BIMSA Courses

Rigidity and Multiplicity of Singularities Associated to Ample Vector Bundles

Explore rigidity and multiplicity of singularities in ample vector bundles, focusing on irreducible desingularization and multiplicity formulas for isolated singularities.

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

Unidirectional Light Emission from a Topological Perspective

Explore unidirectional light emission in photonic integration through topological charges, unveiling novel phenomena and applications in next-generation computing.

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

Testing Gravity Theories with Radio Pulsar Timing

Explore radio pulsar timing techniques and their application in testing alternative gravity theories using binary pulsars.

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

Hypergraph Bipartite Turan Problems

Explore recent findings on hypergraph bipartite Turan problems, including solutions to challenges posed by prominent researchers in the field.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Tetrahedron Duality - ICBS 2024

Explore the Zamolodchikov tetrahedron equation, its role in 3D field theories, and its connection to supersymmetric gauge theory and quantum field theory duality.

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

Analysis of ALH* Gravitational Instantons

Explore ALH* gravitational instantons, their Laplacian properties, and moduli space compactification. Gain insights into Calabi-Yau metrics and their applications in SYZ conjecture and K3 surface collapsing.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

New Geometric Structures in the Langlands Program

Explore new geometric structures in the Langlands program, including the moduli space of G-bundles on the curve, and their role in constructing the semi-simple local Langlands correspondence.

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

Cognitive Robotics and AI: From Babies to Robots

Explore embodied cognition in AI and robotics, focusing on language processing, number learning, and Theory of Mind. Discover implications for cognitive sciences and robot companion applications.

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

Smooth Transonic Flows and Mixed Type Equations - ICBS 2024

Explore smooth steady transonic flows in compressible Euler equations, focusing on mixed types, degeneracy, and challenges in proving existence for flows with rotations and non-zero vorticities.

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

Building Space-time with BCFT Legos - ICBS 2024

Explore quantum gravity duals of CFTs through conformal bootstrap, topological symmetries, and tensor networks. Discover how 2D Liouville theory illustrates building quantum gravitational path integrals using BCFT correlations.

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

Statistical and Machine Learning Approaches for Investigating Viruses and Virus-Host Interactions

Explore statistical and machine learning methods for identifying novel viruses and virus-host interactions in metagenomic studies, enhancing understanding of microbial communities.

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

Search for Gravitational-Wave Background in Pulsar Timing Array

Explore recent pulsar timing array observations and their implications for gravitational wave detection, including evidence for scalar transverse polarization modes and challenges in confirming gravitational waves.

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

Multi-dimensional Domain Generalization with Low-Rank Structures

Explore novel tensor-based approach for robust domain generalization in linear regression, addressing challenges in underrepresented populations and achieving reliable, interpretable results with theoretical guarantees.

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

Asymptotic Orthogonality Relation for GL(n,R) - ICBS 2024

Explore generalized Dirichlet character orthogonality for GL(n,R), extending classical number theory to higher dimensions with applications.

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

Hyperbolic and Mixed-Type Problems in Gas Dynamics and Geometry

Explore hyperbolic and mixed-type PDEs in gas dynamics and geometry, focusing on transonic flows and isometric embedding.

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