Explore the fascinating world of chirality and quantifying embeddability in this 42-minute lecture by Florian Frick. Delve into the combinatorics of triangulations and their role in providing upper bounds for the topology of embedding spaces. Discover generalizations of classical non-embeddability results and gain insights into the concept of achirality in spatial embeddings. Learn about chemical topology, molecular Möbius strips, and the progression from non-embeddability to chirality. Examine chirality labels, higher a-chirality, and the elements of proof involved. Investigate the mapping of embeddings, non-singular bilinear maps, and their connection to chirality. Gain a deeper understanding of these complex mathematical concepts and their applications in topology and geometry.
Overview
Syllabus
Introduction
Goals
Chemical topology
Molecular mobius strips
Nonembeddability to chirality
General nonembeddability
Chirality result
Chirality labels
Higher a chirality
Elements of a proof
A map of embeddings
What happens to the sky
Nonsingular bilinear maps
Chirality or bilinear maps
No common binomial coefficients
Taught by
Applied Algebraic Topology Network
