[Dottorcomp] Seminari di Geometria e Algebra - martedi' 28 aprile

[Lidia Stoppino]

Martedì 28 aprile
in *sala riunioni piano C* alle ore 16:15
Wei Chen (Università di Roma Tre)
terrà un seminario dal titolo:

Hyperbolicity of Complements of Plane Curves with $\bar{c}_1^2 - \bar{c}_2
> 0$

Abstract: Motivated by the Green-Griffiths-Lang and Lang-Vojta conjectures,
it is expected that the algebraic exceptional set of a log-surface $(X,B)$
of log-general type—which parametrizes curves on $(X,B)$ that are not of
log-general type—is finite. This conjecture is open even for
$\mathbb{P}^2$, which is the case that we will focus on.

It turns out that the fewer irreducible components $B$ has, the more
difficult the problem is. To our knowledge, when $B$ has at least three
components, the conjecture is true; but very little is known when $B$ has
two components. In this talk, we will present a solution to the problem for
the case when $B$ has two irreducible components both with degrees at least
5, and its relation to various notions of hyperbolicity in complex and
algebraic geometry. This is work in progress.

Tutti gli interessati sono cordialmente invitati.
La sera andremo a fare un apericena al Cupolone, scrivete tempestivamente
a me, Davide e Filippo se volete venire.

-- 
-----------------------


Lidia Stoppino
Dipartimento  Matematica "F. Casorati",
Universita' di Pavia,
VIa Ferrata 5,
27100 Pavia
Ufficio C.07
Tel. +39-0382-985624
e-mail: lidia.stoppino a unipv.it