Algebraic Geometry Seminar: Joontae Kim

  • Date: 01/08/2018
  • Time: 16:00
Lecturer(s):
Joontae Kim
Location: 

University of British Columbia

Topic: 

Wrapped Floer homology of real Lagrangians and volume growth of symplectomorphisms

Description: 

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.

Other Information: 

Location: ESB 4127