The workshop will feature 3 mini-courses held by senior speakers, 12 talks held by junior speakers (selected among participants) and one poster session. There will be a social dinner.
Location of the talks: Gorlaeus Lecture Hall
Schedule to be announced!
Olivier Benoist - École Normale Supérieure Ulm
Title: Stein spaces from an algebraic geometer's perspective
Abstract: Stein spaces are the complex-analytic analogues of affine algebraic varieties. Among them are all closed analytic subspaces of a Euclidean space. In this series of lectures, after a general introduction to their geometry, we will focus on questions concerning Stein spaces that have an algebro-geometric origin (arithmetic of their function field, Brauer group, cycles).
Valentijn Karemaker - University of Amsterdam
Title: Dieudonné theory
Abstract: The main result of Dieudonné theory provides an anti-equivalence between the category of p-divisible groups over a perfect field k of characteristic p, and the category of Dieudonné modules that are free of finite rank over the Witt vectors W = W(k). This implies that Dieudonné modules play an important role in understanding varieties, in particular abelian varieties, in characteristic p through their p-divisible groups. In addition, Oda proved that the Dieudonné module of the p-torsion group scheme of an abelian variety can be described in terms of its de Rham cohomology.
In this mini-course we will introduce Dieudonné modules and p-divisible groups, discuss their rich theories, explain the anti-equivalence between them, and explore applications to abelian varieties in characteristic p.
Luca Schaffler - Roma Tre University
Title: Explicit geometry of moduli spaces of stable pairs
Abstract: Moduli spaces of smooth algebraic varieties are often non-compact: in families, varieties can degenerate, acquiring singularities or breaking into components. A proper (in fact projective) moduli space can be obtained by enlarging the moduli problem to stable pairs (X,D) allowing semi-log canonical singularities and requiring KX+ D to be ample. This is the Kollár–Shepherd-Barron–Alexeev (KSBA) compactification, the higher-dimensional analogue of the Deligne–Mumford–Knudsen compactification of the moduli space of pointed curves. In this series of lectures we introduce the basics of the KSBA framework, with a focus on surfaces. A guiding theme will be the explicit description of boundary strata in KSBA moduli spaces by computing stable limits of degenerating families, especially in the context of (weighted) line arrangements in P2 and stable surfaces (the case D=0).
To be announced.