Category Weight Estimates of Minimal Triangulations
Offered By: Applied Algebraic Topology Network via YouTube
Course Description
Overview
Explore category weight estimates for minimal triangulations in this 50-minute lecture by Petar Pavešić. Delve into the challenges of determining the smallest possible triangulation for manifolds and polyhedra in computational studies. Learn how LS-category methods can provide lower bounds for vertex counts in space triangulations. Examine the classical problem of finding the minimal number of simplices required for triangulating a given space. Discover the joint research findings with Dejan Govc and Waclaw Marzantowicz on this topic in combinatorial geometry. Cover key concepts including explicit triangulation, minimal triangulations, good colors, and CT of X. Engage with questions and remarks to deepen understanding of this complex subject in applied algebraic topology.
Syllabus
Introduction
Explicit triangulation
Minimal triangulations
Point of view
Good colors
CT of X
The problem
Questions
Question
Remarks
Taught by
Applied Algebraic Topology Network
Related Courses
Introduction to Algebraic Topology (Part-I)Indian Institute of Technology Bombay via Swayam Introduction to Algebraic Topology (Part-II)
NPTEL via Swayam Intro to the Fundamental Group - Algebraic Topology with Tom Rocks Maths
Dr Trefor Bazett via YouTube Neural Sense Relations and Consciousness - A Diagrammatic Approach
Models of Consciousness Conferences via YouTube Classification of 2-Manifolds and Euler Characteristic - Differential Geometry
Insights into Mathematics via YouTube