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Slideshow

Tags: Seminars

Title: Conductors and minimal discriminants of hyperelliptic curves: a comparison in the tame case Abstract: Conductors and minimal discriminants are two measures of degeneracy of the singular fiber in a family of hyperelliptic curves. In genus one, the Ogg–Saito formula shows that these two invariants are equal, and in genus two, Qing Liu showed that they are related by an inequality. We extend Liu’s inequality to hyperelliptic curves of…
  Speaker: B. Bakker, UGA Title of talk: o-minimal GAGA and a conjecture of Griffiths Abstract: Hodge structures on cohomology groups are fundamental invariants of algebraic varieties; they are parametrized by quotients $D/\Gamma$ of period domains by arithmetic groups. Except for a few very special cases, such quotients are never algebraic varieties, and this leads to many difficulties in the general theory. We explain how to partially…
Title of talk: Eigenvalues of automorphisms of hyperkahler manifolds Abstract: Let T be a complex automorphism of a hyperkahler manifold M acting on the second cohomology with an eigenvalue $a^2>1$ (such an automorphism is called hyperbolic, or loxodromic). I would show that all eigenvalues of T on cohomology of M are equal in absolute value to integer powers of a, and the eigenspaces corresponding to the eigenvalue $a^{p-q}$ have the same…
Algebra Seminar Organization Meeting
Title of talk: "Contact structures on some hyperbolic 3-manifolds" Abstract: There is a fundamental dichotomy in the world of contact topology: Tightness and overtwistedness. Ever since Eliashberg classified overtwisted contact structures on 3-manifolds, more recent studies focus on the classification of tight contact structures. There have been several results on many Seifert fibered spaces and toroidal manifolds. In this talk we review…

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