, Sun Moon Lake Teachers Hotel
Invited Speakers:
Yujiro Kawamata (University of Tokyo& NCTS)
Yuan-Pin Lee (Academia Sinica)
Organizers:
Jungkai Chen (National Taiwan University)
Program
13:00-13:50 Part1 of Kawamata
14:00-14:50 Part 2 of Kawamata
14:50-15:10 Coffee Break
15:10-16:00 Part 1 of Yuan-Pin
16:10-17:00 Part 2 of Yuan-Pin
Title and Abstract
Title: Curve counting and stable quotient
Speaker: Yuan-Pin Lee (Utah)
Abstract: I will give an introduction to curve counting. Then recent progress in counting curves via the stable quotients will be discussed, particularly the work of Lho and Pandharipande.
Title: Remarks on a theorem of Fujita.
Speaker: Yujiro Kawamata
Abstract:
The semi-positivity theorem states the following: let
be a surjective morphism from a compact K"ahler manifold to a projective manifold whose fibers are connected. Assume that there are normal crossing divisors
and
on
and
, respectively, such that
set-theoretically and such that
is smooth on
. Assume that the local monodromies are unipotent. Then
is a locally free sheaf which is numerically semi-positive. A theorem of Fujita says that, if
, then there is a decomposition
, where
is an ample vector bundle and $U$ has a unitary flat connection. A result by Catanese and Dettweiler states that there are many examples where
is not semi-ample. I will explain these results and a generalization to the case where
is arbitrary.
This is a joint work with Fabrizio Catanese.
Contact: Peggy Lee,peggylee@ncts.ntu.edu.tw, 02-3366-8815