Erwin Schrödinger International Institute for Mathematics and Physics (ESI) Courses

The HOD Conjecture and Its Failure

Explore the HOD conjecture's intricacies and its ultimate failure in set theory, delving into advanced mathematical concepts and their implications.

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

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

Unreachability in the Second Projective-Like Hierarchy

Explore unreachability in the second projective-like hierarchy with Derek Levinson's advanced mathematical analysis.

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

Geometry of String Compactifications

Explore the geometry of string comparative actions in this advanced physics lecture by Lara Anderson, delving into complex mathematical concepts.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

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

Scattering Towards the Spacelike Singularity in Kasner Spacetimes

Explore Kasner spacetimes and spacelike singularities in General Relativity through hyperbolic systems, examining blow-up asymptotics and the interplay between Cauchy and asymptotic data.

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

Waves on Kerr-de Sitter Space

Explore wave propagation on Kerr-de Sitter spaces in the subextremal range, featuring updates on joint research with Peter Hintz and Oliver Petersen.

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

Characterizing Large Cardinals in Terms of Löwenheim-Skolem and Weak Compactness Properties

Explore characterizations of large cardinals using Löwenheim-Skolem and weak compactness properties in infinitary second-order logic, including recent work on Shelah cardinals.

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

Chang's Conjecture and Mouse Reflection

Explore Chang's Conjecture and Mouse Reflection in mathematics, delving into advanced concepts from set theory and logic.

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

Stationary Reflection for אω1 +1

Explore stationary reflection for אω1 +1 in this advanced mathematical talk by Dima Sinapova, delving into determinacy, inner models, and forcing axioms.

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

Mathias Characterizations for Generics in Variants of Namba Forcing

Explore Mathias characterizations for generics in variants of Namba forcing, delving into advanced set theory concepts and their applications in mathematical logic.

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

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

Cardinality of the Set of Bounded Subsets of a Cardinal

Explore cardinal exponentiation and bounded subsets in Woodin's AD+ theory, applying insights to analyze cardinality below Theta.

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

Separating Levels of Dependent Choice on Reals from Levels of Projective Determinacy - ESI Workshop

Explore the separation of dependent choice levels on reals from projective determinacy levels through a modified symmetric extension of L, based on joint work with Sandra Müller.

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

Global Well-Posedness and Scattering for the Conformal Nonlinear Wave Equation

Explore global well-posedness and scattering in conformal nonlinear wave equations with Benjamin Dodson's in-depth mathematical analysis.

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