BIMSA Courses

6D Superconformal Field Theories and Little String Theories

Explore quantum field theories in 6 dimensions, string theory concepts, and their implications for understanding fundamental physics, black holes, and geometric mathematics.

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

Hydrodynamics and Anomalies

Explore the intricate relationship between hydrodynamics and anomalies through advanced theoretical physics concepts and mathematical frameworks in quantum field theory.

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

Twisting Compact Quantum Groups

Delve into the theory of C*-algebraic quantum groups, exploring non-commutative torsion, cocycle twisting, and connections to the quantum Baum-Connes conjecture with Professor Ryszard Nest.

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

Quantum Information with Ion Traps and Atoms

Explore quantum computing hardware platforms with a focus on neutral atoms and trapped ions. Compare their strengths, challenges, and recent breakthroughs in qubit control, entanglement generation, and error correction.

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

A Refined Theory of Opinion Dynamics and Its Applications

Explore a refined model of opinion dynamics applied to analyze 154 years of US Congress data, examining what drives ideological separation and the relationship between polarization and historical events.

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

Geometry of Octonions

Explore the geometry of octonions with Kotaro Kawai, focusing on differential geometry and manifolds with exceptional holonomy in this BIMSA Member Seminar.

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

The Multifractal Lq-Spectrum and Beyond

Delve into the mathematical world of fractal geometry with Dr. Sze-Man Ngai as he explores the multifractal Lq-spectrum and its extensions, offering insights into fractal measures and related mathematical theories.

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

Frucht's Theorem for Finite Quantum Groups

Explore Frucht's theorem for finite quantum groups, examining how every finite quantum group can be realized as the quantum automorphism group of a finite quantum graph, with special focus on quantum Cayley graphs.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Interpolation Categories for Conformal Embeddings

Delve into the diagrammatic description of module categories from conformal inclusions and the construction of continuous tensor category families at non-integer levels, with focus on (sl(N), N) ⊂ (so(N^2−1), 1).

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Conformal Bootstrap and Heterotic String Models

Delve into the mathematical foundations of Heterotic string Gepner models in 4D, exploring conformal bootstrap, N=2 SCFT minimal models, and their connections to Calabi-Yau manifolds and Grand Unified Theories.

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

String Sandwiches and Worldsheet Quantum Equivalence Principle

Delve into the Worldsheet Quantum Equivalence Principle in string theory, exploring Sandwich Virasoro Constraints and their implications for different worldsheet observers, including accelerated worldsheets with horizons.

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

Thermal Universality in Symmetric Product Orbifolds

Delve into thermal universality in symmetric product orbifolds, exploring their universal properties, correlation functions in BTZ backgrounds, and implications for holography and von Neumann algebras.

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

Natural Vector Methods and Artificial Intelligence: Applications in Bioinformation

Explore natural vector methods combined with AI for bioinformatics applications, including predicting non-standard base codes and classifying RNA types, presented by BIMSA researcher Guoqing Hu.

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

MaxCut, Orthonormal Representations, and Extension Complexity of Polytopes

Explore extremal problems in combinatorics involving MaxCut, Lovász theta function, and extension complexity of polytopes, with insights on bipartite generalizations of nearly orthogonal vectors.

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

Additive Bases: Change of Domain

Explore additive bases and how the most efficient way to cover a set by a sumset changes when moving between rational numbers, integers, and natural numbers. Joint work examining these mathematical domain transitions.

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