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

Hydrodynamics: From Relativistic to Carroll - Lecture

Explore hydrodynamics as an effective field theory, focusing on symmetries and their role in constructing Euclidean thermal partition functions for exotic field theories.

• YouTube
• 1 hour 31 minutes
• Self-Paced
• Free Video

Null Raychauduri: Canonical Structure, Dressing Time and Quantum Geometry

Explore canonical structure, dressing time, and quantum geometry in null Raychauduri equations with Laurent Freidel's insightful lecture.

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

Hyperbolic Mass in 2+1 Dimensions

Explore gluing theorems for time-symmetric vacuum general relativistic initial data sets in 2D space, focusing on mass formulae and Banados geometries near conformal infinity.

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

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

CFT Explorations of BMS-Like Algebras

Explore conformal field theoretic realisations of BMS-like algebras and their BRST complexes in semi-infinite cohomology.

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

Asymptotic Structures at Timelike Infinity from Projective Geometry

Explore asymptotic structures at timelike infinity using projective geometry in this advanced physics lecture by Jack Borthwick.

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

Carrollian Holography: Yesterday, Today, Tomorrow

Explore the evolution of flat holography from a Carroll perspective, tracing its development from 2010 to recent advancements in 4D theories.

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

Discovering Dynamic Laws from Observations: The Case of Self-Propelled Particles

Explore machine learning techniques for uncovering forces in active matter systems, from cellular to animal scales. Learn to extract local dynamics crucial for understanding collective phenomena.

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

Transport Properties in Intermittent Active Matter

Explore optimal strategies for maximizing diffusivity in intermittent active motion across scales, from bacteria to sheep and artificial colloidal systems.

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

Driven and Self-Driven Transport in Model Active Systems

Explore transport phenomena in soft matter systems, focusing on spinning particles driven by external fields and self-propelled particles with internal energy. Examine collective transport and shear rheology.

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

Activity Induced Rigidity of Liquid Droplets

Explore how active Janus particles increase droplet resistance to deformation in extensional flow, validating 3D pressure predictions for active particle ensembles.

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

Microtubules as Maxwell's Demons: Transport-Based Phase-Separation of a Binary System

Explore how microtubules and molecular motors self-organize into polarity-sorted domains, creating ordered structures in living cells through selective transport mechanisms.

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

How to Distinguish Fractional Brownian Motion with Random and Constant Hurst Exponents

Explore fractional Brownian motion models, distinguishing between constant and random Hurst exponents using statistical methods. Apply to financial markets and biological systems.

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

Sticking Together: How Bacterial Collectives Reshape Themselves

Explore how bacterial collectives spread, adapt, and grow in complex 3D environments using innovative imaging, 3D printing, and modeling techniques to predict and control their behavior.

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

Brownian Motion at Interfaces - Experimental and Theoretical Studies

Explore Brownian motion near interfaces using experimental, theoretical, and numerical methods. Analyze microparticle trajectories, probability densities, and non-Gaussian behavior to infer nanoscale properties.

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