Lago di Levico, veduta
autunnale - Fototeca Trentino SPA – Foto
Flavio Faganello |
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Scientific Committee |
· Ivan Cheltsov (U. Edinburgh) · Ciro Ciliberto (U. Roma Tor Vergata) · Hubert Flenner (U. Bochum) · James McKernan (MIT Boston) · Yuri Prokhorov (Moscow U.) ·
Mikhail Zaidenberg (Inst. Fourier, |
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Objectives of the
Conference |
The subject of the conference includes: Studies on groups of automorphisms
of affine and projective algebraic varieties, birational
transformation groups, and related geometry. The problem of describing
the automorphism groups of both
affine or projective algebraic varieties is a classical subject in
algebraic geometry. It is commonly accepted that the affine case is
substantially more complicated than the projective one, while it is rather
close to the setting of the birational geometry. In
both cases the groups in question are often infinite dimensional, while the
groups of biregular automorphims
of a projective variety are close to algebraic, in particular, they are
finite dimensional. However, the automorphism group
of an affine variety, even if it can be infinite dimensional, carries some
similarity with an algebraic group. Meanwhile the automorphism
group are completely known only for a rather narrow
class of varieties. For a long time, the dominant tendency in the
development of both affine and projective geometry was divergence of their
interests, of their main problems and methods. The organizers of the meeting
would like to fight this tendency, to develop further the points of common
interest, and the methods that work both in the affine and projective
setting. The meeting should allow to look on its
subjects from different perspectives. As a technical tool which can be useful in
both domains we can mention the Mori Theory and, more concretely, the Sarkisov Program. The latter provides an algorithm for
decomposing any birational morphism
of projective varieties of negative Kodaira
dimension into a sequence of elementary ones. It works well for studying
groups of birational automorphims
(Iskovskikh, Corti, Cheltsov, e.a.).
Recently, this program was successfully applied to some problems of affine
geometry (Kishimoto, Dubouloz,
Lamy). On the other hand,
the Sarkisov program in its present state is rather
non-effective. For its effective application one needs to know the concrete
form of all the intermediate elementary birational
transformations (Sarkisov links). The current work
in this direction (Mori, Kawamata, Corti, Kawakita, Prokhorov,
Blanc, Lamy e.a.) is far
from being finished. |
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Program |
Click here to see the
program and here the list
of confirmed speakers and abstracts of the talks. The Scientific Committee decided
to have a poster
session too, both in this web page and, during the conference, on paper posters.
Participants interested in presenting a poster are invited to submit a .pdf-file (papers or abstracts, or links to other sources)
to the e-mail address of the Secretary of CIRM michelet@science.unitn.it. Then,
starting with the morning of Monday Oct. 29th, interested
participants should post their posters on the poster-panels. The available
board area for poster presentations is |
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Confirmed
Participants |
Click here to see the list. |
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Registration |
For registering in the conference
please complete and submit our registration form
to the Secretary of CIRM. No registration fee will be
charged. Deadline for
registration:
October 15th, 2012. |
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Logistic Information |
Participants who need a paper-official
invitation for obtaining visa to enter in The conference will be held in the conference
hall of the Bellavista Relax Hotel in Levico Terme ( The cost for the full board at Bellavista Relax Hotel is: ·
80,00 EUR per night in a single bedroom, ·
63,00 EUR per night per person in a double
bedroom. Please click here to find
Information to
reach Levico Terme and
the conference site. |
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Sponsors |
· CIRM – Fondazione Bruno Kessler · DFG · GDR GAG (“Géométrie Algébrique et Géométrie Complete”) · GDR TLAG3 (“Théorie de Lie Algébrique et Géométrique”) · GDR “Singularités et Applications” ·
ANR BirPol
(Project JCJC “Automorphismes Polynomiaux et Transformations Birationnelles”) ·
UJF (Université
Joseph Fourier, Grenoble I) ·
Institut Fourier de Mathématiques,
Laboratoire de CNRS (Grenoble) ·
GDRE GRIFGA (Groupement de Recherche européen Italo-Français en Géométrie Algébrique) ·
GRIFGA
(Gruppo di Ricerca Italo-Francese in Geometria
Algebrica) ·
Ministère
de l’Enseignement Supérieur
et de la Recherche (France) |
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