BIMSA Courses

Smooth Transonic Flows and Mixed Type Equations - ICBS 2024

Explore smooth steady transonic flows in compressible Euler equations, focusing on mixed types, degeneracy, and challenges in proving existence for flows with rotations and non-zero vorticities.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

Building Space-time with BCFT Legos - ICBS 2024

Explore quantum gravity duals of CFTs through conformal bootstrap, topological symmetries, and tensor networks. Discover how 2D Liouville theory illustrates building quantum gravitational path integrals using BCFT correlations.

• YouTube
• 1 hour 13 minutes
• Self-Paced
• Free Video

Statistical and Machine Learning Approaches for Investigating Viruses and Virus-Host Interactions

Explore statistical and machine learning methods for identifying novel viruses and virus-host interactions in metagenomic studies, enhancing understanding of microbial communities.

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

Search for Gravitational-Wave Background in Pulsar Timing Array

Explore recent pulsar timing array observations and their implications for gravitational wave detection, including evidence for scalar transverse polarization modes and challenges in confirming gravitational waves.

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

Multi-dimensional Domain Generalization with Low-Rank Structures

Explore novel tensor-based approach for robust domain generalization in linear regression, addressing challenges in underrepresented populations and achieving reliable, interpretable results with theoretical guarantees.

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

Asymptotic Orthogonality Relation for GL(n,R) - ICBS 2024

Explore generalized Dirichlet character orthogonality for GL(n,R), extending classical number theory to higher dimensions with applications.

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

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