Institut Henri Poincaré Courses

Rabinowitz Floer Complex for Lagrangian Cobordisms

Explore Lagrangian cobordisms in symplectization, examining SFT pseudo-holomorphic discs and A_∞ structures. Delve into continuation elements for transverse push-offs.

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

Tropical Fukaya Algebras

Explore multiple cut operations on symplectic manifolds and their impact on curve count-based invariants, focusing on Fukaya algebras and tropical graph representations.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Khovanov Homology and the Cinquefoil

Explore Khovanov homology's detection of the (2,5) torus knot through advanced Floer homology and recent developments in knot theory.

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

The Genus-One Question for Open Book Decomposition in Contact Structures and Anosov Flows

Explore the genus-one question for open book decomposition in 3D contact structures and Anosov flows, examining constructions and partial results.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

A Few Properties of Besse Contact Manifolds

Explore properties of Besse contact manifolds, including their relation to rational ellipsoids and systolic optimality in various dimensions.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Legendrian Torus and Cable Links

Explore Legendrian torus and cable links, their classification, restrictions, and symmetries using convex surface theory applications.

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

Holomorphic Curve Invariants of Convex Hypersurfaces

Explore convex hypersurface topology using sutured contact homology, combining Morse-Bott, obstruction bundle gluing, and virtual perturbation techniques.

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

The Extremal Point Process of Branching Brownian Motion in Rd

Explore the behavior of particles in multidimensional branching Brownian motion, focusing on extremal points and their distribution over time.

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

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 2, Part 3

Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Joseph Lehec in this advanced mathematics lecture.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 2, Part 4

Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture in this advanced mathematics lecture.

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

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 2, Part 2

Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture with Bo'az Klartag.

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

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 2, Part 1

Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture with Bo'az Klartag.

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

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 1, Part 3

Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Joseph Lehec in this advanced mathematics lecture.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 1, Part 4

Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture in this advanced mathematics lecture.

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

Isoperimetric Inequalities in High Dimensional Convex Sets - Lecture 1, Part 2

Explore isoperimetric inequalities in high-dimensional convex sets, focusing on Bourgain's slicing problem and the KLS conjecture. Gain insights from expert Bo'az Klartag.

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