BIMSA Courses

Universality for Lozenge Tiling Local Statistics

Explore random lozenge tilings, their local geometry in large scale limits, and recent universality results for various tiling statistics.

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

Bridging the Hybrid High-Order and Hybridizable Discontinuous Galerkin Methods

Explore the connection between hybrid high-order and hybridizable discontinuous Galerkin methods for diffusion problems, unveiling new efficient approaches and optimal convergence.

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

Homological Aspects of Branching Laws in p-adic Groups

Explore homological aspects of branching laws for p-adic group representations, focusing on restriction to subgroups and projective representations in Bernstein blocks.

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

Lensless Imaging: Overview, Opportunities, and Challenges

Explore lensless imaging advancements, principles, and applications in 3D reconstruction, discussing challenges and future opportunities in camera design and computational algorithms.

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

Accurate Medium-Range Global Weather Forecasting with 3D Deep Neural Networks

Explore AI-powered global weather forecasting using 3D deep networks and Earth-specific priors. Learn about Pangu-Weather's accuracy in medium-range predictions and extreme weather tracking.

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

The KPZ Fixed Point - Understanding Random Growing Interfaces

Explore the KPZ universality class, its fixed point, and connections to random matrix theory and integrable systems in growing interfaces and exclusion processes.

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

Hausdorff Dimension of Three-Dimensional Kakeya Sets

Explore groundbreaking research on Kakeya sets in R^3, uncovering a new lower bound for Hausdorff dimension and its implications in geometric measure theory.

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

Whole-Brain Neuroscience in Larval Zebrafish

Explore whole-brain neuroscience in larval zebrafish, examining neuronal circuits, behavior, and advanced techniques for measuring and manipulating brain activity during virtual reality experiments.

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

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