Seminario Dottorato: “Monodromy and Invariant Cycles”

Wednesday 2 May 2018, h. 14:30 - Room 2BC30 - Pietro Gatti

ARGOMENTI: Seminars Ph.D. Program

Wednesday 2 May 2018 h. 14:30, Room 2BC30
Pietro Gatti (Padova, Dip. Mat. and KU Leuven)
“Monodromy and Invariant Cycles”

We will define the monodromy operator for a 1-parameter family of curves. Focusing on a concrete example, a family of tori, we will compute explicitly the monodromy and show that its invariant part has a geometrical interpretation. This is an instance of the classical Invariant Cycles Theorem. After giving an intuitive introduction to log-geometry, we will briefly explain how this setup let us reprove the Invariant Cycles Theorem for a Semistable Family of Curves.