BIMSA Courses

Difference of Sums-of-Squares Decompositions for Polynomials - ICBS 2024

Explore advanced polynomial decomposition techniques, focusing on D-SOS and DC-SOS, to enhance understanding of algebraic structures and tackle complex optimization problems.

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

Category of SET Orders - Representation Principle for Symmetry Enriched Topological Orders

Explore the representation principle for symmetry enriched topological orders, covering defects, boundaries, symmetry charges, and generalized gauging in physical systems.

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

From Combinatorics to Real World Scattering - ICBS 2024

Explore combinatorial geometries in QFT and string theory, focusing on a new formulation for scattering of colored scalars, pions, and gluons.

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

On the Enclosed Volume of Constant Mean Curvature Surfaces in the 3-Sphere and Euclidean 3-Space

Explore constant mean curvature surfaces in 3D spaces, computing area and enclosed volume using flat connection invariants. Joint work insights included.

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

Multivariable (φ, Γ)-Modules and Local-Global Compatibility

Explore multivariable $(\varphi, \Gamma)$-modules, extending Colmez's construction to $\mathrm{GL}_2(K)$ representations and comparing with Galois representations in mod $p$ cohomology of Shimura curves.

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

Black Holes from Supercharge Cohomology

Explore supercharge cohomology in holographic CFTs, classifying into monotone and fortuitous types, and examine their connections to smooth geometries and black holes in N=4 super-Yang-Mills theory.

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

Recent Advances in Learning Quantum Phenomena

Explore recent advances in learning quantum phenomena, focusing on statistical inference and applications in quantum computation verification.

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

Measurement Induced Criticality in Monitored Quantum Systems

Explore measurement-induced criticality in quantum systems, examining non-local impacts of quantum collapse and novel collective effects. Learn about experimental challenges and innovative diagnostic approaches.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Toward a Density Corradi-Hajnal Theorem for Degenerate Hypergraphs - ICBS 2024

Explore density Corrádi-Hajnal theorem for degenerate hypergraphs, examining extremal constructions across intervals and characterizing them for graphs and specific nondegenerate hypergraphs.

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

Construction of Collapsing Spacetimes in Vacuum - ICBS 2024

Explore the construction of collapsing spacetimes in vacuum, featuring black hole regions and Cauchy hypersurfaces, without symmetries.

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

Quadratic Transform for Fractional Programs in Signal Processing and Machine Learning

Explore advanced fractional programming techniques for signal processing and machine learning, focusing on the quadratic transform method and its applications to complex optimization problems.

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

Construction of Solution Landscape for Complex Systems

Explore the novel "Solution Landscape" concept and its applications in complex systems, including nematic liquid crystals, crystalline phases, and Bose-Einstein condensates.

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

Reverse-Mathematical Reconsideration of Lower-Level Borel Games

Explore determinacy strength of Gale-Stewart games through Reverse Mathematics, examining collapse phenomena in boolean combinations of Fσ sets and their implications.

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

Neutron Spectroscopy Studies of Kitaev Quantum Magnets

Explore Kitaev quantum magnets through neutron spectroscopy, examining the Kitaev model, its realization in α-RuCl3, and extension to higher-spin systems like Na3Ni2BiO6.

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

The Global Unramified Geometric Langlands Equivalence

Explore the global unramified geometric Langlands conjecture, its history, motivation, and recent proof, along with remaining open questions in the field.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video