SCHOOL (AND WORKSHOP) ON

FINITE SUBGROUPS OF CREMONA GROUPS



TRENTO, AUGUST 24-29, 2015




Second announcement


Lecturers.

I. Cheltsov (University of Edinburgh – UK)
Y. Prokhorov (Steklov Institute of Mathematics – Ru)

Supporting lecturer and tutor.

C. Shramov (Laboratory of Algebraic Geometry, GU-HSE – Ru).

Organizers.
The School/Workshop is organized by G. Casnati, F. Galluzzi, R. Notari, F. Vaccarino. For contacting the organizers send a mail to

geometri [nospam] calvino.polito.it

The School/Workshop is supported by CIRM-Fondazione Bruno Kessler (formerly CIRM-ITC), Foundation Compositio Mathematica, GNSAGA-INdAM, Dipartimento di Matematica-Università di Torino, 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

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.

Aim of Workshop.
The Workshop is intended to discuss the state of the art. Up to now the following speakers have confirmed their participation: P. Cascini, F. Catanese, J. Deserti, A.S. Kaloghiros, F. Mangolte. People interested in delivering a short communication are kindly requested to submit the title and an abstract within September 7th to

geometri [nospam] calvino.polito.it


Schedule.
The School will start on Monday 24th at 13.00 and it will end on Friday 28th at 12.30. Workshop will start on Friday 28th at 14.30 and it will end on Saturday 29th 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 June, 22nd. The organizing commitee will examine the applications and will send out notifications of acceptance by July 6th.

Registration.
Participants who do not require financial support are expected to fill in the on line registration form before July 27th.

Further announcements.
A third announcement will follow, probably in June.