BIMSA Courses

Progression-Free Sets in Arithmetic Sequences

1 review

Explore lower and upper bounds for progression-free sets in $\mathbb{Z}_m^n$, examining the polynomial method's application to $r_k(\mathbb{Z}_m^n)$ and related problems.

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

Chaos by Nature - Trajectories of the Undecidable

1 review

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

• YouTube
• 1 hour 5 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

Detecting Quantum Anomalies in Open Systems

Explore novel approach for detecting quantum anomalies in open systems, focusing on mixed anomalies in spin chains and their distinctive characteristics in measurements.

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

Ricci Limit Spaces are Semi-Locally Simply Connected

Explore Ricci limit spaces and their semi-local simple connectivity, delving into fundamental groups and Gromov-Hausdorff convergence of Riemannian manifolds.

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

Locally Symmetric Varieties with Moduli Interpretation

Explore complex algebraic geometry, focusing on realizing moduli spaces as locally symmetric varieties through Hodge theory. Survey existing results and examine Calabi-Yau manifolds with complex hyperbolic ball periods.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Vortex Reconnection in the 3D Critical Abelian Higgs Model

Explore vortex reconnection in 3D critical Abelian Higgs model, focusing on dynamics of nearly parallel vortex filaments and their collisions in particle physics.

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