Institut Henri Poincaré Courses

Gravitational Theories: Introduction to Modified Gravity - Part 1

Explore modified gravity theories and their implications for understanding the universe, focusing on alternatives to Einstein's general relativity and their potential to explain cosmic phenomena.

• YouTube
• 2 hours 31 minutes
• On-Demand
• Free Video

Relativistic Hydrodynamics

Explore the principles and applications of relativistic fluid dynamics, covering fundamental concepts and advanced theories in high-energy physics and astrophysics.

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

Methods of Post-Newtonian Expansion

Explore advanced techniques for analyzing gravitational systems using post-Newtonian expansion, enhancing understanding of relativistic effects in astrophysics and cosmology.

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

Rabinowitz Floer Complex for Lagrangian Cobordisms

Définition d'un complexe de Floer pour des cobordismes lagrangiens transverses, avec structure A_∞ et élément de continuation. Comptage de disques pseudo-holomorphes SFT.

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

Tropical Fukaya Algebras

Explore curve count-based invariants in symplectic manifolds after multiple cuts, focusing on Fukaya algebras of Lagrangian submanifolds and their tropical counterparts.

• 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, combining Floer homology and recent developments in Khovanov homology and homotopy, without relying on knot Floer homology.

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

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

Exploración de la cuestión del género uno para descomposiciones de libro abierto en estructuras de contacto y flujos de Anosov, con énfasis en construcciones y resultados parciales.

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

A Few Properties of Besse Contact Manifolds

Exploración de propiedades de variedades de contacto de Besse, incluyendo resultados recientes sobre esferas de contacto y optimización sistólica en dimensiones bajas y altas.

• 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. Learn about convex surface theory applications in knot theory and topology.

• 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 for higher-dimensional analysis.

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

The Extremal Point Process of Branching Brownian Motion in Rd

Exploración de la estructura y ubicación de partículas extremas en el proceso de ramificación del movimiento browniano multidimensional, analizando su comportamiento a largo plazo.

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

Range Dynamics for a Spatially Structured Asexual Population

Explore range dynamics of populations in heterogeneous environments, considering spatial propagation and evolutionary dynamics. Discuss 1D, 2D, and complex scenarios, utilizing stochastic phenomena for macroscopic descriptions.

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

Ancestors' Genetic Weights in Biparental Populations

Estudio de la composición genética en poblaciones biparentales utilizando un modelo de Moran, analizando la convergencia de proporciones genómicas y la distribución de pesos ancestrales.

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

Quantifying the Evolutionary Advantage of Recombination in Finite Populations

Explore the evolutionary benefits of recombination in finite populations, focusing on analytical and simulation results for diploid organisms and the effects of deleterious mutations and transposable elements.

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

Probabilistic Inference of the Steady-State Distribution of an Age-Size Structured Population

Explora la distribución estacionaria de tamaño celular en poblaciones de E. coli mediante un modelo estocástico basado en datos de linajes individuales y técnicas microfluídicas.

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