BIMSA Courses

The Emergent String Conjecture in Quantum Gravity

Explore the Emergent String Conjecture in quantum gravity, its origins, implications, and recent developments in theoretical physics and string theory.

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

Gauge Fields and Categorification of Quantum Group Invariants of 3-Manifolds

Explore new link and 3-manifold invariants associated with Verma modules of U_q(sl_N), their properties, and potential categorification in 3-manifold homology.

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

Moduli of Curves and Moduli of Sheaves - Relationships and Correspondences

Explore relationships between moduli spaces of curves, maps, and sheaves, from GW/DT correspondence to connections with K3 surfaces and abelian varieties moduli.

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

On the Direct Summand Conjecture and Beyond

Explore the direct summand conjecture's history, proof, and impact on commutative algebra and mixed characteristic birational geometry.

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

Gravity as a Double Copy of Gauge Theory

Explore the gravitational double copy framework, connecting gravity to Yang-Mills theory and enabling advanced quantum computations and classical general relativity studies.

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

Heuristics for the Arithmetic of Elliptic Curves and Abelian Varieties

Explore probabilistic models for elliptic curve arithmetic, examining theoretical evidence and predictions for higher-dimensional abelian varieties.

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

The Higgs Boson and the Possible Instability in Its Potential

Explore the Higgs boson's discovery, its implications, and potential instability in ultra-high energy scenarios with insights from LHC findings.

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

Understanding the Visual World Through Object Intrinsics

Explore neuro-symbolic approaches to scene and object understanding, focusing on intrinsic structures and their role in visual data interpretation and generalization.

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

Eisenstein Series - An Overview

Explore Eisenstein series in a concise, self-contained overview, gaining insights into this mathematical concept and its applications.

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

Skein Valued Counts of Open Curves in Calabi-Yau Threefolds

Explore holomorphic curve counting in Calabi-Yau threefolds using HOMFLYPT skein module, examining deformation invariance and recursion relations in non-compact cases.

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

SchNet - A Deep Learning Architecture for Molecules and Materials

Explore SchNet, a deep learning architecture for modeling atomistic systems, and its applications in predicting molecular and material properties across chemical space.

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

Positive Scalar Curvature on Manifolds and Foliations - ICBS 2024

Explore recent advances in positive scalar curvature metrics on manifolds and foliations, a key topic in differential geometry.

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

Regressing Multivariate Gaussian Distribution on Vector Covariates for Co-expression Network Analysis

Explore Fréchet regression for analyzing gene co-expression networks using population-level single-cell data. Learn to test associations between covariance matrices and covariates.

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

Polyhedra with Vertices on a Quadric

Explore combinatorial types of polyhedra with vertices on quadrics, from Steiner's 1832 question to recent findings using ideal polyhedra in various geometries.

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

Recent Progress in Geometric Langlands - ICBS 2024

Explore recent advancements in geometric Langlands theory, including verified conjectures and related questions in algebraic geometry and representation theory.

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