Algebraic geometry

Suslin homology

In mathematics, the Suslin homology is a homology theory attached to algebraic varieties. It was proposed by Suslin in 1987, and developed by Suslin and Voevodsky. It is sometimes called singular homology as it is analogous to the singular homology of topological spaces. By definition, given an abelian group A and a scheme X of finite type over a field k, the theory is given by where C is a free graded abelian group whose degree n part is generated by integral subschemes of , where is an n-simplex, that are finite and surjective over . (Wikipedia).

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Naive homology versus Suslin homology - Fabien Morel

Fabien Morel March 13, 2015 Workshop on Chow groups, motives and derived categories More videos on http://video.ias.edu

From playlist Mathematics

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Homomorphisms in abstract algebra

In this video we add some more definition to our toolbox before we go any further in our study into group theory and abstract algebra. The definition at hand is the homomorphism. A homomorphism is a function that maps the elements for one group to another whilst maintaining their structu

From playlist Abstract algebra

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Ivan Panin - 1/3 A Local Construction of Stable Motivic Homotopy Theory

Notes: https://nextcloud.ihes.fr/index.php/s/dDbMXEc36JQyKts V. Voevodsky [6] invented the category of framed correspondences with the hope to give a new construction of stable motivic homotopy theory SH(k) which will be more friendly for computational purposes. Joint with G. Garkusha we

From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory

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Ivan Panin 2/3 - A Local Construction of Stable Motivic Homotopy Theory

Notes: https://nextcloud.ihes.fr/index.php/s/dDbMXEc36JQyKts V. Voevodsky [6] invented the category of framed correspondences with the hope to give a new construction of stable motivic homotopy theory SH(k) which will be more friendly for computational purposes. Joint with G. Garkusha we

From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory

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Ivan Panin 3/3 - A Local Construction of Stable Motivic Homotopy Theory

Notes: https://nextcloud.ihes.fr/index.php/s/dDbMXEc36JQyKts V. Voevodsky [6] invented the category of framed correspondences with the hope to give a new construction of stable motivic homotopy theory SH(k) which will be more friendly for computational purposes. Joint with G. Garkusha we

From playlist Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory

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Georg Tamme: On excision in algebraic K-theory

The lecture was held within the framework of the Hausdorff Trimester Program: K-Theory and Related Fields. Georg Tamme: On excision in algebraic K-theory Abstract: I will present a new and direct proof of a result of Suslin saying that any Tor-unital ring satisfies excision in algebraic

From playlist HIM Lectures: Trimester Program "K-Theory and Related Fields"

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Commutative algebra 39 (Stably free modules)

This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We discuss the relation between stably free and free modules. We first give an example of a stably free module that is not fre

From playlist Commutative algebra

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Stable Homotopy Theory by Samik Basu

PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics

From playlist Dualities in Topology and Algebra (Online)

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Homotopy animation

An interesting homotopy (in fact, an ambient isotopy) of two surfaces.

From playlist Algebraic Topology

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Lie Groups and Lie Algebras: Lesson 34 -Introduction to Homotopy

Lie Groups and Lie Algebras: Introduction to Homotopy In order to proceed with Gilmore's study of Lie groups and Lie algebras we now need a concept from algebraic topology. That concept is the notion of homotopy and the Fundamental Group of a topological space. In this lecture we provide

From playlist Lie Groups and Lie Algebras

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Basic Homotopy Theory by Samik Basu

PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics

From playlist Dualities in Topology and Algebra (Online)

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Schemes 33: Vector bundles on the projective line

This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. We prove Grothendieck's theorem that all vector bundles over the projective line are sums of line bundles, and compare the category of vector bundles with the

From playlist Algebraic geometry II: Schemes

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Homotopy type theory: working invariantly in homotopy theory -Guillaume Brunerie

Short talks by postdoctoral members Topic: Homotopy type theory: working invariantly in homotopy theory Speaker: Guillaume Brunerie Affiliation: Member, School of Mathematics Date: September 26, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Mirna Džamonja: Universal א2-Aronszajn trees

Recorded during the meeting "XVI International Luminy Workshop in Set Theory" the September 14, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Au

From playlist Logic and Foundations

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Homotopy Group - (1)Dan Licata, (2)Guillaume Brunerie, (3)Peter Lumsdaine

(1)Carnegie Mellon Univ.; Member, School of Math, (2)School of Math., IAS, (3)Dalhousie Univ.; Member, School of Math April 11, 2013 In this general survey talk, we will describe an approach to doing homotopy theory within Univalent Foundations. Whereas classical homotopy theory may be des

From playlist Mathematics

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Algebraic Topology - 11.3 - Homotopy Equivalence

We sketch why that the homotopy category is a category.

From playlist Algebraic Topology

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Duality for Rabinowitz-Floer homology - Alex Oancea

IAS/PU-Montreal-Paris-Tel-Aviv Symplectic Geometry Topic: Duality for Rabinowitz-Floer homology Speaker: Alex Oancea Affiliation: Institut de Mathématiques de Jussieu-Paris Rive Gauche Date: May 27, 2020 For more video please visit http://video.ias.edu

From playlist PU/IAS Symplectic Geometry Seminar

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Irving Dai - Homology cobordism and local equivalence between plumbed manifolds

June 22, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry Recently constructed by Hendricks and Manolescu, involutive Heegaard Floer homology provides several new tools for studying the three-dimensional homol

From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry I

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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

Related pages

Singular homology