Algebraic K-theory Courses and Certifications

Institut des Hautes Etudes Scientifiques (IHES)

Recent Advances in Algebraic K-theory - 2023 Summer School

Dive into cutting-edge developments in algebraic K-theory through expert lectures on prismatic cohomology, motivic homotopy theory, and localization theorems at this intensive IHES summer school.

• YouTube
• 1 day 9 hours 25 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Localizing Invariants and Algebraic K-theory - Part 1

Explore localizing invariants in algebraic K-theory, from classical foundations to recent developments, with emphasis on descent properties and applications.

• YouTube
• 1 hour 21 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Algebraic K-theory and Chromatic Homotopy Theory - Lecture 3

Delve into advanced mathematical concepts exploring the intersection of algebraic K-theory and chromatic homotopy theory, from fundamental theorems to recent developments in spectral analysis and topology.

• YouTube
• 2 hours
• On-Demand
• Free Video

Hausdorff Center for Mathematics

On Excision in Algebraic K-Theory

Explore advanced algebraic K-theory concepts, focusing on Suslin's excision theorem for Tor-unital rings and its extension to connective ring spectra and localizing invariants.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Algebraic K-Theory and Descent for Blow-Ups - Lecture 1

Explore algebraic K-theory and descent for blow-ups, focusing on pro-descent for infinitesimal thickenings and its implications for Weibel's conjecture on negative K-groups.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

The Transfer in Algebraic K-Theory and THH

Explore algebraic K-theory transfers, their applications in A-theory, and connections to THH. Gain insights into fundamental questions and trace methods in this advanced mathematics lecture.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Fields Institute

Trace Methods in Algebraic K-Theory

Explore trace methods in algebraic K-theory, focusing on cyclotomic trace and topological cyclic homology. Learn about recent advances and applications in chromatic homotopy theory.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Fields Institute

Applications of Topological Cyclic Homology in Algebraic K-Theory

Explore topological cyclic homology's applications in algebraic K-theory, covering key developments, impacts on number theory, and recent advancements in the field.

• YouTube
• 57 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Localizing Invariants and Algebraic K-theory - Lecture 3

Explore localizing invariants in algebraic K-theory, including Thomason's insights, descent properties, and recent developments in the field.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

Global Noncommutative Geometry Seminar

Ample Groupoids, Topological Full Groups, Algebraic K-Theory Spectra and Infinite Loop Spaces

Explore ample groupoids, topological full groups, and their connections to algebraic K-theory spectra and infinite loop spaces in this advanced mathematics seminar.

• YouTube
• 58 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Algebraic K-theory and Chromatic Homotopy Theory - Lecture 4

Delve into advanced mathematical concepts connecting algebraic K-theory with chromatic homotopy theory, exploring redshift phenomena and the resolution of the telescope conjecture through four comprehensive lectures.

• YouTube
• 2 hours 5 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Algebraic K-theory and Chromatic Homotopy Theory - Lecture 1

Delve into advanced mathematical concepts exploring the intersection of algebraic K-theory and chromatic homotopy theory, from spectra organization to Ravenel's conjectures and redshift phenomena.

• YouTube
• 1 hour 58 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Algebraic K-theory and Chromatic Homotopy Theory - Lecture 2

Delve into advanced mathematical concepts exploring the intersection of algebraic K-theory and chromatic homotopy theory, focusing on descent principles and the Lichtenbaum-Quillen property.

• YouTube
• 1 hour 59 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Multiple Polylogarithms, Algebraic K-Theory, and the Steinberg Module

Explore the connections between multiple polylogarithms, algebraic K-theory, and the Steinberg module in this advanced mathematical seminar examining recent progress in the Goncharov program.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

The Bloch-Esnault-Kerz Fiber Square in p-adic Hodge Theory

Explore the Bloch-Esnault-Kerz theorem, Beilinson's generalization, and Clausen's proposal for defining the Hodge-Tate period map in p-adic Hodge theory and algebraic K-theory.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video