SCHOOL (AND WORKSHOP) ON
TRENTO, AUGUST 24-29, 2015
I. Cheltsov (University of Edinburgh – UK)
Y. Prokhorov (Steklov Institute of Mathematics – Ru)
Supporting lecturer and tutor.
The School/Workshop is organized by G. Casnati, F. Galluzzi, R. Notari, F. Vaccarino. For contacting the organizers send a mail to
The School/Workshop is
supported by CIRM-Fondazione Bruno Kessler
(formerly CIRM-ITC), by Dipartimento di
Scienze Matematiche-Politecnico di Torino also through the joint
"Geometria delle Varietà algebriche"
cofinanced by Italian MIUR.
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.
I. Cheltsov. Dimension 2. G-rigid del Pezzo surfaces. G-rigid conic bundles. Simple subgroups in the plane Cremona group. p-groups in plane Cremona group. G-Sarkisov links between G-Fano varieties. Three-dimensional examples. The case of algebraically non-closed field. G-rigid Fano threefolds. Cases when G is a simple group of order either 168 and 360. Essential dimension of finite groups and Cremona groups. Duncan's theorems. Kollar-Szabo theorem. Icosahedron subgroups in space Cremona groups.
Y. Prokhorov. Regularization of birational automorphisms, G-Minimal Model Program, G-Mori fiber spaces, examples. G-Fano varieties. Riemann–Roch theorem for non-Gorenstein threefolds. Bogomolov-Miyaoka-Yau inequality. Applications. Simple subgroups of space Cremona group (answer to a question of Serre). Big finite subgroups of the space Cremona group: p-groups and symmetric group of order 720. Cohomological approach to the study of finite subgroups of Cremona groups.
A more detailed second announcement (containing informations on accomodation, registration and financial supports) will follow probably in February 2015.