BIMSA Courses

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
• Self-Paced
• Free Video

Functions on the Commuting Stack via Langlands Duality - ICBS 2024

Explore complex reductive group theory, analyzing cocenters of affine Hecke categories and calculating Whittaker object endomorphisms to derive formulas for commuting stacks.

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

How Optimization Helps Industry: Real Applications in the Era of AI and Cloud Computing

Explore real-world optimization challenges in AI and cloud computing industries, from live streaming to AI-chip design. Gain insights into mathematical representations and recent advancements.

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

Maxwell Eigensolvers with Overlapping Schwarz Methods - ICBS 2024

Explore advanced overlapping Schwarz methods for Maxwell eigensolvers, including improved condition number bounds and a novel two-level preconditioned Helmholtz subspace iterative method for edge element approximations.

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

Threefold Divisorial Contraction to Curves

Explore threefold divisorial contractions to curves, their classification, and potential higher-dimensional extensions in algebraic geometry.

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

Predicting the Climate Over the Tibetan Plateau in Decadal Scales

Explore advanced techniques for predicting Tibetan Plateau climate on decadal scales, focusing on global coupled data assimilation and the impact of regional observations on global climate predictions.

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

Stochastic Modeling and Statistical Inference for Advancing Biomedical Insights

Explore stochastic modeling and statistical inference applications in single-cell biology, including HIV dynamics and preimplantation genetic testing for monogenetic diseases.

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

Alterfold Theory for TQFT and Topological Orders in All Dimensions

Explore alterfold theory for TQFT and topological orders across dimensions. Discover unified framework for representing concepts and generalizing results in intuitive ways.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Partial Entanglement Network and Geometry Reconstruction in AdS/CFT

Explore partial entanglement entropy geometrization in AdS/CFT, examining PEE threads, network formation, and bulk geometry reconstruction using novel approaches.

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

Recent Topics on Hyperbolic Relaxation Problems

Explore recent advancements in hyperbolic relaxation problems, covering dissipativeness, modeling, boundary conditions, and control in moment closure systems.

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

Quasi-Neutral Limit Problem of Planck-Nernst-Poisson-Navier-Stokes Equations for Electro-Hydrodynamics

Explore quasi-neutral limit problem in electro-hydrodynamics, examining multi-scaling structure stability, boundary layers, and well-posedness theory for Planck-Nernst-Poisson-Navier-Stokes equations.

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

The Combinatorics of Finite Simple Groups - ICBS 2024

Explore the interplay between finite simple groups, combinatorics, and group theory, examining recent developments and introducing algebraic tools for geometric structures.

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

Updates on 4D F-Theory Landscape - ICBS2024

Explore recent developments in 4d F-theory geometric landscape, including massive spectrum and new base ensemble measures.

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

Intersection Theory on Moduli Space of Super Riemann Surfaces

Explore intersection theory on super Riemann surface moduli spaces, including recursion formulas, polynomiality, and applications to JT gravity.

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