BIMSA Courses

On the Painleve Conjecture in Celestial Mechanics - ICBS 2024

Explore the solution to the Painleve conjecture in celestial mechanics, focusing on noncollision singularities in the four-body problem of Newtonian mechanics.

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

Generic Dynamics of the Mean Curvature Flows

Explore generic dynamics of mean curvature flows, including perturbation of shrinkers and isolatedness of cylindrical singularities in hypersurface evolution.

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

Crossed Product Splitting of Intermediate Operator Algebras via 2-Cocycles

Explore intermediate operator algebras through a unified theorem, combining Galois correspondence and crossed product splitting with 2-cocycles. Apply to Bisch-Haagerup inclusions.

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

Distribution on Achiral Manifolds

Explore distribution of commensurable classes in geometric models, focusing on Sol and hyperbolic 3-manifolds. Delve into related number theory concepts and recent research findings.

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

The Second Data Release from the European Pulsar Timing Array - Search for Gravitational Wave Signals

Explore the latest findings from the European Pulsar Timing Array's second data release and its implications for gravitational wave detection.

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

Modelling, Data Analytics, and AI for Investigating Heterogeneous Substances

Explore advanced techniques for studying heterogeneous materials, integrating physics-based modeling, data analytics, and AI to unlock new insights and accelerate research in material science.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Harmonic Maps with Free Boundary: Regularity, Singularity Formation and Geometric Applications

Explore harmonic maps with free boundary, covering existence, regularity, and parabolic blow-up. Examine elliptic and parabolic problems, recent advances in regularity theory, and geometric applications to the Steklov problem.

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

Quantitative Cobordism - Exploring Topology and Geometry

Explore quantitative cobordism in topology, focusing on non-constructive existence proofs and connections to geometry. Delve into Manin's principle, Cheeger-Gromov heuristic, and manifold constructions.

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

Mock Modularity of Calabi-Yau Threefolds - ICBS 2024

Explore modular properties of generating functions for Donaldson-Thomas invariants in Calabi-Yau threefolds, their physical origins, and applications in string theory compactifications.

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

Quantum Field Theory in Curved Spacetime - Introduction and Mathematical Issues

Explore quantum field theory in curved spacetime, examining its principles, applications, and mathematical challenges in the context of general relativity and black hole phenomena.

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

Homotopy Groups of Spheres - Computation Methods and Recent Progress

Explore homotopy groups of spheres, their computational methods, and recent advancements in topology using motivic homotopy theory and related techniques.

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

Accessing the Nanoscale with MINFLUX Light Microscopy

Explore MINFLUX, a groundbreaking light microscopy technique achieving nanometer-scale precision in superresolution imaging and single-molecule tracking, revolutionizing cellular observations.

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

Future Circular Collider: Physics Case

Explore CERN's Future Circular Collider program, its physics potential, and its role in advancing high-energy physics research for decades to come.

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

Linear Stability of Ricci Solitons - ICBS2024

Explore linear stability of compact shrinking Ricci solitons, including positive Einstein manifolds. Examine critical aspects, open problems, and recent research findings in Ricci flow and geometric analysis.

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

The Higgs Boson and Beyond - ICBS 2024

Explore the Higgs boson discovery, its implications, and unanswered questions in particle physics with renowned physicist John Ellis.

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