BIMSA Courses

Categorification of Quantum Groups via Fukaya Categories

Explore advanced mathematical connections between quantum groups and Fukaya categories in this specialized algebraic topology presentation.

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

Weyl Law for the Volume Spectrum

Explore advanced geometric analysis through Weyl law applications to volume spectrum theory in this specialized mathematical research presentation.

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

Higgs and Neutrinos - Portal to the Future of Particle Physics

Explore the cutting-edge connections between Higgs bosons and neutrinos, revealing their crucial role in advancing particle physics research and future discoveries.

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

A Survey on Generalized Monge-Ampère Equations and Subvarieties

Explore advanced mathematical concepts in generalized Monge-Ampère equations and their connections to algebraic geometry through subvarieties analysis.

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

Hodge Theory of p-adic Varieties

Explore advanced Hodge theory applied to p-adic varieties through expert mathematical analysis and theoretical frameworks.

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

The Liquid Drop Model

Explore the liquid drop model in nuclear physics through advanced mathematical analysis and theoretical frameworks in this specialized physics lecture.

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

Turaev-Viro Invariant from U_q sl(2;ℝ)

Explore the mathematical construction of Turaev-Viro invariants using quantum groups and their applications in topology and knot theory.

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

Equivariant Birational Geometry

Explore advanced mathematical concepts in equivariant birational geometry through expert analysis of algebraic varieties and their symmetries.

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

Non-Abelian Rees Construction and Motives

Explore advanced algebraic geometry through non-abelian Rees construction and its applications to motivic theory in this specialized mathematical lecture.

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

Checkerboard Conformal Field Theory and Integrable Quantum Systems

Delve into advanced conformal field theory concepts through exploration of non-unitary logarithmic Fishnet CFTs, focusing on checkerboard structures, planar Feynman graphs, and integrable quantum systems.

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

Analytic Continuation of One-Loop String Amplitudes and its Evaluations

Delve into advanced string theory concepts, focusing on analytic continuation methods for one-loop amplitudes and their practical evaluation techniques in theoretical physics.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• 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
• 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

Instanton and Chern-Simons in Lattice Yang-Mills Theory from Higher Category Theory

Delve into higher category theory's application to lattice Yang-Mills theory, exploring innovative approaches to define instantons and Chern-Simons terms through multiplicative bundle gerbes.

• YouTube
• 2 hours 4 minutes
• Self-Paced
• Free Video

Solitons and Channels of Energy for Nonlinear Waves

Explore solitons and energy channels in nonlinear wave theory with renowned mathematician Carlos Kenig from University of Chicago in this advanced mathematical colloquium.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video