BIMSA Courses

Chaos by Nature - Trajectories of the Undecidable

1 rating

Explore the mathematical foundations of chaos theory and undecidable trajectories in natural systems through advanced theoretical analysis.

• YouTube
• 1 hour 5 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

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

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

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

Dualities of Spin Chains

Delve into the mathematical foundations of spin chain dualities, exploring their classification through subfactor theory and connections to quantum symmetries, tensor categories, and operator algebras.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video

Application of Operator Theory for the Collatz Conjecture

Explore how operator theory and C*-algebras can be applied to the famous Collatz conjecture through three different formulations and their connections to irreducibility conditions.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Ergodic Ramsey Theory: Or, A New New Newtonian Dynamics

Explore the development of ergodic Ramsey theory from Newtonian dynamics, tracing intellectual advancements from Poincaré and Birkhoff to Furstenberg, with insights into recent trends and related research.

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

Highlights from the History of Ergodic Theory

Explore the historical development of ergodic theory with Yuval Peres, from Poincaré's recurrence to modern applications in probability theory, group actions, and number theory.

• YouTube
• 1 hour 17 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

Geometric Aspects of Integrable Systems

Explore the geometric structure of integrable systems with Peter Koroteev as he reveals connections between algebraic geometry, representation theory, and quantum physics through the novel concept of opers.

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

Conformal Field Theory and Path Integrals

Delve into the rigorous construction of two-dimensional Conformal Field Theories using probability theory, exploring the Liouville and Wess-Zumino-Witten CFTs and their connection to quantum deformations of the Langlands correspondence.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video