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Distinguishing Monotone Lagrangians via Holomorphic Annuli - Ailsa Keating

Offered By: Institute for Advanced Study via YouTube

Tags

Symplectic Geometry Courses Moduli Space Courses

Course Description

Overview

Explore a comprehensive lecture on distinguishing monotone Lagrangians through holomorphic annuli, presented by Ailsa Keating from the University of Cambridge. Delve into the intricate world of symplectic geometry as part of the IAS/PU-Montreal-Paris-Tel-Aviv Symplectic Geometry series. Begin with an introduction to the topic, followed by a detailed construction and illustrative examples. Examine the flow homology principle and its applications in geometric mutation. Investigate isomorphic objects and revisit the earlier example from a new perspective. Analyze the moduli space and the phenomenon of disc bubbling. Conclude with a theorem that ties together the concepts discussed throughout the lecture, providing a deeper understanding of monotone Lagrangians and their distinguishing features in symplectic geometry.

Syllabus

Introduction
Construction
Example
Flow homology principle
Geometric mutation
Isomorphic objects
Example from above
Moduli space
Disc bubbling
Theorem


Taught by

Institute for Advanced Study

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