BIMSA Courses

An ℓp Theory of PCA and Spectral Clustering

Explore an advanced $\ell_p$ theory of PCA, improving upon vanilla PCA for heteroscedastic noises and yielding optimal bounds for spectral clustering and community detection.

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

scverse: An Introduction to Single-Cell Data Analysis in Python

Explore Python's ecosystem for single-cell data analysis with scverse, a community-driven initiative coordinating omics data work.

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

Fixing Ambiguities in String Theory Using String Field Theory

Explore how string field theory resolves ambiguities in string theory computations, focusing on D-instanton corrections and matrix model comparisons.

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

Rigidity and Uniformity in Algebraic Dynamics

Explore connections between algebraic dynamics and arithmetic geometry, focusing on preperiodic points and torsion points in abelian varieties. Learn about recent breakthroughs in uniform bounds and conjectures.

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

AI-Assisted Automated Chemical Synthesis Planning and Execution

Explore AI-driven chemical synthesis planning integrated with robotic automation, streamlining complex molecule production for drug development and materials science.

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

How the Hilbert Space of Two-Sided Black Holes Factorizes - ICBS 2024

Explore the factorisation puzzle in AdS/CFT, examining how spacetime wormholes contribute to Hilbert space factorisation in two-sided black holes and its implications for holography.

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

Analytic and Reidemeister Torsions of Digraphs and Path Complexes

Explore Reidemeister and analytic torsions on finite digraphs using path homology theory. Learn about Hodge Laplace operators, torsion identities, and formulas for Cartesian products and joins.

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

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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• 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
• On-Demand
• Free Video