Lundi 19 avril 2010
IRMA
The "Joint Seminar in Algebraic and Complex Geometry" is a research seminar, organized by the research groups in Freiburg, Nancy and Strasbourg. The seminar meets roughly twice per semester in Strasbourg, for a full day. There are about four talks per meeting, both by invited guests and by speakers from the organizing universities. We aim to leave ample room for discussions and for a friendly chat.
The talks are open for everyone. Contact one of the organizers if you are interested in attending the meeting. We have some (very limited) funds that might help to support travel for some junior participants.
Lieu : salle de conférences IRMA
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Lundi 19 avril 2010
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10:30 - 11:30
Damiano Fulghesu, Strasbourg
Intersection rings of stacks of cyclic covers
The intersection theory for moduli spaces of stable curves, has been developed by D.Mumford at the beginning of the '80s. With integer coefficients, the result is known for stable elliptic curves and for smooth curves of genus 2, thanks to contributions of D.Edidin, W.Graham and A.Vistoli. In a joint work with F.Viviani, we consider the stacks of smooth curves with a cyclic cover of the projective line, and we give a complete presentation of their intersection rings. As a particular case we get the Chow ring of the moduli space of smooth hyperelliptic curves. -
11:45 - 12:45
Gergely Berczi, Oxford
Thom polynomials and the Green-Griffiths conjecture
Abstract: The Green-Griffiths conjecture from 1979 says that every projective algebraic variety X of general type contains a certain proper algebraic subvariety Y such that all nonconstant entire holomorphic curves in X must lie inside Y. In this talk I explain that for projective hypersurfaces of degree d>dim(X)^6, following the strategy of Demailly and Diverio/Merker/Rousseau, this is the consequence of a positivity conjecture in global singularity theory. -
14:30 - 15:30
Jun-Muk Hwang, KIAS, Seoul
Projective normality of compact complex hyperbolic manifolds
We will discuss a sufficient condition for the pluri-canonical system of a compact complex hyperbolic manifold to be projectively normal in terms of the hyperbolic injectivity radius. This is a joint work with Wing-Keung To. -
16:00 - 17:00
Carlo Gasbarri, Strasbourg
Geometric Transcendence theory
I will describe my recent works on the interactions between transcendence theory, nevanlinna theory and algebraic geometry. In particular I will describe my recent work on the generalizations of the theorems by Schneider Lang, Siegel-Shidlowski. In the end of the talk I will describe recent work in progress on the rational points on disks which are leaves of foliations.