BIMSA Courses

Rationality Problems in Algebraic Geometry - ICBS 2024

Explore geometric ideas and constructions in the study of rationality of higher-dimensional algebraic varieties, focusing on recent developments and challenges.

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

Stability of Sobolev Inequalities - ICBS 2024

Explore quantitative stability of Sobolev inequalities, focusing on Struwe's decomposition and recent advancements in dimensional-dependent estimates for multiple bubbles in various dimensions.

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

Mass-Capacity Inequalities and Their Implications in Asymptotically Flat Manifolds

Explore mass-capacity inequalities in asymptotically flat manifolds, their sharp lower bounds, and applications in Riemannian geometry and general relativity.

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

Entropy Analysis and Singularities of Solutions for Nonlinear Hyperbolic Conservation Laws

Explore entropy analysis and singularities in nonlinear hyperbolic conservation laws. Gain insights into open problems, minimal entropy conditions, and phenomena like cavitation and concentration.

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

Recent Progress on Minimal and Constant Mean Curvature Surfaces

Explore recent advancements in the existence theory of minimal and constant mean curvature surfaces, surveying cutting-edge developments in this mathematical field.

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

Bulk Locality and Quantum Error Correction in Holography

Explore quantum gravity through AdS/CFT correspondence, unraveling the emergence of local physics and its connection to quantum error correction.

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

The Next Big Gravitational Wave Discovery - Continuous Sources

Explore the future of gravitational wave astronomy, focusing on continuous sources and their potential for groundbreaking discoveries in the field.

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

Physics Motivation for Future High Energy Colliders - ICBS 2024

Explore the physics motivation for future high-energy colliders, examining unanswered questions in particle physics and the need for new discoveries beyond the Standard Model.

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

Energy, Mass, and Angular Momentum in General Relativity

Explore the complexities of defining energy, mass, and angular momentum in general relativity, addressing challenges posed by coordinate independence.

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

Sheaves on Calabi-Yau 4-folds and Virtual Invariants - An Overview

Explore developments in enumerative geometry on Calabi-Yau 4-folds, including point counting, curve counting, and surface counting, with connections to string theory and physics.

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

Structure of Equivariant Derived Categories - ICBS 2024

Explore equivariant derived categories, their structure theorems, and applications to GIT quotients and hidden symmetries in algebraic geometry.

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

Higher Symmetries in Quantum Field Theory from String Theory

Explore higher symmetries in quantum field theory through string theory on singular special holonomy spaces. Uncover their origins and implications in compact spaces and F-theory duals.

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

Cosmological Relaxation of the Electroweak Scale

Explore a novel approach to the electroweak hierarchy problem through cosmological evolution, challenging traditional solutions and expanding our understanding of early Universe dynamics.

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

Modularity of Donaldson-Thomas Invariants on Compact Calabi-Yau Threefolds

Explore Donaldson-Thomas invariants, their connection to BPS indices, and modular behavior in string theory. Gain insights into computational methods and applications to Gopakumar-Vafa invariants and topological string amplitudes.

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

Geometry of Dimer Models - ICBS 2024

Explore asymptotic phenomena in random dimer coverings, focusing on Aztec diamonds and their connection to Riemann surface geometry.

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