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K Theory

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Explore algebraic and topological K-theory, C*-algebras, and their applications to geometry and category theory. Access advanced mathematics lectures from leading research institutes on YouTube, covering triangulated categories, group rings, and modern developments in this fundamental area of algebraic topology.

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Hausdorff Center for Mathematics
Algebraic vs Topological K-Theory - Lecture 1

Explore K-theory's applications in algebra, geometry, and number theory, comparing algebraic and topological K-theory for functional analytic rings and continuous function rings.
- YouTube
- 31 minutes
- On-Demand
- Free Video
International Mathematical Union
Alexander Efimov: On the K-Theory of Large Triangulated Categories

Explore Grothendieck groups, categorical localization, and continuous K-theory in large triangulated categories. Delve into higher algebraic K-theory, negative K-theory, and dualizable DG categories.
- YouTube
- 44 minutes
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Institut des Hautes Etudes Scientifiques (IHES)
Efimov K-theory and Its Applications to Complex Geometry - Lecture 3

Explore Efimov's extended algebraic K-theory, its broader categorical context, and applications to complex geometry in collaboration with Peter Scholze.
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Centre International de Rencontres Mathématiques
Coinvariants, Assembler K-Theory, and Scissors Congruence

Explore coinvariants, assembler K-theory, and scissors congruence in mathematics. Gain insights into advanced algebraic concepts and their geometric applications.
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Fields Institute
Graduate Course on K-Theory and C*-Algebras

Master advanced mathematical concepts in K-Theory and C*-Algebras through comprehensive graduate-level lectures from the Fields Institute's operator algebras program.
- YouTube
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Hausdorff Center for Mathematics
Thomas Nikolaus- K-Theory of Z-P^n and Relative Prismatic Cohomology

Explore K-theory computation for Z/p^n rings using prisms and prismatic cohomology. Learn about generalized prisms and their universal property in this advanced mathematical discussion.
- YouTube
- 52 minutes
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Hausdorff Center for Mathematics
A Farrell-Jones Isomorphism for Scissors Congruence K-Theory

Explore a new trace map in scissors congruence K-theory, its refinement, and its role in proving the Farrell-Jones isomorphism. Joint work with Mona Merling and Inna Zakharevich.
- YouTube
- 50 minutes
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Hausdorff Center for Mathematics
Algebraic vs. Topological K-Theory

Explore the comparison between algebraic and topological K-theory, focusing on specific rings and functional analytic applications in algebra, geometry, and number theory.
- YouTube
- 1 hour 6 minutes
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- Free Video
Hausdorff Center for Mathematics
Arthur Bartels: K-Theory of Group Rings

Exploring the Farrell-Jones Conjecture's prediction of K-theory for group rings, focusing on controlled algebra as a bridge between algebraic formulation and geometric proofs.
- YouTube
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Fields Institute
On the K-Theory of Z-P^n

Explore the intricate world of K-theory and its applications to Z/p^n, delving into advanced mathematical concepts and their implications in arithmetic and geometry.
- YouTube
- 49 minutes
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Fields Institute
K-Theory and C*-Algebras - Lecture 6

Explore advanced concepts in K-Theory and C*-Algebras with Professor George Elliott, delving into operator algebras and their applications in this graduate-level lecture.
- YouTube
- 48 minutes
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Fields Institute
K-Theory and C*-Algebras - Lecture 8

Explore advanced concepts in K-Theory and C*-Algebras with Professor George Elliott, delving into operator algebras and their applications in mathematics.
- YouTube
- 48 minutes
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- Free Video
Fields Institute
K-Theory and C*-Algebras - Lecture 19

Explore advanced concepts in K-Theory and C*-Algebras with Professor George Elliott, delving into operator algebras and their applications in mathematics.
- YouTube
- 52 minutes
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- Free Video
Fields Institute
K-Theory and C*-Algebras - Lecture 18

Explore advanced concepts in K-Theory and C*-Algebras with Professor George Elliott, delving into operator algebras and their applications in mathematics.
- YouTube
- 52 minutes
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- Free Video
Fields Institute
Correspondences, K-Theory and Homology for Étale Groupoids

Explore advanced mathematical concepts in étale groupoids, focusing on correspondences, K-theory, and homology. Gain insights from expert Alistair Miller in this specialized seminar.
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