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Weinstein Manifolds Through Skeletal Topology - Laura Starkston

Institute for Advanced Study via YouTube

Overview

Explore Weinstein manifolds through the lens of skeletal topology in this 59-minute lecture by Laura Starkston from Stanford University. Delivered at the Princeton/IAS Symplectic Geometry Seminar, delve into topics such as arboreal singularities, Fukaya category, and the stratification of the skeleton. Examine the combinatorial list of arboreal singularities, their inductive behavior, and the process of removing cusps. Gain insights into transverse arboreal singularities and understand the unique syntactic neighborhood of skeletons. This comprehensive talk provides a deep dive into advanced concepts in symplectic geometry, offering valuable knowledge for researchers and advanced students in the field.

Syllabus

Intro
Goals
Arboreal singularities
Fukaya category
Not all skeleton has a unique syntactic neighborhood
The stratification of the skeleton
The combinatorial list
ArborealSingularities
Inductive Behavior
Cusps
Removing the cusp
Transverse arboreal singularities
Summary

Taught by

Institute for Advanced Study

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