Higher Dimensional Algebraic Geometry and Characteristic p
September 12 – 16, 2016
Over the past years, there has been substantial and rapid progress in the understanding of higher dimensional algebraic varieties in characteristic p > 0, specifically from the point of view of the minimal model program. Techniques first developed in commutative algebra and representation theory in the 1980s have begun to be employed extensively.
Further development and dissemination of these methods is still needed. It has become clear that in order for further progress to be made, connections with arithmetic aspects of varieties in characteristic p > 0 must be explored and addressed.
Recent applications of Berkovich spaces to birational algebraic geometry suggest one approach to deal with these arithmetic problems one encounters in characteristic p.
This workshop will bring together researchers from several distinct areas within algebraic geometry and arithmetic geometry with the goal of disseminating recent techniques and forging new research connections.
Scientific & Organizing Committee
Manuel Blickle (Johannes Gutenberg University of Mainz)
Karl Schwede (University of Utah)
Chenyang Xu (Beijing International Center for Mathematical Research)
Crystalline cohomology, period maps, and applications to K3 surfaces
The non-archimedean SYZ bration and Igusa zeta functions
The direct summand conjecture and its derived variant
Singularities of log pairs in characteristic two
Towards a link theoretic characterization of smoothness
Rational points on log Fano 3-fold over a finite field
Higgs sheaves on singular spaces and the Miyaoka-Yau Inequality for
Endomorphisms of Drinfeld half-spaces over a finite field
Deformation of F-injectivity (pdf)
On projectivity of the moduli space of stable surfaces in characteristic p > 5
On zeta functions of cubic surfaces over finite fields
Stratified vector bundles on simply connected varieties in positive
Log birational boundedness of Calabi-Yau pairs
General hyperplane sections of canonical 3-folds in positive characteristic
Fourier-Mukai partners of canonical covers in positive characteristic
Fundamental Groups of F-regular Singularities via F-Signature
The Hodge ring of varieties in positive characteristic
On the characterization of abelian Varieties for log pairs in characteristic