dr. Holstein's seminar at SISSA

[Emanuele Tuillier Illingworth]

SEMINAR ANNOUNCEMENT


Room 137, Tuesday February 2, 3pm

Speaker: Dr Julian Holstein, Ma-Planck-Institut für Mathematik, Bonn

Title: The global derived period map

Abstract: The classical period map constructed by Griffiths is a map
from the base of a family of smooth projective varieties to a
subquotient of a Grassmannian, which associates to each point the
Hodge filtration on cohomology of the fiber. This is an important
construction that can linearize moduli problems.
Manetti and others have studied a derived version of the infinitesimal
period map on tangent complexes.
Jointly with Carmelo Di Natale I am working to extend these
constructions to a global derived period map, studying a family of
smooth projective varieties over a derived scheme. This is work in
progress and the presentation will be informal.