ICTS Bangalore Topological phases of matter have been at the forefront of r

From playlist Edge dynamics in topological phases 2019

Video thumbnail

Curtis McMullen: Manifolds, topology and dynamics

Abstract: This talk will focus on two fields where Milnor's work has been especially influential: the classification of manifolds, and the theory of dynamical systems. To illustrate developments in these areas, we will describe how topological objects such as exotic spheres and strange at

From playlist Abel Lectures

Video thumbnail

Clément Maria (10/23/19): Parameterized complexity of quantum invariants of knots

Title: Parameterized complexity of quantum invariants of knots Abstract: We give a general fixed parameter tractable algorithm to compute quantum invariants of knots presented by diagrams, whose complexity is singly exponential in the carving-width (or the tree-width) of the knot diagram.

From playlist AATRN 2019

Video thumbnail

Bernardo Uribe: Axion insulators and their topological invariants

Talk by Bernardo Uribe in the Global Noncommutative Geometry Seminar (Americas) on November 18, 2022 https://globalncgseminar.org/talks/tba-38/

From playlist Global Noncommutative Geometry Seminar (Americas)

Video thumbnail

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

Video thumbnail

Topological entropy of Hamiltonian diffeomorphisms: a persistence homology and... - Erman Cineli

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: Topological entropy of Hamiltonian diffeomorphisms: a persistence homology and Floer theory perspective Speaker: Erman Cineli Date: February 25, 2022 In this talk I will introduce barcode entropy and discuss

From playlist Mathematics

Video thumbnail

Unlinked fixed points of Hamiltonian...spectral invariants - Sobhan Seyfaddini

Sobhan Seyfaddini Massachusetts Institute of Technology April 17, 2015 Hamiltonian spectral invariants have had many interesting and important applications in symplectic geometry. Inspired by Le Calvez's theory of transverse foliations for dynamical systems of surfaces, we introduce a new

From playlist Mathematics

Video thumbnail

Some aspects of non-equilibrium dynamics by Diptiman Sen (Part 3)

School on Current Frontiers in Condensed Matter Research URL: http://www.icts.res.in/program/cficmr16 DATES: Monday 20 Jun, 2016 - Wednesday 29 Jun, 2016 VENUE : Ramanujan Lecture Hall, ICTS Bangalore DESCRIPTION: Understanding strongly interacting quantum many body systems is one of

From playlist School on Current Frontiers in Condensed Matter Research

Related pages

Clifford algebra | Symmetry-protected topological order | Random matrix | Bott periodicity theorem | Topology | Brillouin zone