Explore a 28-minute conference talk on topological invariants of dynamic multi-parameter simplicial complexes. Delve into advanced concepts in applied algebraic topology, including ergostraining graphs, connectivity, and multiparameter simulation complexes. Learn about the probability of forming faces, dynamic versions of complexes, and phase counts. Examine stationarity, critical dimensions, and the weak limit limiting Gaussian process. Gain insights into the central limit theorem as applied to these complex mathematical structures. Conclude with a question-and-answer session to further clarify the presented concepts and their applications in the field of applied algebraic topology.
Takashi Owada - Limit Theorems for Topological Invariants of the Dynamic Multi-Parameter Simplicial Complex
Applied Algebraic Topology Network via YouTube
Overview
Syllabus
Introduction
Ergostraining graph
Connectivity
Multiparameter Simulation Complex
Probability of forming faces
Quick property
Key ingredient
Dynamic version
Phase counts
Stationarity
Critical Dimension
Target of alpha
Weak limit limiting Gaussian process
Central limit theorem
Questions
Taught by
Applied Algebraic Topology Network
