**SCHOOL (AND WORKSHOP) ON
**

**
**TRENTO, AUGUST 24-29,
2015

**
**First announcement

**Lecturers.
**

I. Cheltsov(University of Edinburgh – UK)

Y. Prokhorov(Steklov Institute of Mathematics – Ru)

Supporting lecturer and tutor.

**Organizers.
**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
Project
"Geometria delle Varietà algebriche"
cofinanced by Italian MIUR.

The School and the Workshop will take place at

Fondazione
Bruno Kessler-IRST

via Sommarive, 18

38050 Povo (Trento) - Italy

via Sommarive, 18

38050 Povo (Trento) - Italy

**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.

**Further announcements.**

A more detailed second announcement (containing informations on
accomodation, registration and financial supports) will follow
probably in February 2015.