Graph Theory Courses

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Infinite Distances, Scalar Potential, and Non-Geometry in String Theory - Thomas Raml

Explore infinite distances in parameter space, T-duality, and curved internal spaces. Examine divergent potentials and their relation to pathological infinite distance points in string theory.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Ladder Mice in Set Theory

Explore ladder mice in mathematics with Farmer Schlutzenberg, delving into determinacy, inner models, and forcing axioms.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Squares, Scales and Lines in Set Theory - Todorcevic's Theorem and PCF Theory

Explore singular cardinals, square principles, and linear orders in set theory, examining Todorcevic's result and related PCF-theoretic principles.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Forcing and Consistency Properties in Set Theory

Explore forcing and consistency properties in set theory, delving into advanced mathematical concepts and their applications.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Order-preserving Martin's Conjecture and Inner Model Theory

Explore order-preserving Martin's Conjecture and its connection to inner model theory in advanced mathematical logic and set theory.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Toward a Grand Unified Theory of Accelerations in Optimization and Machine Learning

Explore acceleration mechanisms in optimization and machine learning, aiming to unify diverse approaches for a comprehensive mathematical theory.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Bilevel Optimization Problems: Algorithms and Theory

Explore recent developments in bilevel optimization algorithms, their theoretical analysis, and challenges in machine learning and data science applications.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

BMS Representations in Diffeomorphism Groups - Symmetry and Theory

Explore BMS symmetry and its generalizations as subgroups of the diffeomorphism group, delving into associated representation theory aspects.

• YouTube
• 1 hour 33 minutes
• Self-Paced
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Quantum Field Theory on Asymptotically Flat Spacetimes and the BMS Group

Explore quantum field theory on asymptotically flat spacetimes, focusing on Hadamard states, BMS symmetry, and the Unruh state in Schwarzschild spacetime. Examine future perspectives and challenges in interacting models.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Celestial and Carrollian Amplitudes and Celestial Liouville Theory

Explore celestial and Carrollian amplitudes in gauge, gravitational, and string theories, and their connection to celestial Liouville theory on non-trivial backgrounds.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

A Covariant Approach to Fractons: Maxwell Theory of Fractons

Explore a covariant approach to fractons using a generalized Maxwell-like action, examining their relation to gravitons and the emergence of fractonic edge states in bounded systems.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

An Introduction to Twistor Theory as Seen from Null Infinity

Explore classical twistor theory, Penrose transform, and non-linear graviton theorem, focusing on null infinity geometry and Newman's H-space. Discuss recent developments in twistor sigma models and Lw-infinity symmetries.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Extreme Value Theory and Poisson Statistics for Stochastic Differential Equations

Explore extreme event distributions in stochastic processes using transfer operators and spectral analysis techniques for Stochastic Differential Equations.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Isabelle Gallagher's Contributions to Mathematical Physics - Fluid Mechanics and Kinetic Theory

Explore Isabelle Gallagher's contributions to Mathematical Physics, focusing on Fluid Mechanics and Kinetic Theory in rotating fluids and Boltzmann equation derivation.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Lorentzian IKKT Matrix Model with Mass Term as Nonperturbative Formulation of Superstring Theory

Explore the Lorentzian IKKT matrix model with mass term as a nonperturbative superstring theory formulation. Delve into regularization, classical solutions, and potential emergence of expanding spacetime.

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