Topology Seminar (Introductory Talk): Introduction to open book decompositions and Lefschetz fibrations

Seminar | November 15 | 2-3 p.m. | 740 Evans Hall

 Bahar Acu, Northwestern

 Department of Mathematics

The global topology and geometry of symplectic and contact manifolds have undergone a vast expansion over the past two decades following the groundbreaking results of Giroux who outlined a program for characterizing high dimensional contact manifolds in terms of open book decompositions with certain symplectic pages, of Gromov who introduced pseudoholomorphic curve theory studying solutions to Cauchy-Riemann like PDEs and also of Donaldson introducing Lefschetz fibrations on symplectic 4-manifolds. In this talk, we will introduce these notions and concepts and explain how they intertwine with one another.