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Equivariant Degenerations of Plane Curve Orbits

HARVARD-MIT ALGEBRAIC GEOMETRY

March 3, 2020      3:00 pm
Speaker: Dennis Tseng - Harvard University

In a series of papers, Aluffi and Faber computed the degree of the GL3 orbit closure of an arbitrary plane curve. We attempt to generalize this to the equivariant setting...
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Stable pairs with a twist

HARVARD-MIT ALGEBRAIC GEOMETRY

February 25, 2020      3:00 pm
Speaker: Giovanni Inchiostro - Brown University

It is well known that, for pointed nodal curves, considering flat and proper families of pairs (X,D) leads to a proper moduli space. Still, while the notion of stable pairs...
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Brill-Noether Theory of Prym Varieties

HARVARD-MIT ALGEBRAIC GEOMETRY

February 11, 2020      3:00 pm
Speaker: Yoav Len - Georgia Tech

The talk will revolve around combinatorial aspects Prym varieties, a class of Abelian varieties that occurs in the presence of double covers. Pryms have deep connections with torsion points of...
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Mirrors of the Johnson-Kollár series

HARVARD-MIT ALGEBRAIC GEOMETRY

February 4, 2020      3:00 pm
Speaker: Giulia Gugiatti - Imperial College

I will construct LG mirrors for the Johnson-Kollár series of anticanonical del Pezzo surfaces in weighted projective 3-spaces. The main feature of these surfaces is that their anticanonical linear system...
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Special loci of rank one local systems

HARVARD-MIT ALGEBRAIC GEOMETRY

November 5, 2019      3:00 pm

Joint with Moritz Kerz. We show a structure theorem on those loci which enables us to deduce several consequences, one of which being Hard Lefschetz in rank one in positive...
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