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Erica Flapan - Topological and Geometric Symmetries of Molecular Structures

Offered By: Applied Algebraic Topology Network via YouTube

Tags

Topology Courses Geometry Courses

Course Description

Overview

Explore topological and geometric approaches to studying symmetries of complex molecular structures in this 54-minute lecture. Discover how chemists use experimental data to verify the form of synthesized molecules too small for microscopic observation. Learn about matching symmetry data to physical models, addressing challenges with non-rigid molecules, and applying topology to interpret molecular structures. Delve into mathematical definitions, molecular examples, and concepts like Euclidean rubber gloves and topological chirality. Examine different types of chirality, topological rubber gloves, and targets of synthesis. Investigate metal template synthesis of knots and links, and ponder the possibility of knotted topological rubber gloves.

Syllabus

Intro
Using symmetry data
Non-rigid symmetries
Mathematical Definition
A molecular example
An Example
Euclidean rubber glove
A topological approach to chirality
Different types of chirality
Topological rubber gloves
Targets of synthesis
Metal template synthesis of knots and links
Knotted topological rubber glove?


Taught by

Applied Algebraic Topology Network

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