Corso di Dottorato in Matematica

Da Giovedì 3 Novembre al 15 Dicembre, Luca Schaffler (Roma Tre) terrà il corso di Dottorato in Matematica dal titolo "Compactifications of moduli spaces".

Abstract
The space of parameters for a family of algebraic varieties of a fixed type is also an algebraic variety called moduli space. These are often at first not compact because the varieties being parametrized may degenerate in different ways acquiring singularities or becoming reducible. Therefore, it is essential for the theory to construct compactifications with good properties.
The main objective of this course is to give the basics of the stable pair compactification, which generalizes the Deligne-Mumford-Knudsen compactification of the moduli space of stable n-pointed curves to moduli of higher dimensional algebraic varieties. We will focus on the fundamental tools of this theory, concrete examples, and computations. Time permitting, we will also consider other compactification methods, especially the ones that come from geometric invariant theory and Hodge theory.

Il corso avrà luogo presso il Dipartimento di Matematica e Fisica, Via della Vasca Navale, 84 – 00146 Roma - Aula A (Physics building).
Martedi' e giovedi' dalle 16:00 alle 18:00 secondo il calendario riportato sulla pagina Link identifier #identifier__178236-1web