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

Weak Limit of Homeomorphisms in W1,n-1: Invertibility and Lower Semicontinuity

Explore weak limits of homeomorphisms, examining invertibility and lower semicontinuity in W1,n-1 spaces through variational and geometrical methods.

• YouTube
• 33 minutes
• On-Demand
• Free Video

Integral Representation and T-Convergence for Free-Discontinuity Problems

Explore integral representation and T-convergence for free-discontinuity problems in GSBV p(.) space, focusing on variable exponent energies and their asymptotic behavior.

• YouTube
• 38 minutes
• On-Demand
• Free Video

Finite Crystallization via Stratification in Two-Dimensional Square Lattices

Explore new techniques for proving 2D crystallization in square lattices using stratification methods and bond graph analysis for finite particle systems.

• YouTube
• 39 minutes
• On-Demand
• Free Video

Semi-Discrete Modeling of Systems of Disclinations and Dislocations in Crystalline Materials

Explore disclinations in crystalline materials, their modeling, and the relationship between disclination dipoles and edge dislocations through variational methods and energy minimization.

• YouTube
• 36 minutes
• On-Demand
• Free Video

Modern Trends in Gagliardo-Nirenberg Inequality

Explore modern trends in Gagliardo-Nirenberg inequality, including generalizations, refinements, and applications in functional analysis and partial differential equations.

• YouTube
• 26 minutes
• On-Demand
• Free Video

Variational Methods for Hyperbolic Evolutions and Fluid-Structure Interactions

Explore variational approaches to hyperbolic evolutions and fluid-structure interactions, focusing on well-posedness results for solid evolutions and fluid-solid interactions.

• YouTube
• 36 minutes
• On-Demand
• Free Video

Homeomorphic Sobolev Extensions of Parametrizations of Jordan Curves

Explore homeomorphic Sobolev extensions of Jordan curve parametrizations, examining conditions for finite energy deformations and recent findings in this mathematical field.

• YouTube
• 32 minutes
• On-Demand
• Free Video

Probing Exotic Potentials with Lattice Atom Interferometry

Explore advancements in lattice atom interferometry for probing exotic potentials, including extended coherence times and applications in measuring dark energy, gravity, and blackbody radiation.

• YouTube
• 22 minutes
• On-Demand
• Free Video

Short Range Force Sensing with a Trapped Atom Interferometer

Explore quantum sensing of short-range forces using trapped atom interferometry, including recent results, measurement techniques, and implications for detecting Casimir-Polder forces.

• YouTube
• 22 minutes
• On-Demand
• Free Video

The Cosmic Microwave Background: Relevance and Anisotropies in Observational Cosmology

Explore the cosmic microwave background's significance in observational cosmology, its anisotropies, polarization, and future experimental insights into spectral deviations.

• YouTube
• 28 minutes
• On-Demand
• Free Video

The Physical Processes Governing Structure Formation in Our Universe

Explore the physical processes shaping cosmic structures, from large-scale web formations to galaxy and star evolution, examining gravitational forces, hydrodynamics, and radiative effects.

• YouTube
• 45 minutes
• On-Demand
• Free Video

Blackbody Radiation Shifts in an Optical In+/Yb+ Ion Clock

Explore advanced atomic clock technology using ion Coulomb crystals, focusing on precision control and measurement of blackbody radiation shifts in In+/Yb+ systems for ultra-high accuracy timekeeping.

• YouTube
• 27 minutes
• On-Demand
• Free Video

Large Baseline Optical Imaging Assisted by Single Photons and Linear Quantum Optics

Explore quantum metrology and networking tools to enhance optical telescope interferometry, improving diffraction-limited imaging of point source positions using single-photon technology.

• YouTube
• 21 minutes
• On-Demand
• Free Video

Broad Band Radiation Gradient Forces in Space

Explore broad band radiation gradient forces in space, examining thermal radiation effects, inter-particle forces, and astrophysical scenarios using quantum optics techniques.

• YouTube
• 22 minutes
• On-Demand
• Free Video

Optical Clocks: An Introduction

Explore optical clock principles, comparing ion and neutral atom systems. Learn about accuracy, environmental effects, and strategies to control frequency shifts.

• YouTube
• 50 minutes
• On-Demand
• Free Video