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SEMINARS
Singular Lagrangian fibrations and integrable Hamiltonian systems
时间  Datetime
2019-12-20 14:00 — 15:00 
地点  Venue
Large Conference Room(706)
报告人  Speaker
Konstantinos Efstathiou
单位  Affiliation
Duke Kunshan University
邀请人  Host
Tudor
报告摘要  Abstract

Understanding the topology and geometry of the singular Lagrangian fibrations of integrable

Hamiltonian systems is important for problems as disparate as the structure of the joint

spectrum of integrable quantum systems and the SYZ conjecture in mirror symmetry.

In this talk we will review results on the topological and symplectic classification of integrable

Hamiltonian systems, including Duistermaat's work on global action-angle coordinates,

Delzant's classification of systems with a Hamiltonian torus action of maximal dimension,

and more recent results on classification. Then we will focus on Hamiltonian monodromy

and its generalizations and present recent results associating monodromy to the topology

of a certain circle bundle (for standard monodromy) or a Seifert fibration (for generalized

monodromy).