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

Perturbation at Blow Up of Self-Similar Solution for Modified Korteweg-de Vries Equation

Explore stability and perturbation of self-similar solutions' blowup dynamics in the modified Korteweg-de Vries equation, with applications to fluid dynamics and vortex patch formation.

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

The Korteweg-de Vries Hierarchy in Rough Function Spaces

Explore the Korteweg-de Vries hierarchy in rough function spaces, focusing on wellposedness and the Miura map's role in translating to the Gardner hierarchy.

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

Modified Scattering for the Three Dimensional Maxwell-Dirac System

Explore global well-posedness and modified scattering for the massive Maxwell-Dirac equation in R3+1, focusing on small, localized initial data and novel approaches to Dirac equations.

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

Finite Point Blowup for the Critical Generalized Korteweg-de Vries Equation

Explore finite point blowup in critical generalized KdV equations, uncovering new blow-up dynamics and rates. Gain insights into recent advancements in nonlinear wave theory.

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

Oppenheimer-Snyder Type Collapse for the Einstein-Vlasov System

Explore gravitational collapse approximation using Einstein-Vlasov system, extending Oppenheimer-Snyder's work on dust balls to understand black holes and cosmic censorship.

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

New Developments on Asymptotically Leaky Boundaries

Explore new developments in asymptotically leaky boundaries, focusing on recent research and ongoing work in Carrollian physics and holography.

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

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

Carrollian Amplitudes, Celestial Symmetries and Twistor Space

Explore Carrollian amplitudes, celestial symmetries, and their connection to twistor space in massless scattering at null infinity. Gain insights into Carrollian CFT and celestial amplitudes.

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

Characteristic Initial Data and Smoothness of Scri

Explore characteristic initial data and scri smoothness in general relativity, focusing on mathematical aspects and recent developments in the field.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video

From Carrollian Conformal Scalars to Flat-Space Higher-Spin Gravity

Explore Carrollian conformal scalars and their connection to flat-space higher-spin gravity in this advanced physics lecture.

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

BMS-Supertranslation Charges at the Critical Sets of Null Infinity

Explore BMS-supertranslation charges in asymptotically flat spacetimes, analyzing Strominger's conjecture and its validity using Friedrich's formulation of spatial infinity.

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

Radiation in Holography

Explore encoding radiative degrees of freedom in 4D asymptotically AdS spacetimes using boundary tensors. Examine effects on symmetry groups and connections to flat spacetimes.

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

Superrotations at Spacelike Infinity

Explore consistent boundary conditions for gravity in asymptotically flat spacetime, examining enhanced symmetries and renormalization procedures for finite canonical generators.

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

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

Conformal Boundaries of Minkowski Superspace and Their Super Cuts

Explore conformal boundaries of Minkowski superspace, examining points at infinity and their intersections with super null cones. Gain insights into superconformal geometry and its applications.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video