ncku-talk2014-05-07

NCTS(South)/ NCKU Math Colloquium

DATE 2014-05-07　14:10-15:00

PLACE R204, 2F, NCTS, NCKU

SPEAKER Professor Viktor Ginzburg（University of California at Santa Cruz）

TITLE Periodic Orbits of Hamiltonian Systems

ABSTRACT Since the time of Newton, periodic orbits have played a central rolein the study of dynamical systems. In general, Hamiltonian systemsmeeting certain simple natural requirements tend to have an abundanceof periodic orbits. However, proving their existence is often a highlynon-trivial task leading to new insights (e.g., the Arnold conjectureand the Weinstein conjecture) and requiring new methods (e.g., the Floerhomology) of interest and importance to many areas of mathematics. Inthis non-technical talk we will focus on the existence problem for periodic orbitsin the context of symplectic geometry and discuss some of the recentresults and conjectures.

NCTS(South)/ NCKU Math Colloquium

DATE	2014-05-07　14:10-15:00

PLACE	R204, 2F, NCTS, NCKU

SPEAKER	Professor Viktor Ginzburg（University of California at Santa Cruz）

TITLE	Periodic Orbits of Hamiltonian Systems

ABSTRACT	Since the time of Newton, periodic orbits have played a central rolein the study of dynamical systems. In general, Hamiltonian systemsmeeting certain simple natural requirements tend to have an abundanceof periodic orbits. However, proving their existence is often a highlynon-trivial task leading to new insights (e.g., the Arnold conjectureand the Weinstein conjecture) and requiring new methods (e.g., the Floerhomology) of interest and importance to many areas of mathematics. Inthis non-technical talk we will focus on the existence problem for periodic orbitsin the context of symplectic geometry and discuss some of the recentresults and conjectures.