SCHOOL (AND WORKSHOP) ON THE
TRENTO, JULY 5-10,
2010
second announcement
Lecturers.
S. Boucksom (Universite de Paris VII, Fr) T. de Fernex (University of Utah, USA)
General informations on the School and Workshop.
The School/Workshop is organized by G. Casnati, M.
Mella, R. Notari, G. Pacienza. For contacting the organizers send a
mail
to
The School/Workshop is supported by CIRM-Fondazione Bruno Kessler
(formerly CIRM-ITC), by GDRE-GRIFGA financed by INdAM and CNRS and by
GNSAGA-INdAM.
The School and the Workshop will take place at
Aim of the School.
The School is mainly aimed to Phd students and young researchers
in Algebraic Geometry, introducing the participants to research,
beginning from a basic level with a view towards the applications and
to the most recent results.
S. Boucksom. The
Minimal Model Program was initiated in the early eighties by Kawamata,
Mori, Reid, Shokurov as an attempt to extend the birational
classification of surfaces to higher dimensions. The primary goal of
these lectures will be to present the fundamental tools in question,
that is the type of singularities one has to deal with, the
non-vanishing theorem, the cone theorem and the contraction theorem.
Much more recently, tremendous progress has been achieved by the joint
efforts of several people. The existence of flips has been established
as well as a certain kind of termination, which is good enough to get
the existence of minimal models for varieties of general type. Some
aspects of these developments will be discussed.
T. de Fernex. After
the recent breakthrough in the Minimal Model Program, one of the
few parts that is still missing in the program is the Termination of
Flips Conjecture. It turns out that this conjecture is related to some
subtle property of the singularities involved encoded in a conjecture
by Shokurov. These series of lectures are devoted to an overview of
this problem and a discussion of some recent progress in this
direction. After briefly presenting the motivation, the attention will
be focused on log canonical thresholds, discussing their basic
properties and proceeding through the proofs of the results that have
been obtained towards Shokurov's ACC Conjecture.
Aim of Workshop.
The Workshop is intended to discuss the state of the art. Up to now
the following speakers
have
confirmed their participation: C. Casagrande, F. Catanese, I. Cheltsov,
V. Lazic,
G. Occhetta. People interested in delivering a short
communication are kindly requested to submit the title and an
abstract within June 21st to
Schedule.
The School will start on Monday, 5th at 13.00 and it
will end on Friday, 9th at 12.30. Workshop will start on
Friday 9th at 14.30 and it will end on Saturday 10th
at 14.00. On Friday evening a social dinner open to
the participants of the School/Workshop will be organized.
Financial supports for Participants.
There are some grants covering lodging expenses in double rooms for
young participants. Applicants must fill in the online application
form before May, 29th. The organizing commitee will
examine the applications and will send out notifications of
acceptance by June 14th.
Registration.
Participants who do not require financial support are expected
to fill in the on line registration
form before June 21st.
Further announcements.
A third announcement will follow, probably in May.