Higher Algebra 12: The Tate construction
In this video we introduce the Tate construction and especially Tate spectra. This is defined as the cofibre of a certain norm map, which we introduced for completely general group objects and stable infinity categories. We then also explain what it has to do with Poncaré duality and that
From playlist Higher Algebra
Topology (What is a Topology?)
What is a Topology? Here is an introduction to one of the main areas in mathematics - Topology. #topology Some of the links below are affiliate links. As an Amazon Associate I earn from qualifying purchases. If you purchase through these links, it won't cost you any additional cash, b
From playlist Topology
Matthew Morrow - A crystalline variational Tate conjecture
I will discuss the formulation of a variational Tate conjecture for smooth, proper families of varieties in characteristic p in terms of crystalline cycle classes, and explain the proof of the conjecture for line bundles. A key new tool is a recent continuity theorem in topological cyclic
From playlist Journées de géométrie arithmétique de l'IHÉS
I define closed sets, an important notion in topology and analysis. It is defined in terms of limit points, and has a priori nothing to do with open sets. Yet I show the important result that a set is closed if and only if its complement is open. More topology videos can be found on my pla
From playlist Topology
Algebraic Topology - 5.1 - Mappings Spaces and the Compact Open Topology
We define the compact open topology on mapping spaces.
From playlist Algebraic Topology
In this video, I introduce the order topology and prove that it is Hausdorff. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Topology
Topology 1.7 : More Examples of Topologies
In this video, I introduce important examples of topologies I didn't get the chance to get to. This includes The discrete and trivial topologies, subspace topology, the lower-bound and K topologies on the reals, the dictionary order, and the line with two origins. I also introduce (again)
From playlist Topology
Topology 1.4 : Product Topology Introduction
In this video, I define the product topology, and introduce the general cartesian product. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Topology
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
Lecture 12: Topological periodic homology
In this video, we introduce another refinement of THH, the topological periodic homology TP. We see how it is an analogue of HP, how it is related to negative cyclic homology, and how to compute it for the field F_p. Feel free to post comments and questions at our public forum at https:/
From playlist Topological Cyclic Homology
Teena Gerhardt - 2/3 Algebraic K-theory and Trace Methods
Algebraic K-theory is an invariant of rings and ring spectra which illustrates a fascinating interplay between algebra and topology. Defined using topological tools, this invariant has important applications to algebraic geometry, number theory, and geometric topology. One fruitful approac
From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory
Lecture 13: The Cyclotomic Structure
In this video, we introduce the cyclotomic structure on THH. This is a map from THH to the Tate-C_p-construction of THH. This structure is specific to THH and does not exist on ordinary Hochschild homology. Feel free to post comments and questions at our public forum at https://www.uni-m
From playlist Topological Cyclic Homology
Gluing is a good method to construct new topological spaces from known ones. Here a rectangles is glued along the edges to form a torus. Often the fundamental group of the glued object can be calculated from the pieces (here a rectangles) and the glue (here two intersecting circles). Th
From playlist Algebraic Topology
Knots, three-manifolds and instantons – Peter Kronheimer & Tomasz Mrowka – ICM2018
Plenary Lecture 11 Knots, three-manifolds and instantons Peter Kronheimer & Tomasz Mrowka Abstract: Over the past four decades, input from geometry and analysis has been central to progress in the field of low-dimensional topology. This talk will focus on one aspect of these developments
From playlist Plenary Lectures
Introduction to p-adic Hodge theory (Lecture 2) by Denis Benois
PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath
From playlist Perfectoid Spaces 2019
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
Moduli of p-divisible groups (Lecture 1) by Ehud De Shalit
PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath
From playlist Perfectoid Spaces 2019
Distribution properties of Hodge and Tate loci - Salim Tayou
Short Talks by Postdoctoral Members Distribution properties of Hodge and Tate loci Salim Tayou Member, School of Mathematics Date: January 28, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Topology 1.3 : Basis for a Topology
In this video, I define what a basis for a topology is. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet
From playlist Topology