Daniel Krashen

Stable pointed trees of projective spaces

Abstract : In this talk I will describe higher dimensional analogues of the moduli spaces of stable pointed rational curves, introduced in joint work with Chen and Gibney. The spaces we define parametrize certain singular marked schemes which we refer to as stable pointed trees of projective spaces, and is closely related to the Fulton-MacPherson configuration spaces. I will give a survey of what we know about this collection of spaces and their operadic structure, and describe various open questions.