UIC Singularity Workshop
José I. Cogolludo
Universidad de Zaragoza, Spain
Asymptotic behavior of fundamental groups of smooth surfaces
Abstract: As a fundamental example, when studying pencils on the projective plane,
they are said to contain a completely reducible member if the member of
the pencil is a product of lines. It is well known that the number of
completely reducible fibers in such pencils is universally bounded by 4.
This has consequences in the structure of fundamental groups of
complements of lines giving a bound to the rank of their free quotients.
One can ask a similar question about pencils of conic-line arrangements.
We find that there is a universal bound as well. We ask ourselves how
general this type of results is.
The purpose of this talk is to present a series of results regarding
the structure of fundamental groups of the complement of curves on
smooth surfaces whose irreducible components are assumed to belong to
a given effective cone. This is a joint work with A. Libgober.
Saturday June 29, 2019 at 10:00 AM in 636 SEO