For Favour of Posting
Department of Mathematics
The Chinese University of Hong Kong
數學系
香港中文大學
Phone: (852) 3943 7988  Fax: (852) 2603 5154  Email: dept@math.cuhk.edu.hk (Math. Dept.)
Room 220, Lady Shaw Building, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong
Invariants of Functions on
Symplectic Surfaces and Ideal
Hydrodynamics
Professor Boris Khesin
University of Toronto
Abstract
We describe a classification of generic coadjoint orbits for the groups of
symplectomorphisms and Hamiltonian diffeomorphisms of a closed symplectic surface. We
also describe invariants of simple Morse functions on symplectic surfaces with respect to
actions of those groups. This gives an answer to V.Arnold's problem on describing all
invariants of generic isovortex fields for the 2D ideal fluids. For this we introduce a notion
of anti-derivatives on a measured Reeb graph and describe their properties. This is a joint
work with Anton Izosimov and Mehdi Mousavi.
Date :
Time :
Venue :
October 22, 2015 (Thursday)
11:00am – 12:00noon
Room 222, Lady Shaw Building,
The Chinese University of Hong Kong
All are Welcome