Week 2

Mon 10th--Sat 15th Sep
"Topics in HD MMP -- an instructional workshop"

The themes will include

1. Explicit Mori theory of 3-folds

2. Criteria for finite generation of graded and multigraded algebra

3. The biregular and birational geometry of Fano varieties

4. Introductory topics in Shokurov's approach to HD MMP and the
recent breakthrough of [BCHM]

5. Other topics

The workshop aims to give a first presentation of some of the ideas
behind the minimal model program for 3-folds and higher dimensional
varieties, in a way designed to be accessible to starting graduate
students. The intention is to set up a base camp by introducing the
general HD MMP, on which there have been major recent breakthroughs. We
also plan regular seminars at Warwick on these topics during the term,
and a further introductory workshop over the weekend Thu 1st--Mon 5th
Nov to mount a more concerted attack on this material, in preparation
for the major research conference Wed 12th--Thu 20th Dec 2007.

Confirmed speakers
Birkar, Brown, Caibar, Corti, Kaloghiros, Lazic, Reid,

Other possible speakers include:
Altmann, Cheltsov, Panov, Ryder, Totaro, Wemyss, Wisniewski

please register online at https://www.warwick.ac.uk/mrc/events.php

Program

Mon 10th Sep 11-12 Reid, General introduction to Mori theory and flips
Mon 10th Sep 2-3 TBA
Mon 10th Sep 4-5 Corti, Introduction to HD MMP and Shokurov algebras

Tue 11th Sep 9:30-10:30 Brown, Hypersurface flips
Tue 11th Sep 11--12 Lazic, Shokurov algebras (1)
Tue 11th Sep 2-3 Caibar, 3-fold canonical and terminal singularities (1)
Tue 11th Sep 4-5 Reid, Toric and diptych varieties (1)

Wed 12th Sep 9-10 Brown, Toric and diptych varieties (2)
Wed 12th Sep 10:30--11:30 TBA
Wed 12th Sep 12-1 Corti, Geometry of Fano 3-folds (1)

Free afternoon

Thu 13th Sep 9:30-10:30 Lazic, Shokurov algebras (2)
Thu 13th Sep 11--12 Reid, Toric and diptych varieties (3)
Thu 13th Sep 2-3 Corti, Geometry of Fano 3-folds (1)
Thu 13th Sep 4-5 Birkar, HD MMP and termination (1)

Fri 14th Sep 9:30-10:30 Kaloghiros, Geometry of Fano 3-folds
Fri 14th Sep 11--12 Birkar, HD MMP and termination (2)
Fri 14th Sep 2-3 Caibar, 3-fold canonical and terminal singularities (2)
Fri 14th Sep 4-5 Colloquium: Mark Gross (San Diego), The tropical vertex


Sat 15th Sep 10--11 TBA
Sat 15th Sep 12--1 Birkar, HD MMP and termination (3)