Main Seminar: "Higher dimensional generalizations of Shafarevich's conjecture"
Mon, February 2, 2009 4:00PM - 5:00PM
| Time: | 4:00PM - 5:00PM |
| Location: | Simons Auditorium |
| Speakers: | Sandor Kovacs, Sandor Kovacs |
| Abstract: | The original Shafarevich conjecture states that for any given (not
necessarily
projective) curve B and for any given genus q, the number of non-isotrivial
smooth
families of curves of genus q is finite and there are no such families
unless
2g(B)-2+d>0 where d is the number of points needed to be added to B to make
it
projective, i.e., d=#(B'\B) where B' is a smooth projective curve containing
B as an
open subset.
In this talk I will discuss recent results towards various higher
dimensional
generalizations of this conjecture. These include results of joint efforts
with
various subsets of {Daniel Greb, Stefan Kebekus, Max Lieblich}. |
