Critical toric surfaces and applications

Princeton/IAS Symplectic Geometry Seminar
Topic:Critical toric surfaces and applications
Speaker:Weiwei Wu
Affiliation:University of Georgia
Date:Monday, February 12
Time/Room:4:00pm - 5:00pm/Fine Hall 322, Princeton University

We introduce the notion of critical toric surfaces, with a focus on the so-call "critical toric blow-ups". These are symplectic manifolds with a toric action on the complement of an isotropic Lagrangian skeleton.  We explain some applications of this construction on new constructions of finite group actions; understanding the symplectic mapping class groups; and the construction of Lagrangian torus fibrations. This is joint work with Liat Kessler.