Venue
Aula Seminari - Dipartimento di Matematica
Abstract
A common theme in algebraic geometry is degeneration: we consider a family of smooth spaces which degenerates into a singular one. A complementary viewpoint is that of compactification: the total family can be seen as the union of the open locus formed by the smooth fibres and the singular fibre. Logarithmic geometry is a tool that unites these viewpoints. In this talk I will give an introduction to the subject, show how they extend algebraic geometry and why it is useful in studying degeneration and compactification problems.