Aula Magna (Dip. Matematica)
Colleen Robles (Duke University)
Title: Representation theory as a Hodge theoretic tool
Radu Laza (Stony Brook University)
Title: Moduli and periods beyond the classical cases
09:00-10:00 - Brendan Hassett (Brown University) Stable rationality and root stacks
Abstract: We show that stable rationality is not a deformation invariant of smooth projective complex threefolds. Root stack constructions play an important role in the argument. This is joint work with Kresch and Tschinkel.
10:00-10:30 - coffee break
10:30-11:30 - Mattia Talpo (Simon Fraser University) Derived invariance of parabolic sheaves
09:20-10:20 - Hélène Esnault (Freie Universität Berlin) p-curvature and companions
Abstract: I’ll give a small survey of problems and theorems concerning the behavior of connections in reduction mod p, and on companions, based on joint work with M. Kisin, T. Abe and M. Groechenig.
10:20-10:50 - coffee break
10:50-11:50 - Alessio Corti (Imperial College London)
Smoothings of Gorenstein toric Fano varieties and singularities
9:20 - 10:20 - Carlos Simpson (Université de Nice)
Parabolic Higgs bundles of the Geometric Langlands correspondence on the moduli space of bundles over a genus 2 curve
14.30-14.40: Welcome and introduction.
14.40-16.00: D. Abramovich (Brown University) Resolution of singularities in Vistoli’s workshop
Abstract: Among the things one learns from Vistoli is how to handle some magnificent power tools, two of which are the theory of algebraic stacks and logarithmic geometry. I will describe joint work with Michael Temkin and Jarosłav Włodarczyk on functorial resolution of singularities of varieties and their families, where lessons I learned from Vistoli, and in particular the art of logarithmic stack maintenance, are central.
Abstract: Translation surfaces are surfaces which come naturally into play both from a dynamical motivation (billiards in polygons) and from a more algebro-geometrical point of view (they are related to the Teichmuller space). We will start with some examples, give some motivations about why one is interested in them and then focus more on the dynamical side. We will give a short survey of some more or less classical result from the very rich literature. Time permitting, we will also relate this to some Diophantine approximation.