Jenia Tevelev, University of Massachusetts, Amherst
Hypergraphic divisors, curves, and morphisms

We construct myriads of extremal divisors, rigid curves, and birational morphisms with unexpected exceptional loci for the Grothendieck-Knudson moduli space of stable rational curves. The basic tool is an isomorphism between this moduli space and a Brill-Noether locus of a very special reducible curve corresponding to a hypergraph (like a graph but "edges" are triples of vertices and not pairs). This hypergraph will actually have to be both a hypertree and a sticky figure. Joint work with Ana-Maria Castravet.

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