TOMMASO DE FERNEX

Professor - University of Utah

FRG MINI-WORKSHOP - FALL 2014

Foliations with effective anti-canonical bundle

The goal of this workshop is to discuss some recent results on the classification/structure of foliations on projective varieties having effective anti-canonical bundle. Two main classes of foliations are going to be discussed:

  • Fano foliations. These are the foliations with ample anti-canonical bundle. They have been investigated by Araujo and Druel.
  • Foliations with trivial canonical class. These are the foliations with numerically trivial canonical bundle. Most of the results so far have focused on codimension one foliations. The smooth case has been investigated by Touzet and the general case by Loray, Pereira and Touzet.
Main lecturers of the workshop are Stéphane Druel and Jorge Vitorio Pereira. More information on the contents of the workshop can be found here.

Program
Date & Time Speaker Title
Fri Dec 5
3:00-4:00 Jorge Vitorio Pereira Classification of low degree foliations on projective spaces
4:00-4:30 Coffee break
4:30-5:30 Christopher Hacon Birational classification of foliations on surfaces I
Sat Dec 6
9:00-9:30 Coffee
9:30-10:30 Christopher Hacon Birational classification of foliations on surfaces II
11:00-12:00 James McKernan Rational curves on foliated varieties
12:00-2:00 Lunch break
2:00-3:00 Stéphane Druel Fano foliations I
3:00-3:30 Coffee break
3:30-4:30 Jorge Vitorio Pereira Foliations with trivial canonical class I
Sun Dec 7
9:00-9:30 Coffee
9:30-10:30 Stéphane Druel Fano foliations II
11:00-12:00 Jorge Vitorio Pereira Foliations with trivial canonical class II
Venue

University of Utah, December 5-7, 2014

All talks are in LCB Builing of the Math Department, Room 225. During the weekend the glass door will be closed but the main door on the front of the building will be open.

Please refer to the interactive campus map to locate the LCB Building as well as the University Guest House.

To reach campus or the Guest House from the airport, taxis are about $25. Alternatively, there is the Trax (a city train, please refer to Rail System Map) which run from the airport to downton (green line, from Airport to Courthouse), where you change to another Trax train that brings you to campus and the Guest House (red line, from Courthouse to Stadium 1349 E 500 S and, respectively, Fort Douglas, 200 S Wasatch Dr)

Registration

There is no formal registration, everyone is welcome to attend. If you plan to attend and would like to request financial support and/or logding arrangemenents, please send an email to Gail Howick (cc Tommaso de Fernex) including the following information:

  • Your name and affiliation. If you are a student, include name of advisor.
  • Are you applying for financial support?
  • Do you need accommodation? If yes, provide dates of travel. You can email them later if not known them yet, but remember that we cannot make a reservation until we have this information.
Participants will be lodged at the University Guest House. We have blocked some rooms at the Guest House. The cutoff date is November 5, 2014. After that, reservations are subject to availability. We expect to be able to fully fund all participants.

If you have any question, please contact Tommaso de Fernex.

Financial support is provided by NSF Focused Research Group Grant DMS-1265285