BIMSA Courses

Double Affine Hecke Algebras Beyond Genus Zero

Delve into advanced mathematical concepts of Double Affine Hecke Algebras and their applications beyond genus zero, presented by mathematics expert Dr. Arthamonov.

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

Connection Probabilities for Loop O(n) Models and BPZ Equations

Delve into advanced statistical physics concepts, exploring connection probabilities in loop O(n) models and their relationship with BPZ equations through expert insights from Professor Hao Wu.

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

String Dualities and Compact Stars: From AGT Conjecture to Black Holes and Neutron Stars

Explore advanced theoretical physics concepts including AGT conjecture proofs, SW/QNM correspondence for black holes, and holographic QCD applications in neutron star analysis.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

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
• On-Demand
• Free Video

Probability Inspired by Non-equilibrium Statistical Physics

Explore probability theory through non-equilibrium statistical physics with insights from renowned mathematician Tadahisa Funaki's research on interacting systems and stochastic PDEs.

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

Categorification of Lagrangian Floer Theory and Its Relation to Various Mathematics

Explore categorification of Lagrangian Floer theory and its connections to diverse mathematical fields with renowned mathematician Kenji Fukaya.

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

Alterfold Topological Quantum Field Theory

Explore the connection between injective ground states of gapped Hamiltonians and TQFT, bridging topological orders with constructive quantum field theory.

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

Reverse Engineering Structural Connectivity in Brain Networks

Explore the relationship between causal and structural connectivity in brain networks. Learn techniques for reconstructing neural circuitry using pulse outputs and various causality measures.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

A Finite Dimensional Proof of the Verlinde Formula

Explore a purely algebro-geometric proof of the Verlinde formula, examining recurrence relations for curve genus and parabolic points in generalized theta function spaces.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Quasi-Dynamic System Representation of Multiple Nonlinear Regression

Explore evolutionary game theory and allometric scaling to model nonlinear relationships between variables, overcoming limitations of linear regression for complex systems analysis.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Dynamics of BCZ Cocycles and the Riemann Hypothesis

Explore the BCZ map's connection to Farey fractions, horocycle flow, and the Riemann Hypothesis. Gain insights into recent developments in BCZ cocycles and their dynamical implications.

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

Asymptotic Symmetries from the String Worldsheet - ICBS 2024

Explore asymptotic symmetries in string theory, examining AdS3 with NS-NS flux, flat spacetime, and TsT/TTbar correspondence to understand holographic dualities.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Interface and Its Fluctuation in Interacting Particle Systems - ICBS 2024

Explore particle separation in Glauber-Kawasaki dynamics, interface evolution, and fluctuations. Delve into extended research on anisotropic curvature flow and stochastic partial differential equations.

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

Equivariant K-theory Realization of the Affine i-Quantum Group

Explore equivariant K-theory's role in realizing affine i-quantum groups, focusing on type C generalizations and constructing simple/standard modules.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video