Institut des Hautes Etudes Scientifiques (IHES) Courses

Recent Advances in Algebraic K-theory - 2023 Summer School

Dive into cutting-edge developments in algebraic K-theory through expert lectures on prismatic cohomology, motivic homotopy theory, and localization theorems at this intensive IHES summer school.

• YouTube
• 1 day 9 hours 25 minutes
• Self-Paced
• Free Video

Homogeneous Dynamics and Geometry in Higher-Rank Lie Groups

Explore connections between homogeneous dynamics and discrete subgroups in higher-rank Lie groups, including Anosov representations and geometric structures.

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

Wall-Crossing Structures, Analyticity, and Resurgence

Explore advanced mathematical concepts connecting wall-crossing structures, resurgence theory, and quantum field theory through expert lectures from leading researchers.

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

Number Theory over Function Fields

Explore the deep analogy between integers and polynomials over finite fields, connecting number theory to geometry, topology, and Langlands theory through modern techniques.

• YouTube
• 12 hours 8 minutes
• Self-Paced
• Free Video

Non-Commutative Geometry Annual Meeting - Arbre de Noël du GDR Géométrie Non-Commutative

Explore cutting-edge research in non-commutative geometry through presentations by emerging and established mathematicians at this French research network's annual meeting.

• YouTube
• 9 hours 13 minutes
• Self-Paced
• Free Video

Combinatorics and Arithmetic for Physics - Special Days 2022

Explore advanced discrete mathematics and number theory applications in theoretical physics, covering renormalization, combinatorial structures, and computational methods.

• YouTube
• 14 hours 29 minutes
• Self-Paced
• Free Video

Types Dépendants et Formalisation des Mathématiques

Découvrez la formalisation des mathématiques via les types dépendants et le lambda-calcul typé pour la vérification de preuves sur ordinateur avec des experts de l'IHES.

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

Franco-Asian Summer School on Arithmetic Geometry

Delve into advanced arithmetic geometry through expert lectures on p-adic cohomology, Galois representations, and Simpson correspondence from leading mathematicians.

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

Parabolic Dynamics and Renormalization - An Introduction

Explore parabolic dynamical systems and their "slow" chaotic evolution through renormalization techniques, covering linear flows, horocycle flows, nilflows, and area-preserving flows.

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

Workshop on Quantum Geometry

Explore advanced quantum geometry through expert lectures on Gromov-Witten theory, Donaldson-Thomas invariants, integrable systems, and spectral curve quantization from leading researchers.

• YouTube
• 14 hours 45 minutes
• Self-Paced
• Free Video

Combinatorics and Arithmetic for Physics - Special Days

Explore advanced discrete mathematics and number theory applications in theoretical physics through expert lectures on combinatorial structures, algebraic geometry, and computational methods.

• YouTube
• 16 hours 14 minutes
• Self-Paced
• Free Video

Quantum Information, Condensed Matter, and Quantum Field Theory

Explore quantum information, condensed matter physics, and quantum field theory through expert lectures on ground state phases, eigenstates, and emergent phenomena.

• YouTube
• 7 hours 25 minutes
• Self-Paced
• Free Video

Geometry in Non-Positive Curvature and Kähler Groups

Explore advanced geometric group theory through expert lectures on hyperbolic geometry, Kähler groups, and their interactions in this specialized mathematical conference.

• YouTube
• 10 hours 11 minutes
• Self-Paced
• Free Video

Enumerative Geometry, Physics and Representation Theory - 2021 Summer School

Explore advanced enumerative geometry through expert lectures on curve counting, gauge theory, and representation theory connections with mathematical physics applications.

• YouTube
• 1 day 20 hours 30 minutes
• Self-Paced
• Free Video

Lefschetz, Hodge and Combinatorics - An Account of a Fruitful Cross-Pollination

Explore the profound connections between Lefschetz theory, Hodge theory, and combinatorics through advanced mathematical insights and cross-disciplinary applications.

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