UC Berkeley

Commutative Algebra and Algebraic Geometry Seminar

April 29, 2008

939 Evans Hall


3:45PM: Hypergraphic divisors, curves, and morphisms

Jenia Tevelev

The birational geometry of the Grothendieck-Knudson moduli space of stable rational curves is still largely a mystery. It is not known if the cone of effective divisors is polyhedral, if the cone of effective curves is generated by 1-strata (Fulton's conjecture), if it has only finitely many small modifications, and so on. In a joint work with Ana-Maria Castravet, we found out that some of this complexity can be explained by the fact that this moduli space can be interpreted as the Brill-Noether locus of a bunch of very special reducible curves related to hypergraphs. Using this we constructed myriads of new extremal divisors and rigid curves.

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5:00PM: Homological Dimension and the Continuum Hypothesis (after Osofsky)

Nam Trang

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