Algebraic Geometry Seminar: Joontae Kim
Topic
Wrapped Floer homology of real Lagrangians and volume growth of symplectomorphisms
Speakers
Details
Floer homology has been a central tool to study global aspects of symplectic topology, which is based on pseudoholomorphic curve techniques proposed by Gromov. In this talk, we introduce a so-called wrapped Floer homology. Roughly speaking, this is a certain homology generated by intersection points of two Lagrangians and its differential is given by counting solutions to perturbed Cauchy-Riemann equation. We investigate an entropy-type invariant, called the slow volume growth, of certain symplectomorphisms and give a uniform lower bound of the growth using wrapped Floer homology. We apply our results to examples from real symplectic manifolds, including A_k-singularities and complements of a complex hypersurface. This is joint work with Myeonggi Kwon and Junyoung Lee.
Additional Information
Location: ESB 4127
Joontae Kim
Joontae Kim
This is a Past Event
Event Type
Scientific, Seminar
Date
January 8, 2018
Time
-
Location