Algebraic topology: Introduction
This lecture is part of an online course on algebraic topology. This is an introductory lecture, where we give a quick overview of some of the invariants of algebraic topology (homotopy groups, homology groups, K theory, and cobordism). The book "algebraic topology" by Allen Hatcher men
From playlist Algebraic topology
Noncommutative algebraic varieties, their properties and geometric realizations II - Dmitry Orlov
Homological Mirror Symmetry Topic: Noncommutative algebraic varieties, their properties and geometric realizations II Speaker: Dmitry Orlov Affiliation: Mathematical Institute, Russian Academy of Sciences; Member, School of Mathematics Date: February 3, 2017 For more video, visit http:/
From playlist Mathematics
AlgTopReview4: Free abelian groups and non-commutative groups
Free abelian groups play an important role in algebraic topology. These are groups modelled on the additive group of integers Z, and their theory is analogous to the theory of vector spaces. We state the Fundamental Theorem of Finitely Generated Commutative Groups, which says that any such
From playlist Algebraic Topology
Iakovos Androulidakis: The Heisenberg calculus of singular Lie filtration
Talk by Iakovos Androulidakis in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on December 9, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
Differential Isomorphism and Equivalence of Algebraic Varieties Board at 49:35 Sum_i=1^N 2/(x-phi_i(y,t))^2
From playlist Fall 2017
Noncommutative algebraic varieties, their properties... - Dmitry Orlov Steklov
Homological Mirror Symmetry (minicourse) Topic: Noncommutative algebraic varieties, their properties and geometric realizations Speaker: Dmitry Orlov Steklov Affiliation: Mathematical Institute, Russian Academy of Sciences; Member, School of Mathematics Date: February 1, 2017 For more vi
From playlist Mathematics
Sergey Shadrin: Arnold's trinity of algebraic 2d gravitation theories
Talk at the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: “Arnold’s trinities” refers to a metamathematical observation of Vladimir Arnold that many interesting mathematical concepts and theories occur in triples, with some
From playlist Noncommutative geometry meets topological recursion 2021
Dennis Gaitsgory - Tamagawa Numbers and Nonabelian Poincare Duality, II [2013]
Dennis Gaitsgory Wednesday, August 28 4:30PM Tamagawa Numbers and Nonabelian Poincare Duality, II Gelfand Centennial Conference: A View of 21st Century Mathematics MIT, Room 34-101, August 28 - September 2, 2013 Abstract: This will be a continuation of Jacob Lurie’s talk. Let X be an al
From playlist Number Theory
Jacob Lurie - Tamagawa Numbers and Nonabelian Poincare Duality, I [2013]
Jacob Lurie Wednesday, August 28 3:10PM Tamagawa Numbers and Nonabelian Poincare Duality, I Gelfand Centennial Conference: A View of 21st Century Mathematics MIT, Room 34-101, August 28 - September 2, 2013 Abstract: Let q and q0 be positive definite integral quadratic forms. We say that
From playlist Number Theory
Stefan Kebekus: Nonabelian Hodge correspondences for klt varieties and quasi-etale uniformisation
Abstract: Simpson’s classic nonabelian Hodge correspondence establishes an equivalence of categories between local systems on a projective manifold, and certain Higgs sheaves on that manifold. This talk surveys recent generalisations of Simpson’s correspondence to the context of projective
From playlist Algebraic and Complex Geometry
A nonabelian Brunn-Minkowski inequality - Ruixiang Zhang
Members’ Seminar Topic: A nonabelian Brunn-Minkowski inequality Speaker: Ruixiang Zhang Affiliation: University of Wisconsin-Madison; Member, School of Mathematics Date: January 25, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Noncommutative algebraic varieties, their properties and geometric realizations III - Dmitry Orlov
Topic: Noncommutative algebraic varieties, their properties and geometric realizations II Speaker: Dmitry Orlov Affiliation: Mathematical Institute, Russian Academy of Sciences; Member, School of Mathematics Date: February 8, 2017 For more video, visit http://video.ias.edu
From playlist Mathematics
AlgTop1: One-dimensional objects
This is the first lecture of this beginner's course in Algebraic Topology (after the Introduction). In it we introduce the two basic one-dimensional objects: the line and circle. The latter has quite a few different manifestations: as a usual Euclidean circle, as the projective line of one
From playlist Algebraic Topology: a beginner's course - N J Wildberger
David Roberts, Hurwitz Belyi maps
VaNTAGe seminar, October 12, 2021 License: CC-BY-NC-SA
From playlist Belyi maps and Hurwitz spaces
Study of the nonabelian Hodge correspondence at infinity (Lecture 4) by Carlos Simpson
INFOSYS-ICTS RAMANUJAN LECTURES EXPLORING MODULI SPEAKER: Carlos Simpson (Université Nice-Sophia Antipolis, France) DATE: 10 February 2020 to 14 February 2020 VENUE: Madhava Lecture Hall, ICTS Campus Lecture 1: Exploring Moduli: basic constructions and examples 4 PM, 10 February 2020
From playlist Infosys-ICTS Ramanujan Lectures
Simple Group 168 - Sylow Theory - Part 2
Note: Part 5 goes off the rails; I can't just assume the subgroup we choose normalizes H_2 a priori. We can still fix with elementary methods and the occasional lucky break. Fix for Part 5 (2:15) - disregard table: Key to note is that there are no elements of orders 6, 14, or 21 (s
From playlist Abstract Algebra
AlgTopReview: An informal introduction to abstract algebra
This is a review lecture on some aspects of abstract algebra useful for algebraic topology. It provides some background on fields, rings and vector spaces for those of you who have not studied these objects before, and perhaps gives an overview for those of you who have. Our treatment is
From playlist Algebraic Topology
Stable Representation Theory and Spaces of Flat Connections by Daniel Ramras
Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio
From playlist Higgs Bundles