BIMSA Courses

Quantization Commutes with Reduction: The Quantum GIT Conjecture - ICBS 2024

Explore the latest results in quantum reduction, comparing gauged and symplectic-reduced 2D A-models. Delve into quantum cohomologies in monotone cases and intriguing conjectures.

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

Recent Progress in Ramsey Theory

Explore recent advancements in Ramsey Theory, focusing on new techniques and proofs related to Ramsey numbers and graph coloring. Gain insights into geometric, algebraic, probabilistic, and combinatorial methods.

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

Average Heights of Abelian Varieties with Complex Multiplication

Explore the arithmetic properties of abelian varieties with complex multiplication, focusing on Colmez's conjecture and its implications for periods and L-functions.

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

AI-Enabled Complex Phenomena in Creative Arts

Explore AI's role in harmonizing complex phenomena with creative arts, including fluid stylization techniques used in Disney-Pixar's "Elemental".

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

Heights of Algebraic Cycles and Special Values of L-Series - ICBS 2024

Explore heights of algebraic cycles and their connections to L-series special values, focusing on CM points and Gross-Schoen cycles on elliptic curves.

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

Finiteness Questions for Étale Coverings with Bounded Wild Ramification at the Boundary

Explore finiteness questions for étale coverings with bounded wild ramification at the boundary in characteristic p>0 algebraic geometry, including recent work and open problems.

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

Applications of Additive Combinatorics to Problems in Fractal Geometry

Explore applications of additive combinatorics in fractal geometry, focusing on self-similar sets with overlaps and recent advancements in the field.

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

Pulsar Polarization Array: Exploring Astrophysics and Dark Matter Detection

Explore Pulsar Polarization Array methodology for detecting gravitational waves and dark matter. Learn about its synergy with Pulsar Timing Array in astrophysics and fundamental physics research.

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

Computing Differentials in the Adams Spectral Sequence and the Last Kervaire Invariant Problem

Explore advanced methods for computing differentials in the Adams spectral sequence and uncover recent progress on the Last Kervaire Invariant Problem in dimension 126.

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

Empowering the Data Science Ecosystem for Whole Genome Sequencing Analysis Using ML Methods and Tools

Explore advanced methods for analyzing whole genome sequencing data using machine learning and ensemble techniques. Learn to leverage biobanks and electronic health records for powerful genetic insights.

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

Structures Robust Under Randomness - Probabilistic Combinatorics and Thresholds

Explore robustness of discrete system substructures under random subsampling, examining thresholds in random graphs and key conjectures in probabilistic combinatorics.

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

Constancy of Surface Gravity for Non-Degenerate Compact Horizons

Explore non-degenerate compact horizons, surface gravity constancy, and connections to cosmic censorship in general relativity.

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

Unbroken Center Symmetry Implies Quark Confinement - A Rigorous Proof

Explore a rigorous mathematical proof confirming the physics heuristic that unbroken center symmetry leads to quark confinement in lattice gauge theories.

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

Understanding the Relationship Between the Schramm-Loewner Evolution and the Gaussian Free Field

Explore the connection between Schramm-Loewner Evolution, Gaussian Free Field, and Liouville Quantum Gravity through a novel, accessible approach for non-specialists.

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

Solving High-Dimensional Partial Differential Equations Using Deep Learning

Explore deep learning algorithms for solving high-dimensional PDEs, overcoming dimensionality challenges in scientific computing applications.

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