Working Seminar on Symplectic/Contact Geometry/Topology  RSS

Sessions

27/03/2012, 10:30 — 11:30 — Room P4.35, Mathematics Building
Daniele Sepe, CAMGSD/IST

Lecture V - Non-degenerate singularities

Having established several structural results for Lagrangian fibrations which are submersions in the first four sessions, this lecture aims to study a more general class of fibrations which allows for topologically well-behaved (i.e. Morse-Bott in some sense) singularities. These naturally arise in the theory of completely integrable Hamiltonian systems (e.g. if the phase space is compact, they must exist) and in mirror symmetry. The notion of non-degenerate singularities is introduced and illustrated with several examples. Time permitting, the Eliasson-Miranda linearization theorem for non-degenerate singularities is going to be studied in some detail (but probably without proof).

See also

https://www.math.tecnico.ulisboa.pt/~jmourao/inves/D_Sepe_Lagrangian_Fibrations.pdf

Current organizer: Miguel Abreu

CAMGSD
a unit of the Associate Laboratory LARSyS