Algebraic K-theory Courses and Certifications

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

BunG Seminar

Localizing Motives, Algebraic KK-Theory and Refined Negative Cyclic Homology

Delve into advanced algebraic geometry concepts exploring localizing motives, their rigidity properties, and applications in refined negative cyclic homology and topological cyclic homology.

• YouTube
• 2 hours 29 minutes
• On-Demand
• Free Video

Fields Institute

K-Theory and C*-Algebras - Lecture 7

Explore advanced concepts in K-Theory and C*-Algebras with Professor George Elliott, delving into operator algebras and their applications in mathematics.

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

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
• On-Demand
• Free Video

ICTP Mathematics

From Knots to Number Theory I

Explore connections between quantum knot invariants and number theory, covering hyperbolic topology, Kashaev invariant, and quantum modularity. No prior knowledge required.

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Video

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
• On-Demand
• Free Video

Fields Institute

K-Theory and C*-Algebras - Lecture 2

Explore advanced concepts in K-Theory and C*-Algebras with Professor George Elliott, delving into operator algebras and their applications in mathematics.

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

Fields Institute

K-Theory and C*-Algebras - Lecture 3

Explore advanced concepts in K-Theory and C*-Algebras with Professor George Elliott, delving into operator algebras and their applications in mathematics.

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

Fields Institute

K-Theory and C*-Algebras - Lecture 4

Explore advanced concepts in K-Theory and C*-Algebras with Professor George Elliott, delving into operator algebras and their applications in mathematics.

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

Fields Institute

K-Theory and C*-Algebras - Lecture 5

Explore advanced concepts in operator algebras with a focus on K-Theory and C*-Algebras, led by renowned mathematician George Elliott from the University of Toronto.

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

ICTP Mathematics

From Knots to Number Theory II

Explore connections between quantum knot invariants and number theory, covering topics like hyperbolic topology, Kashaev invariant, and quantum modularity. No prior knowledge required.

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

Hausdorff Center for Mathematics

The Slices of Hermitian K-Theory

Explore Hermitian K-theory's slices, their construction, and applications in algebraic geometry. Gain insights into Milnor's conjecture on quadratic forms through this advanced mathematical lecture.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

International Mathematical Union

Thomas Nikolaus: Frobenius Homomorphisms in Higher Algebra

Explore algebraic K theory, higher algebra, and Frobenius homomorphisms in topology and K theory with insights from Thomas Nikolaus.

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

International Mathematical Union

Bhargav Bhatt: Algebraic Geometry in Mixed Characteristic

Explore recent developments in algebraic geometry over p-adically complete commutative rings, covering prismatic cohomology, semistable reduction, and Kodaira vanishing in mixed characteristic.

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

Fields Institute

K-Theory and C*-Algebras - Lecture 11

Explore advanced concepts in K-Theory and C*-Algebras with Professor George Elliott, delving into operator algebras and their applications in mathematics.

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