Fields Institute Courses

Beautiful Pairs of Unstable Theories and Spaces of Definable Types

Explore unstable theories and definable types in model theory, examining beautiful pairs and their implications for mathematical logic and foundations.

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

A Primal-Dual Interior-Point Algorithm for Nonsymmetric Conic Optimization

Explore a primal-dual interior-point algorithm for nonsymmetric conic optimization, delving into advanced mathematical concepts and their applications in optimization theory.

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

Zagier's Polylogarithm Conjecture Revisited

Explore Zagier's Polylogarithm Conjecture with Herbert Gangl, delving into advanced number theory concepts and recent developments in this intriguing mathematical field.

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

Hyperbolic Fourier Series

Explore advanced mathematical concepts in hyperbolic Fourier series, delving into complex analysis and function spaces with expert insights from Håkan Hedenmalm.

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

Mini-course on Bergman Spaces - Part 3

Explore advanced concepts in Bergman spaces, focusing on analytic function theory and its applications in complex analysis and functional analysis.

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

Cyclicity Preserving Operators on Spaces of Analytic Functions

Explore cyclicity preserving operators in analytic function spaces, examining their properties and applications in complex analysis and operator theory.

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

Mini-course on Bergman Spaces - Part 2

Explore advanced concepts in Bergman spaces, building on foundational knowledge to deepen understanding of analytic function theory and its applications.

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

On the Oriented Coloring of the Disjoint Union of Graphs

Explore oriented graph coloring in disjoint unions, examining theoretical aspects and algorithmic implications in combinatorial algorithms.

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

A Decomposition of Analytic Function Spaces, With Applications

Explore analytic function spaces decomposition and its applications in this insightful lecture by Jonathan Partington from the University of Leeds.

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

Search for Combinatorial Objects Using Lattice Algorithms - Revisited

Explore advanced lattice algorithms for efficient combinatorial object searches, enhancing problem-solving techniques in discrete mathematics and computational geometry.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Token Swapping

Explore token swapping algorithms and their applications in graph theory with insights from Anna Lubiw of the University of Waterloo.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Induced Subgraphs and Tree Decompositions

Explore induced subgraphs and tree decompositions in graph theory, focusing on their properties, applications, and recent advancements in combinatorial algorithms.

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

A Tale of Two Analyticities

Explore the intricacies of number theory as Sean Howe delves into the concept of analyticity, offering insights and perspectives in this advanced mathematical seminar.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

Eisenstein Series and the Cohomology of Congruence Groups

Explore the interplay between Eisenstein series and congruence group cohomology in this advanced mathematical lecture by Joachim Schwermer, delving into representation theory, geometry, and arithmetic.

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

On the P-adic Uniformization of Shimura Curves

Explore p-adic uniformization of Shimura curves with Michael Rapoport. Delve into advanced mathematical concepts at the intersection of representation theory, geometry, and arithmetic.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video