Fields Institute Courses

Hitchin Systems - An Introduction to Complex Geometric Structures

Explore Hitchin systems with Marina Logares, delving into their mathematical properties and applications in algebraic geometry and theoretical physics.

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

Multigraded Stillman's Conjecture

Explore the Multigraded Stillman's Conjecture in algebraic geometry, examining its implications and recent developments in this advanced mathematical topic.

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

Asymptotic Lower Bounds for Number Fields Generated by Plane Curves

Explore asymptotic lower bounds for number fields derived from plane curves, delving into advanced mathematical concepts and their applications in algebraic geometry.

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

Goncharov's Programme and Depth Reductions of Multiple Polylogarithms

Explore Goncharov's programme and depth reductions of multiple polylogarithms in this advanced mathematics talk by Steven Charlton at the Fields Institute.

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

Number Systems - Foundations and Applications in Mathematics

Explore the foundations of mathematics through an in-depth examination of number systems, presented by Kevin Hare from the University of Waterloo.

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

Cohomology of Compactifications of Hypersurface Arrangement Complements

Explore advanced algebraic geometry concepts, focusing on cohomology of compactifications in hypersurface arrangement complements with expert Alex Fink.

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

Categorical Resolution of Nodal Gushel-Mukai Fourfold

Explore advanced algebraic geometry concepts, focusing on categorical resolution techniques for nodal Gushel-Mukai fourfolds in this specialized mathematics talk.

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

An Algebraic Geometry of Paths via the Iterated-Integrals Signature

Explore the algebraic geometry of paths through iterated-integral signatures, delving into advanced mathematical concepts and their applications in path analysis.

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

Clusters and Weaves in Mathematical Structures

Explore mathematical connections between cluster algebras and weaves, delving into their structures and applications in algebraic geometry and representation theory.

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

The Topological Trace Formula

Explore the intricacies of the topological trace formula with Mark Goresky in this advanced mathematical talk, delving into complex algebraic concepts and their applications.

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

A Short Journey Through Graph Embedding Techniques - Part 2

Explore advanced graph embedding techniques, their applications, and recent developments in network analysis and machine learning.

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

A Short Journey Through Graph Embedding Techniques - Part 1

Explore graph embedding techniques with Mario Rosario Guarracino, covering fundamental concepts and applications in complex network analysis.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

An Introduction to Large Language Models and BERT for Text Classification - Part 2

Explore BERT model applications in text classification and gain insights into Large Language Models, their capabilities, and real-world impact on natural language processing.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

An Introduction to Large Language Models and BERT for Text Classification - Part 1

Explore Large Language Models and BERT for text classification, covering fundamental concepts and practical applications in natural language processing.

• YouTube
• 1 hour 26 minutes
• Self-Paced
• Free Video

Network Science Is Not Scale Invariant

Explore the concept of scale dependence in network science, challenging common assumptions and examining its implications for complex systems analysis.

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