Summer School in Göttingen

Finite fields play an important role in theoretical mathematics and also have significant applications, for instance in communications systems through coding theory and cryptography. These disciplines have evolved over recent decades, and where once the focus was on algebraic curves over finite fields, recent developments have revealed the increasing importance of higher-dimensionals algebraic varieties over finite fields.
The purpose of this meeting is to highlight recent developments and new techniques in algebraic geometry over finite fields with particular attention to the application of geometric techniques to the study of higher-dimensional algebraic varieties over finite fields.

Lecturers

Fedor Bogomolov (Courant Institute, New York)	Rational points and rational curves on varieties over finite fields
Hans-Christian Graf von Bothmer (University of Hanover)	Finite field techniques in computational algebraic geometry
Hélène Esnault (University of Essen):	Geometry over finite fields: relation to complex geometry
Brendan Hassett (Rice University)	Geometry of K3 surfaces over finite fields
Dmitry Kaledin (Steklov Institute)	Hodge theory in positive characteristic
János Kollár (Princeton University)	Cubic surfaces over finite fields
Andrew Kresch (University of Zürich)	Brauer groups of varieties over finite fields
Frans Oort (Utrecht University)	Abelian varieties over finite fields
Michael Stoll (International University Bremen)	Magma computations over finite fields
Adrian Vasiu (University of Arizona)	Geometry of Shimura varieties of Hodge type over finite fields
Daqing Wan (University of California, Irvine)	Variation of zeta functions over finite fields
Torsten Wedhorn (University of Paderborn)	TBA
Yuri Zarhin (Penn State University)	Endomorphisms of abelian varieties over finite fields