Sergey Melikhov, Steklov Math Institute (Moscow) Title: Fine Shape Abstract: A shape theory is something which is supposed to agree with homotopy theory on polyhedra and to treat more general spaces by looking at their polyhedral approximations. Or if you prefer, it is something which is s
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
Two-dimensional objects--the torus and genus | Algebraic Topology 5 | NJ Wildberger
This is the 5th lecture of this beginners course in Algebraic Topology. We introduce some other surfaces: the cylinder, the torus or doughnut, and the n-holed torus. We define the genus of a surface in terms of maximal number of disjoint curves that do not disconnect it. We discuss how the
From playlist Algebraic Topology
Karen Vogtmann, Lecture I - 10 February 2015
Karen Vogtmann (U. of Warwick, UK and Cornell University, USA) - Lecture I http://www.crm.sns.it/course/4037/ Automorphism groups of free groups bear similarities to both lattices in Lie groups and to surface mapping class groups. In this minicourse we will explore the cohomology of thes
From playlist Algebraic topology, geometric and combinatorial group theory - 2015
Karen Vogtmann, Lecture II - 12 February 2015
Karen Vogtmann (U. of Warwick, UK and Cornell University, USA) - Lecture II http://www.crm.sns.it/course/4037/ Automorphism groups of free groups bear similarities to both lattices in Lie groups and to surface mapping class groups. In this minicourse we will explore the cohomology of thes
From playlist Algebraic topology, geometric and combinatorial group theory - 2015
Linearly Parametrized Curves | Algebraic Calculus One | Wild Egg
Parametrized curves figure prominently in the Algebraic Calculus, and they coincide with de Casteljau Bezier curves. The simplest case are the linearly parametrized curves given by a pair of linear polynomials of polynumbers. This gives us an alternate view of oriented polygonal splines.
From playlist Algebraic Calculus One
Group Actions and Group Representations in Low Dimensional Topology
Speakers; Anda Tenie Iris Rosenblum-Sellers Destine Lee Jakwanul Safin Group leader: Nick Salter (Faculty). Graduate Student Assistant: Maithreya Sitaraman. The classification of surfaces theorem can give the misleading impression that the topology of surfaces is a finished project. W
From playlist 2020 Summer REU Presentations
Moduli of connections on curves: some examples by Frank Loray
20 March 2017 to 25 March 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions between mathematics and theoretical physics, especially
From playlist Complex Geometry
Quadrance, perpendicularity and pedal curves | Algebraic Calculus One | Wild Egg
We want to introduce metrical structure into our affine setting, allowing us to access Euclidean geometry and physical applications. To do this logically and carefully, with precise definitions, we want to take the view point of Rational Trigonometry: with quadrance and perpendicularity pl
From playlist Algebraic Calculus One from Wild Egg
Two Terminal Charge Tunneling: A Sanity Check for Manjorana zero modes by Sumanta Tewari
Open Quantum Systems DATE: 17 July 2017 to 04 August 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore There have been major recent breakthroughs, both experimental and theoretical, in the field of Open Quantum Systems. The aim of this program is to bring together leaders in the Open Q
From playlist Open Quantum Systems
The Chiral Matter (Lecture 2) by Dima Kharzeev
DISCUSSION MEETING TOPOLOGICAL ASPECTS OF STRONG CORRELATIONS AND GAUGE THEORIES (ONLINE) ORGANIZERS: Rob Pisarski (Brookhaven National Laboratory, USA), Sumathi Rao (HRI, India), Soeren Schlichting (Bielefeld University, Germany) and Sayantan Sharma (IMSc, India) DATE: 06 September 202
From playlist Topological aspects of strong correlations and gauge theories (ONLINE)
M2-branes and Supersymmetric Chern-Simons Theories, Part 1 - Daniel Jafferis
M2-branes and Supersymmetric Chern-Simons Theories, Part 1 Daniel Jafferis Institute for Advanced Study July 23, 2010
From playlist PiTP 2010
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)
Lattice Supersymmetry II by Simon Catterall
Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography DATE:27 January 2018 to 03 February 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore The program "Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography" aims to
From playlist Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography
L13.4 Charged particles in EM fields: potentials and gauge invariance
MIT 8.06 Quantum Physics III, Spring 2018 Instructor: Barton Zwiebach View the complete course: https://ocw.mit.edu/8-06S18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60Zcz8LnCDFI8RPqRhJbb4L L13.4 Charged particles in EM fields: potentials and gauge invariance Lic
From playlist MIT 8.06 Quantum Physics III, Spring 2018
Thomas KRAJEWSKI - Connes-Kreimer Hopf Algebras...
Connes-Kreimer Hopf Algebras : from Renormalisation to Tensor Models and Topological Recursion At the turn of the millenium, Connes and Kreimer introduced Hopf algebras of trees and graphs in the context of renormalisation. We will show how the latter can be used to formulate the analogu
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
David Burguet: Some new dynamical applications of smooth parametrizations for C∞ systems - lecture 3
Smooth parametrizations of semi-algebraic sets were introduced by Yomdin in order to bound the local volume growth in his proof of Shub’s entropy conjecture for C∞ maps. In this minicourse we will present some refinement of Yomdin’s theory which allows us to also control the distortion. We
From playlist Dynamical Systems and Ordinary Differential Equations
Topology in statistical physics - 1 by Subhro Bhattacharjee
PROGRAM BANGALORE SCHOOL ON STATISTICAL PHYSICS - XI (ONLINE) ORGANIZERS: Abhishek Dhar and Sanjib Sabhapandit DATE: 29 June 2020 to 10 July 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the school will be conducted through o
From playlist Bangalore School on Statistical Physics - XI (Online)
Moduli of vector bundles on compact Riemann surfaces by M.S.Narasimhan
20 December 2016, 16:00 to 17:00 VENUE Ramanujan Lecture Hall, ICTS, Bangalore The theory of holomorphic vector bundles on a compact Riemann surface is a vast "non-abelian" generalisation of the classical theory of the Jacobian variety. The Jacobian, a complex torus, arose in the work of A
From playlist DISTINGUISHED LECTURES
Entanglement in QFT and Quantum Gravity (Lecture 3) by Tom Hartman
PROGRAM KAVLI ASIAN WINTER SCHOOL (KAWS) ON STRINGS, PARTICLES AND COSMOLOGY (ONLINE) ORGANIZERS Francesco Benini (SISSA, Italy), Bartek Czech (Tsinghua University, China), Dongmin Gang (Seoul National University, South Korea), Sungjay Lee (Korea Institute for Advanced Study, South Korea
From playlist Kavli Asian Winter School (KAWS) on Strings, Particles and Cosmology (ONLINE) - 2022