Seminar series
Date
Mon, 29 Apr 2013
Time
15:45 -
16:45
Location
L3
Speaker
Ivan Smith
Organisation
Cambridge
Exact Lagrangian immersions are governed by an h-principle, whilst exact Lagrangian
embeddings are well-known to be constrained by strong rigidity theorems coming from
holomorphic curve theory. We consider exact Lagrangian immersions in Euclidean space with a
prescribed number of double points, and find that the borderline between flexibility and
rigidity is more delicate than had been imagined. The main result obtains constraints on such
immersions with exactly one double point which go beyond the usual setting of Morse or Floer
theory. This is joint work with Tobias Ekholm, and in part with Ekholm, Eliashberg and Murphy.