Graph Theory Courses

Models of Consciousness Conferences

Integrated Information Theory - A Perspective on Weak and Strong Versions

Explores 'weak' and 'strong' versions of Integrated Information Theory, discussing its potential to explain consciousness and highlighting key empirical evidence and theoretical challenges.

• YouTube
• 20 minutes
• Self-Paced
• Conference Talk

Complexity Explorer

Origins of Life: Selection Theory - Quasispecies and Error Catastrophe

Explores quasispecies and error catastrophe in selection theory for origins of life research. Examines how early replicators evolved and the limits of mutation rates in maintaining genetic information.

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

Complexity Explorer

Graph and Tensor Algorithmic Complexity - Unit 6, Module 5

Explore algorithmic complexity in graphs and tensors, focusing on computational approaches to causality and living systems from networks to cells.

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

Hausdorff Center for Mathematics

An Introduction to Chromatic Homotopy Theory

Explore Morava K-theories, E-theories, and their role in chromatic homotopy theory. Delve into K(n)-local categories and the connection between E-theory and group cohomology.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Thomas Nikolaus- K-Theory of Z-P^n and Relative Prismatic Cohomology

Explore K-theory computation for Z/p^n rings using prisms and prismatic cohomology. Learn about generalized prisms and their universal property in this advanced mathematical discussion.

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

Hausdorff Center for Mathematics

A Farrell-Jones Isomorphism for Scissors Congruence K-Theory

Explore a new trace map in scissors congruence K-theory, its refinement, and its role in proving the Farrell-Jones isomorphism. Joint work with Mona Merling and Inna Zakharevich.

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

Hausdorff Center for Mathematics

Jonathan Hickman- On Littlewood-Paley Theory for Space Curves

Explore Littlewood-Paley inequalities for functions with Fourier transforms near submanifolds, focusing on space curves and applications in harmonic analysis, PDE, and number theory.

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

Hausdorff Center for Mathematics

Relative Trace Formulas for GL - 2 - and Analytic Number Theory

Explore relative trace formulas for GL(2) and their applications in analytic number theory, delving into advanced mathematical concepts and techniques.

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

Hausdorff Center for Mathematics

An Introduction to Auxiliary Polynomials in Transcendence Theory - Lecture III

Explore transcendence theory, Baker's Theorem, and the structural rank conjecture. Learn complex analysis and commutative algebra techniques for proving lower bounds on logarithmic matrices.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

An Introduction to Auxiliary Polynomials in Transcendence Theory - Lecture II

Explore advanced transcendence theory concepts, focusing on auxiliary polynomials and their applications in proving Baker's Theorem and the Masser-Waldschmidt theorem on logarithmic matrices.

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

Hausdorff Center for Mathematics

An Introduction to Auxiliary Polynomials in Transcendence Theory

Explore transcendence theory, focusing on Baker's Theorem and the structural rank conjecture. Learn complex analysis and commutative algebra techniques for proving key results in number theory.

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

Hausdorff Center for Mathematics

Random Graph Matching with Improved Noise Robustness

Explores a new algorithm for exact matching of correlated Erdos-Renyi graphs, improving noise robustness in graph matching for applications in computer vision and biology.

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

Hausdorff Center for Mathematics

Geometric Probabilities and Valuation Theory

Explore applications of geometric valuation theory to probabilities and integral geometry, including Cauchy-Kubota formulas and recent findings for convex functions.

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

Hausdorff Center for Mathematics

Tautological p-Kazhdan-Lusztig Theory for Cyclotomic Hecke Algebras

Explores isomorphism between quiver Hecke algebras and diagrammatic endomorphism algebras, proving equality of decomposition numbers and p-Kazhdan-Lusztig polynomials for cyclotomic Hecke algebras.

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

Hausdorff Center for Mathematics

Stochastic Quantization of Exponential Quantum Field Theory

Explores stochastic quantization of 2D scalar fields with exponential interaction, focusing on elliptic and parabolic Euclidean approaches and related random PDEs with multiplicative noise.

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