Institut des Hautes Etudes Scientifiques (IHES) Courses

Generalized Symmetries and Phases of Gauge Theory - Lecture 3

Explore higher-form and higher-group symmetries in gauge theory phases, focusing on 3+1 dimensions. Gain insights into anomalies and SPTs through expert lectures.

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

Generalized Symmetries and Phases of Gauge Theory - Lecture 2

Explore higher-form and higher-group symmetries in gauge theory phases, focusing on 3+1 dimensions. Gain insights into anomalies and SPTs through expert analysis.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Video

Introduction to Anomalies in Condensed Matter Physics - Lecture 2

Explore topological and invertible phases in condensed matter physics, covering Majorana chains, bordism invariance, and symmetry-protected topological states.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

Introduction to Anomalies in Condensed Matter Physics - Lecture 1

Explore topological phases, invertible phases, and symmetry-protected topological states in condensed matter physics through examples and theoretical frameworks.

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

Generalized Symmetries and Phases of Gauge Theory - Lecture 1

Explore higher-form and higher-group symmetries in gauge theory phases, focusing on 3+1 dimensions and related concepts like anomalies and SPTs.

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

La science au service de la performance des sportifs

Découvrez comment la physique et les mathématiques expliquent les performances sportives et offrent des conseils pour s'améliorer dans diverses disciplines athlétiques.

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

Logarithmic Sobolev Inequalities on Homogeneous Spaces

Explore logarithmic Sobolev inequalities on homogeneous spaces with sub-Riemannian structures. Discover how constants depend on Lie group geometry and remain independent of dimension in certain cases.

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

Dimension-Independent Functional Inequalities on Sub-Riemannian Manifolds

Explore gradient estimates and functional inequalities on sub-Riemannian manifolds, focusing on techniques used in absence of curvature bounds. Learn basics of sub-Riemannian geometry and metric structures.

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

Quantum Periods for Complements

Explore quantum periods for complements, focusing on polynomial-defined spectral curves and quantization of polynomial algebras. Gain insights into cohomological descriptions of WKB series.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Topological Invariants of Gapped States and 't Hooft Anomalies

Explore topological invariants of gapped ground-states in lattice systems, their interpretation as obstructions to gauging, and the role of locality in infinite-volume systems with rapidly decaying interactions.

• YouTube
• 1 hour
• On-Demand
• Free Video

Modularity of Donaldson-Thomas Invariants on Calabi-Yau Threefolds

Explore Donaldson-Thomas invariants, their mathematical significance, and modular behavior in string theory. Gain insights into BPS indices, wall-crossing phenomena, and topological string amplitudes.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Inclusive Scattering Matrix in Quantum Theory

Explore inclusive scattering matrix in quantum theory, its relation to cross-sections, and applications in quantum electrodynamics using geometric approach and Keldysh formalism.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Prime, Knots and the Adele Class Space

Explore geometric connections between primes and knots through scaling site theory, adele class space, and finite abelian extensions of Q, revealing insights into number theory and topology.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Topological Recursion: A Recursive Way of Counting Surfaces

Explore topological recursion for enumerating surfaces in combinatorics, geometry, and physics. Learn how this universal method links to integrable systems and random matrices.

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

Quantum Exclusion Process, Random Matrices and Free Cumulants

Explore quantum exclusion process, random matrices, and free cumulants in relation to particle hopping models and their invariant measure fluctuations.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video