BIMSA Courses

Growth in Tensor Powers

Explore tensor power decomposition in group representations, focusing on asymptotic behavior and non-negligible summands using symmetric tensor category theory.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

Nonlocal Diffusion Model with Dirichlet Boundary Condition - ICBS 2024

Explore nonlocal diffusion models for Poisson equation, focusing on approaches to approximate Dirichlet boundary conditions and analyzing wellposedness and convergence.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Swarm of Micro Flying Robots in the Wild

Explore autonomous micro-drone swarm navigation in dense forests. Learn about trajectory planning, obstacle avoidance, and swarm coordination for palm-sized aerial robots in challenging environments.

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

AI for Molecular Science: From Simulation to Generation

Explore AI's impact on molecular science, from simulation to generation. Learn about tools like Graphormer and VisNet, and their applications in drug discovery for TB and COVID.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Hyperbolic Manifolds in Dimension Higher Than 3

Explore hyperbolic manifolds in dimensions 4 and higher, examining their properties, challenges in description, and current understanding in topology.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Real Groups, Symmetric Varieties and Langlands Duality - ICBS 2024

Explore connections between relative Langlands duality and geometric Langlands for real groups, examining derived Satake equivalence for symmetric varieties.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

The Rescaling Method on Subvarieties of Bounded Symmetric Domains

Explore the rescaling method for algebraic subvarieties of bounded symmetric domains, examining holomorphic isometries and their applications to complex geometry and algebraic theory.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

New Frontiers in Structure vs Randomness with Applications to Combinatorics, Complexity, and Algorithms

Explore new frontiers in structure vs randomness, delving into applications in combinatorics, complexity, and algorithms. Gain insights on Erdos-Turan problem and recent advancements in additive combinatorics.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Around the Alexandrov-Fenchel Inequality - Convex Geometry and Its Applications

Explore the history and recent progress in convex geometry, focusing on Minkowski's theory and its connections to various mathematical disciplines.

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

Geometric Deep Graph Learning: Exploring Opportunities in Different Geometric Spaces

Explore geometric deep graph learning in non-Euclidean spaces. Discover properties of hyperbolic and hyperspherical spaces for enhanced graph representation and analysis across various applications.

• YouTube
• 1 hour
• Self-Paced
• Free Video

Quantum Symmetry via Quantum Geometry of Moduli Spaces

Explore quantum symmetry through moduli spaces of flat G-bundles, examining cluster Poisson structures and their quantization to uncover connections with quantum groups and representations.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Federated Learning for Nonparametric Function Estimation - Framework and Optimality

Explore federated learning for nonparametric regression, focusing on statistical optimality, privacy preservation, and the balance between accuracy and data protection in distributed settings.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Modeling and Analyzing Cell-Cell Communication from Single-Cell Data

Explore CellChat, an integrated method for inferring and analyzing cell-cell communication from single-cell sequencing data using systems biology and machine learning approaches.

• YouTube
• 1 hour
• Self-Paced
• Free Video

Deep Learning with Differential Privacy

Explore deep learning techniques for privacy-preserving machine learning, focusing on neural networks and differential privacy in crowdsourced, sensitive datasets.

• YouTube
• 1 hour
• Self-Paced
• Free Video

Old and New Developments on the Erdos-Szekeres Convex Polygon Problem

Explore old and new developments in the Erdos-Szekeres convex polygon problem, gaining insights into this fascinating mathematical challenge.

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