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Blogs about: Homological Algebra

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Semi-abelian categories2 comments

Andreas Holmstrom wrote 1 month ago: The usual setting for doing homological algebra is abelian categories. However, many of the things o … more →

Tags: field with one element, Monoids, semi-abelian categories

Derived Functors

shallow33 wrote 1 month ago: While studying commutative algebra and module theory, you’ll eventually be introduced to proje … more →

Tags: Category Theory, derived functors, weibel, Dummit & Foote, functors, complexes, abelian categories

A hunka hunka burnin' knot homology19 comments

Ben Webster wrote 2 months ago: One of the conundra of mathematics in the age of the internet is when to start talking about your re … more →

Tags: category O, Category Theory, Combinatorics, link homology, low-dimensional topology, quantum groups, Representation Theory

The Witt group, or the cohomology of the periodic table of n-categories10 comments

Noah Snyder wrote 8 months ago: A very popular topic at the Modular Categories conference was the a generalization of the Witt group … more →

Tags: Category Theory, Conferences, quantum groups, Talks

Hall algebras and Donaldson-Thomas invariants I4 comments

Joel Kamnitzer wrote 8 months ago: I would like to tell you about recent work of Dominic Joyce and others (Bridgeland, Kontsevich-Soibe … more →

Tags: Algebraic Geometry, Conferences, quantum groups, Things I Don't Understand

Monads in mathematics 4 : the bar and cobar constructions

remyoudompheng wrote 9 months ago: The use of monads and comonads in homological algebra is as old as the theory: Godement’s stan … more →

Tags: English, Algebra., Algebraic Topology, Categories, monads in mathematics, cohomology, Algebraic Geometry, abelian category, Sheaves

Boij–Söderberg theory I: preliminaries

Steven Sam wrote 9 months ago: I wanted to say something about Boij–Söderberg theory. But before I can even explain what that means … more →

Tags: Algebraic Geometry, Betti tables, commutative algebra

Ten constructions of the cohomology of varieties4 comments

remyoudompheng wrote 9 months ago: When talking about “the” cohomology of mathematical objects, we do not always explicitly … more →

Tags: Algebra., algebraic geometry, Algebraic Topology, English, cohomology, Manifold, Topology, variety

Nicolas Bourbaki Junior on Homological Algebra1 comment

Nicolas Bourbaki Junior wrote 10 months ago: The first time I experienced derealisation was the most frightened I have ever been in my life. It h … more →

Tags: Nicolas Bourbaki Junior, Abstract Algebra, Algebra., Books, Education, homotopy, Linear Algebra, Math, mathematics

Fucking Concrete Contemporary Abstract Algebra Introduction 3 comments

Nicolas Bourbaki Junior wrote 10 months ago: People are always asking me why I’ve written Fuckin’ Concrete Contemporary Abstract Alge … more →

Tags: Nicolas Bourbaki Junior, Abstract Algebra, Algebra., Blogging, Bourbaki, homotopy, Math, mathematics, Nicolas Bourbaki

Nicolas Bourbaki Junior - On Homotopy Theory

Nicolas Bourbaki Junior wrote 10 months ago: Thus once you find fuckin‘ out what is causing the homotopy, it is no longer a homotopy, but it is a … more →

Tags: Nicolas Bourbaki, Abstract Algebra, Algebra., Blogging, Bourbaki, homotopy, Math, mathematics, Science

Nicolas Bourbaki Junior - On Homological Algebra1 comment

Nicolas Bourbaki Junior wrote 11 months ago: Let me fuckin’ remind you that freaky homological algebra is an unfucked abstract algebra concerned … more →

Tags: Nicolas Bourbaki, Algebra., mathematics, Math, Blog, Science, Abstract Algebra, Blogging, Bourbaki

Extensions of sheaves and the local-global spectral sequence

remyoudompheng wrote 11 months ago: GIven a topological space , algebraic topologists would sometimes be interested in sheaves over this … more →

Tags: algebraic geometry, Algebraic Topology, commutative algebra, cohomology, Extensions, gerbes, Local, Sheaves, spectral sequence

Extensions and homological algebra

remyoudompheng wrote 11 months ago: If you ever followed a course in algebra, you may have heard about extensions of “things … more →

Tags: commutative algebra, English, abelian category, baer sum, cohomology, Extension

Wood, glue, and the Octahedral Axiom1 comment

Alexander Ellis wrote 11 months ago: Arts and crafts and mathematics have met before. For instance, mathematical knitting isn’t new … more →

Tags: Algebra., triangulated categories, Arts and Crafts

What is cohomology?5 comments

Andreas Holmstrom wrote 12 months ago: Cohomology (or homology) means different things to different people. The common theme of all notions … more →

Tags: Cohomology theories in algebraic geometry, Algebraic Topology, cohomology

Shoulda Series 2: Resolving Ext18 comments

Alexander Ellis wrote 1 year ago: (Realistically, this post assumes familiarity with derived functors, chain complexes, and their homo … more →

Tags: shoulda series, Algebra., derived functors, ext:, Tor, homology, cohomology, morita equivalence

Đại số đồng điều

Đặng Tuấn Hiệp wrote 1 year ago: Đây là bài tiểu luận của Hiệp môn Đại số đồng điều của TS. Trần Huyên. Bạn nào thấy cần thì cứ tham … more →

Tags: Algebra.

Genius dies at 104

Tamal wrote 1 year ago: Henri Cartan Photo Courtesy: Russian Academy of Sciences, of which Cartan was a foreign member.   He … more →

Tags: Science & Technology, Algebra., american mathematical society, Aplied Mathematics, Bourbaki Group, Henri Cartan, Industrial Mathematics, Mathematical Society, mathematics


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