Graph Theory Courses

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
• Self-Paced
• Free Video

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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• 58 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Hodge Theory for the Conservativity Conjecture

Explore Hodge theory's application to the conservativity conjecture in algebraic geometry and number theory with Joseph Ayoub's insightful lecture.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Convergence Theory of Adaptive Finite Element Methods

Explore the convergence theory of adaptive finite element methods for elliptic PDEs, including approximation classes and optimal convergence rates.

• YouTube
• 1 hour 23 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

The 2-Completion of L-Theory for C-Algebras

Explores the relationship between algebraic K-theory and L-theory for C*-algebras, focusing on C2-actions, Tate constructions, and 2-completions in topological K-theory.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Dimension, Complexity and K Theory

Explore connections between dimension theory, complexity, and K-theory in mathematics, focusing on applications in topology and geometry. Gain insights into cutting-edge research in these interconnected fields.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Coupling Time-Aware Multipersistence with Graph CNNs for Time Series Forecasting

Explore innovative time series forecasting using Graph Neural Networks and multipersistence, applied to traffic flow, cryptocurrency prices, and COVID-19 hospitalizations.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program

Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 18

Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 14

Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 3

Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.

• YouTube
• 43 minutes
• Self-Paced
• Free Video

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 8

Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur.

• YouTube
• 45 minutes
• Self-Paced
• Free Video