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SUMMARY:Modularity of the Minimal Model Programme
DTSTART:20190612T140000
DTEND:20190612T150000
DTSTAMP:20260505T015112Z
UID:19a755d62698e31b5c24bf857e86984d2a74c34c7f808c82c98edc2e
CATEGORIES:Conferences - Seminars
DESCRIPTION: Giulio Codogni (Università Roma Tre)\nA run of the Minimal 
 Model Programme for a projective variety consists of a series of birationa
 l modifications which simplifies the variety. One of the most important re
 sults in algebraic geometry is that\, under suitable conditions\, it is po
 ssible to make such a run. When the variety under investigation is a modul
 i space\, one can obtain birational modifications also from modifying the 
 class of objects parametrized by the moduli space. For instance\, a birati
 onal modification of the moduli space of nodal curves can be obtained by r
 elaxing the condition on the singularities\, and let the moduli space para
 metrize also curves with cusps. We call this sort of modifications “modu
 lar modifications".\nIn this talk\, I will discuss cases where a run of th
 e Minimal Model Programme can be described in terms of modular modificatio
 ns. More specifically\, I will discuss the moduli space of curves (joint w
 ork with L. Tasin and F. Viviani) and the moduli space of rank two vector 
 bundles over a del Pezzo surface of degree one (joint work with C. Casagra
 nde and A. Fanelli).
LOCATION:GR C0 01 https://plan.epfl.ch/?room=GRC001
STATUS:CONFIRMED
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