Seminar
| Parent Program: | -- |
|---|---|
| Location: | SLMath: Eisenbud Auditorium |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
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}.