Seminario di algebra e geometria
ore
11:00
presso Aula Vitali
The monodromy group of an IHS manifold is one of the most
important tools to investigate their geometry. In the first part of
the talk, I will recall the main definitions, giving some motivation.
In the second half I will focus on the OG10-type. This is the only
type (among the known ones) for which the monodromy group is still a
mystery. We explain how to construct new monodromy operators using two
families, the O'Grady and the Laza-Saccà-Voisin ones, exhibiting an
explicit subgroup of the monodromy group, that we conjecture being
all. Time permitting, we will also discuss a geometric constraint to
the fact that the monodromy group is smaller than the group of
orientation preserving isometries.