GAeL XXIV

The 24th edition of GAeL will take place in Nesin Mathematics Village (Turkey) from 13 June to 17 June 2016. There will be three minicourses, selected contributed talks by participants and poster sessions. Here is the preliminary programm for the minicourses.

David Cox (Amherst College)

Preliminary title: Topics in Toric Geometry

Abstract (draft):
Lecture I: Review of Toric Geometry
Lecture II: The Toric Minimal Model Program
Lecture III: Reflexive Polytopes and Mirror Symmetry
Lecture IV: Multigraded Commutative Algebra and Geometric Modeling

Christian Liedtke (TU München)

Title: Models of Curves, Abelian varieties, and K3 surfaces

Abstract (draft): Given a smooth and proper variety over the field of fractions of a local and complete discrete valuation ring R, is it possible to find “good” models of this variety over R? For some classes of varieties, we have satisfactory answers: namely, minimal models for curves, Néron models for Abelian varieties, and Kulikov models for K3 surfaces. A necessary (and sometimes even sufficient) condition for having a smooth model (a.k.a. good reduction) is an unramified Galois-action on cohomology (a.k.a. trivial monodromy in the complex setting over a disk). I will introduce and discuss these models, state and prove some results, and proceed to some more recent questions and developments. If time permits, I will give applications to reduction modulo finite characteristic, degenerations of families, and compactifications of moduli spaces.

Timothy Logvinenko (Cardiff University)

Title: Introduction to DG-categories in Algebraic Geometry


Sponsors

GAeL XXIV is made possible by the generous support of: