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Complex Dynamics in the Tropics - Structures on 2- and 3-Manifolds Coming from Dynamical Systems

Offered By: Instituto de Matemática Pura e Aplicada via YouTube

Tags

Dynamical Systems Courses Fluid Dynamics Courses Manifolds Courses Hyperbolic Groups Courses Tropical Geometry Courses 3-Manifolds Courses

Course Description

Overview

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Explore complex dynamics in the tropics through a 43-minute conference talk by A. de Carvalho, focusing on structures on 2- and 3-manifolds derived from dynamical systems. Delve into topics including general constructions, multimodal maps, nonatomic measures, hyperbolic groups, and fluid dynamics. Gain insights from this presentation, part of an international congress at IMPA celebrating Carsten Lunde Petersen's 60th birthday, featuring prominent researchers discussing the state of the art in the field. Learn about parallel theory and its applications in this comprehensive mathematical exploration.

Syllabus

Introduction
General constructions
Multimodal maps
Nonatomic measures
Hyperbolic groups
The fluid
A statement
Parallel theory


Taught by

Instituto de Matemática Pura e Aplicada

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