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The Equivalence of Ekeland-Hofer and Equivariant Symplectic Homology Capacities

Instituto de Matemática Pura e Aplicada via YouTube

Overview

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Explore the equivalence of Ekeland-Hofer and equivariant symplectic homology capacities in this conference talk delivered by Vinicius Ramos from IMPA at the X Workshop on Conservative Dynamics and Symplectic Geometry. Delve into advanced concepts in symplectic topology and its applications to Hamiltonian dynamics as part of this special 20th anniversary edition of the workshop. Learn about the mathematical connections between different capacity theories in symplectic geometry, examining how Ekeland-Hofer capacities relate to equivariant symplectic homology capacities. Gain insights into cutting-edge research in conservative dynamics and symplectic geometry from one of Brazil's leading mathematical research institutes. Discover applications to contact geometry, dynamics of Lagrangian systems, twist maps, integrable systems, and Aubry-Mather theory as presented in this specialized mathematical conference setting designed to foster informal discussions among experts in the field.

Syllabus

X Workshop on Conservative Dynamics and Symplectic Geometry - Vinicius Ramos (IMPA)

Taught by

Instituto de Matemática Pura e Aplicada

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