Conference Service Mandl

abstract: 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 sh

abstract: Besides Elliptic and Parabolic issues, the topics of the conference include Geometry, Free Boundary Problems, Fluid Mechanics, Evolution Problems in general, Calculus of Variations, Homogenization, Control, Modeling and Numerical Analysis. In addition to the plenary talks parallel sessions and minisymposia will be organized. Gaeta, where the conference will take place, is in the gulf of Serapo between Rome and Naples. The hotel is located directly at the sea, just a ten minute walk from the old city of Gaeta.