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On Fillings of Contact Links of Isolated Quotient Singularities - Workshop on Conservative Dynamics and Symplectic Geometry

Offered By: Instituto de Matemática Pura e Aplicada via YouTube

Tags

Symplectic Geometry Courses Topology Courses Hamiltonian Dynamics Courses Contact Geometry Courses Singularity Theory Courses Orbifolds Courses

Course Description

Overview

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Explore a 59-minute lecture from the VIII Workshop on Conservative Dynamics and Symplectic Geometry, focusing on fillings of contact links of isolated quotient singularities. Delve into topics such as strong and exact fillings, terminal singularities from topological and contact topological perspectives, and orbifold symplectic cohomology. Learn about the spectral sequence from "boundary" indices and Bernoulli numbers as presented by speaker Zhengyi Zhou at IMPA in Rio de Janeiro. Gain insights into the intersection of Symplectic Topology, Hamiltonian Dynamics, Contact Geometry, and related fields in this expert-led session from a prestigious mathematical workshop.

Syllabus

Intro
Strong fillings and exact fillings
Fillings as tight criteria
Main results
Terminal singularities from a topologist's perspective
Terminal singularities from a contact topologist's perspective
Secondary coproduct
Foundations for orbifold symplectic cohomology
Properties of orbifold SH
Spectral sequence from the "boundary" indices
Bernoulli numbers


Taught by

Instituto de Matemática Pura e Aplicada

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