October 28 (11:00): Alexei Oblomkov

Title: Moduli space of quilts and relative Fulton-MacPherson spaces

Abstract:

Talk is based on the joint work with Nate Bottman. Motivated by the quilt theory in symplectic geometry we introduce some natural compactification of the moduli space of pointed vertical lines. The topological structure of this is determined by the Gromov convergence, we provide this space with the structure of an algebraic variety and show this space has at most toric normal lci singularities. We also give an interpretation of these spaces in terms of relative Fulton-MacPherson spaces.

In my talk I will concentrate on the simplified version of or construction that provides us with an explicit atlas on the space of stable pointed rational curves.