BIMSA Courses

Symplectomorphism Invariants of Open Domains

Explore symplectomorphism invariants of open domains, focusing on zeta functions, Reeb dynamics, and equivariant symplectic homology to distinguish toric domains.

• YouTube
• 1 hour 4 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

Heterogeneous Graph Neural Network for Representation Learning

Explore heterogeneous graph neural networks for effective representation learning in complex graphs with diverse node types, edge types, and associated content.

• YouTube
• 50 minutes
• 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

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

Explore Pangu-Weather, an AI-based method for accurate medium-range global weather forecasting using 3D deep networks and Earth-specific priors, outperforming traditional numerical prediction systems.

• YouTube
• 54 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

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

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

Pseudo-Isotopy and Diffeomorphisms of 4-Manifolds

Explore recent advancements in pseudo-isotopy theory and its applications to studying diffeomorphisms of 4-manifolds with David Gabai.

• YouTube
• 1 hour 1 minute
• 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

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

The Ricci Flow - Lecture by Richard Hamilton

Explore the Ricci flow equation, its applications in geometry, and its role in understanding manifold curvature evolution. Gain insights into singularities and geometric analysis.

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

Chaos and Black Holes: From Butterfly Effect to Event Horizons - ICBS 2024

Explore chaos theory, quantum systems, and black holes, examining their interconnections and the fascinating implications for understanding event horizons.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

A Proof of the Erdos-Faber-Lovasz Conjecture

Explore the recent proof of the Erdos-Faber-Lovasz conjecture and its generalization, delving into linear hypergraphs and chromatic index concepts.

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

Rectifiable-Reifenberg and the Regularity of Stationary and Minimizing Harmonic Maps

Explore sharp rectifiability results for singular sets of minimizing harmonic maps, with uniform Minkowski bounds and integrability. Analyze quantitative stratification and dimension-reduction techniques.

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