Frank-Olaf Schreyer (Uni des Saarlandes)
Wednesday, November 21, 2018 - 13:00
HU, Institut für Mathematik
Rudower Chaussee 25, 12489 Berlin-Adlershof, 3.007, Erdgeschoss
Forschungsseminar "Algebraische Geometrie"
Prof. Dr. Gavril Farkas, Prof. Dr. Bruno Klingler
In this talk I report on joint work with my student Isabel Stenger about the construction of numerical Godeaux surfaces via homological algebra. Numerical Godeaux surfaces are minimal surfaces of general type with K2=1 and pg=q=0. So they are the surfaces of general type with smallest possible numerical invariants. It is conjectured that there are precisely 5 families of these surfaces, which are distinguished by their fundamental groups, which is conjectured to be Z/n, for n=1,...,5. Our homological algebra approach aims for a complete classification of these surfaces.
submitted by Kristina Schulze (schulze@math.hu-berlin.de)