[math-ias] Reminder for today's Members' Seminar

[Anthony Pulido]

INSTITUTE FOR ADVANCED STUDY
School of Mathematics
Princeton, NJ 08540


Members' Seminar
Topic:         Points and lines
Speaker:     Nathaniel Bottman, Member, School of Mathematics
Time/Room:     1:15pm - 2:15pm/S-101
Abstract Link: http://www.math.ias.edu/seminars/abstract?event=113975

The Fukaya category of a symplectic manifold is a robust intersection 
theory of its Lagrangian submanifolds. Over the past decade, ideas 
emerging from Wehrheim-Woodward's theory of quilts have suggested a 
method for producing maps between the Fukaya categories of different 
symplectic manifolds. I have proposed that one should consider maps 
controlled by compactified moduli spaces of marked parallel lines in the 
plane, called "2-associahedra". In this talk I will describe the 
2-associahedra, with a focus on their topological and combinatorial 
aspects; in particular, I will produce combinatorial data that are in 
bijection with the strata of the 2-associahedra, and describe a 
generating function technique for computing the number of dimension-m 
strata in a particular 2-associahedron. I will not assume any 
familiarity with symplectic geometry.