Zoom link:  https://princeton.zoom.us/j/91248028438

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I will talk about several results on the geometry of moduli spaces of rational curves on smooth Fano threefolds. The key question that I will discuss is: what can be said about the number of irreducible components of the moduli space as the anti-canonical degree of the curves increases?
 

This is joint work with Brian Lehmann, Eric Riedl, and Sho Tanimoto.