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Equivariant Fukaya Categories at the Singular Value

Offered By: M-Seminar, Kansas State University via YouTube

Tags

Fukaya Categories Courses Algebraic Geometry Courses Homological Algebra Courses Algebraic Topology Courses Category Theory Courses Mirror Symmetry Courses Symplectic Geometry Courses

Course Description

Overview

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Explore equivariant Fukaya categories and their relation to Hamiltonian reductions in this lecture by Yanki Lekili from Imperial College London. Delve into new conjectures and examples connecting wrapped Fukaya categories of symplectic manifolds with Hamiltonian S^1 actions to their Hamiltonian reductions. Examine topics such as Korean comology, simplexic topology, and mirror algebraic variety. Investigate key observations, general conjectures, and surprising elements in the field. Learn about invertible elements, lambda components, and sympathetic reduction. Analyze the concepts of regular value, C tier structure, and relative category. Gain insights from this joint work with Ed Segal, presented at the M-Seminar at Kansas State University.

Syllabus

Introduction
Korean Comology
Example
Simplexic topology
Key observation
General conjecture
Surprise
Invertible elements
Lambda components
Sympathetic reduction
Regular value
Mirror algebraic variety
C Tier Structure
Relative category


Taught by

M-Seminar, Kansas State University

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