BIMSA Courses

Towards a Mod p Langlands Correspondence for GL2

Explore the mod $p$ Langlands correspondence for $\mathrm{GL}_2(K)$, examining conjectures and recent progress in this open area of mathematical research.

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

The Important Roles of Modeling in the Development of Climate Science

Explore the evolution of climate science through modeling, from simple energy balance models to sophisticated Earth System Models, and their role in understanding and predicting climate change.

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

Integrated Optical Communication and Distributed Sensing Systems

Explore integrated optical communication and distributed sensing systems, their applications, and potential for enhancing network reliability and environmental monitoring.

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

New Minimal Surfaces in S^3 and B^3 via Eigenvalue Optimization

Explore new methods for producing minimal surfaces in $S^3$ and $B^3$ through spectral geometry optimization, addressing topological realization and low-area surface growth.

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

Entropic Optimal Transport: Convergence Rates and ODE Characterization

Explore recent advances in entropic optimal transport, focusing on convergence rates and a novel ODE-based numerical method for multi-marginal problems. Gain insights into theoretical bounds and practical applications.

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

Hard and Easy Constraint Problems - ICBS 2024

Explore the Constraint Satisfaction Problem framework, its connections to various fields, and the resolution of the Feder-Vardi conjecture on efficiently solvable CSPs.

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

Rotationally Invariant First Passage Percolation: Scaling Relations and Chaos - ICBS 2024

Explore rotationally invariant first passage percolation, scaling relations, and chaos in KPZ universality class through multi-scale analysis and geodesic behavior.

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

A Classification Theorem for Compact Cauchy Horizons in Vacuum Spacetimes

Explore a complete classification theorem for compact, non-degenerate Cauchy horizons in vacuum spacetimes, examining topology, generator behavior, and manifold implications.

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

Properties of the Unit Distance Graph of the Plane

Explore properties of the unit distance graph of the plane, including the Hadwiger-Nelson problem, Erdos' conjecture, and fractional chromatic number.

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

P-Form Symmetries in Functorial Quantum Field Theory

Explore p-form symmetries in functorial quantum field theory, focusing on implementing finite group global and gauged symmetries in TQFT using cohomology-decorated bordisms.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Defects in Quantum Field Theory and Applications

Explore defects in quantum field theory and their applications with expert insights from Zohar Komargodski. Gain advanced knowledge in this cutting-edge area of theoretical physics.

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

An Effective and Adequate Theory of Real Computation with Applications

Explore an effective theory of real computation, addressing inadequacies in current approaches and discussing applications in scientific and engineering disciplines.

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

Total Positivity: Combinatorics, Geometry and Representation Theory

Explore total positivity theory in matrices, its applications, and recent developments in combinatorics, geometry, and representation theory.

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

Universally Counting Curves in Calabi-Yau Threefolds - ICBS 2024

Explore enumerative geometry through a new perspective on curve counting in complex threefolds, focusing on the Grothendieck group of 1-cycles and universal curve enumeration invariants.

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

Sampling for View Synthesis: From Local Light Field Fusion to Neural Radiance Fields and Beyond

Explore view synthesis techniques, from local light field fusion to neural radiance fields. Learn about sampling guidelines, scene representations, and advancements in image-based rendering for complex real-world scenes.

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