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Host: FBK-IRST Trento
Sponsor: CIRM (Centro Internazionale per la Ricerca Matematica), Trento
Homepage: http://www.science.unitn.it/cirm/
Email: michelet@science.unitn.it
Organizers: G. Casnati, C. Fontanari, R. Notari, M.L. Spreafico (Politecnico Torino)
Deadline for abstracts: July 15, 2008
Description:
Lecturers: B. Fantechi (SISSA, It) A. Kresch (Universität Zürich, CH)
Supporting lectures will be delivered by E. Mann (Université de Montpellier, Fr).
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. A tentative program is as follows.
Motivation: why stacks are needed. Basic example: moduli of curves of genus g. The 2-category of groupoids, schemes as functors, categories fibered in groupoids, pseudofunctors. The stack condition. Representable morphisms, definition of algebraic stack (in the sense of Deligne-Mumford). Quotient stacks, stacks associated to groupoids. The 2-category of stacks; open, closed substacks; topological space associated to a stack. Properties of stacks and of their morphisms; valuative criteria for separatedness and properness. Inertia stack. (Quasi)coherent sheaves on a stack, cohomology of sheaves. Main worked out examples: moduli of stable pointed curves, moduli of stable sheaves, weighted projective stacks and toric DM stacks. Infinitesimal study of moduli stacks and deformation theory. A short introduction to Artin stacks will also be provided.
The school will be followed by a workshop. Confirmed speakers in the workshop are: F. Catanese (Bayreuth), G. Farkas (Berlin), E. Sernesi (Roma Tre), A. Verra (Roma Tre), A. Vistoli (SNS Pisa).
Mail Address:
A. Micheletti Secretary of CIRM Centro Internazionale per la Ricerca Matematica Fondazione Bruno Kessler Via Sommarive 14 38050 Povo (Trento) Tel. +39-0461-881628 - Telefax +39-0461-810629 - e-mail michelet@science.unitn.it
Submitted by: Augusto MICHELETTI
Date received: March 26, 2008
© 2008 Atlas Conferences Inc.