Algebraic Geometry

Date:  Wednesday, January 23, 2013
Location:  3088 East Hall (4:00 PM to 6:00 PM)

Title:  Configuration operads via quiver Grassmannians

Abstract:   The moduli spaces of stable marked rational curves form an operad that plays an important role in the theory of quantum cohomology. In 2006, Chen, Gibney, and Krashen introduced families of moduli spaces closely related to Fulton-MacPherson compactifications, indexed by positive integers d. For each value of d, the corresponding family forms an operad. When d=1, this family recovers the operad of stable marked rational curves. In this talk, I will discuss Chen-Gibney-Krashen spaces, and then introduce a general formalism for constructing abstract operads from certain functors. The operads so obtained contain Chen-Gibney-Krashen operads, along with much else.


Speaker:  Tyler Foster
Institution:  Yale

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