Fields Institute Courses

Hilbert Spaces Without Countable AC

Explore advanced mathematical concepts in Hilbert spaces without countable axiom of choice, presented by Bruce Blackadar from the University of Nevada, Reno.

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

Connections Between Boolean-Valued Logic and Ergodic Structure Theory

Explore the intriguing links between Boolean-valued logic and ergodic structure theory in this insightful talk by Asgar Jamneshan, delving into advanced mathematical concepts and their applications.

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

Roe-Type Algebras and Their Isomorphisms

Explore Roe-type algebras and their isomorphisms in this advanced mathematics talk by Alessandro Vignati, delving into operator algebras and their connections with logic.

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

Probability and Model Theory of Tracial von Neumann Algebras

Explore connections between free probability and model theory in von Neumann algebras, examining their interplay and applications in operator algebra research.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

On Existentially Closed II1 Factors

Explore advanced concepts in operator algebras, focusing on existentially closed II1 factors, with insights from Adrian Ioana's research in this specialized mathematical field.

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

Elementary Equivalence for II1 Factors

Explore elementary equivalence in II1 factors with Srivatsav Kunnawalkam Elayavalli, delving into operator algebras and their connections to logic in this advanced mathematical talk.

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

Positivity Is Undecidable in Product Algebras

Explore undecidability of positivity in product algebras with William Slofstra, delving into operator theory and its connections to mathematical logic.

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

Efficient, Stable Presentations From Error-Correcting Codes

Explore error-correcting codes and their applications in efficient, stable presentations with Columbia University's Henry Yuen in this insightful talk from the Fields Institute workshop.

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

On the Undecidability of the QWEP

Explore the undecidability of QWEP in operator algebras with Isaac Goldbring. Delve into advanced mathematical concepts and their applications in this Fields Institute lecture.

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

The Connes-Kirchberg Problem, Quantum Correlations and Infinite Dimensional Phenomena in QIT

Explore quantum correlations and infinite-dimensional phenomena in quantum information theory, focusing on the Connes-Kirchberg Problem and its implications.

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

Open Problems Session - Connections with Logic Workshop

Explore cutting-edge challenges in operator algebras and logic during this interactive session, fostering collaboration and advancing research in mathematical foundations.

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

Hyperfiniteness for Group Actions on Trees

Explore group actions on trees and hyperfiniteness in this advanced mathematics talk, delving into operator algebras and their connections with logic.

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

The Complexity of Conjugacy and Orbit Equivalence for Free Ergodic Actions

Explore the intricacies of conjugacy and orbit equivalence in free ergodic actions, delving into advanced mathematical concepts in operator algebras and ergodic theory.

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

Values of Rokhlin Dimension for Finite Group Actions on C*-Algebras

Explore finite group actions on C*-algebras and Rokhlin dimension values in this advanced mathematics talk by Ilan Hirshberg from Ben-Gurion University.

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

Tutorial Lecture Series on Infectious Diseases Affecting Africa - Part 2

Explore infectious diseases impacting Africa through mathematical modeling, focusing on transmission dynamics, control strategies, and public health implications.

• YouTube
• 1 hour 28 minutes
• Self-Paced
• Free Video