BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Profinite rigidity of Kähler groups - Claudio Llosa Isenrich (
 KIT)
DTSTART:20250514T150000Z
DTEND:20250514T160000Z
UID:TALK230959@talks.cam.ac.uk
CONTACT:Oscar Randal-Williams
DESCRIPTION:A classical problem in complex algebraic geometry is understan
 ding the topology of closed complex submanifolds of complex projective s
 pace\, so-called smooth complex projective varieties\, and\, more general
 ly\, of compact Kähler manifolds. Two natural topological invariants to c
 onsider are the fundamental group and its profinite completion\; the 
 latter is also known as the algebraic fundamental group. In this talk I 
 will address the following questions: When is the fundamental group of a 
 compact Kähler manifold uniquely determined by its profinite completio
 n? And\, when does the profinite completion even determine the ho
 meomorphism type of the underlying manifold? In particular\, I will expl
 ain positive answers to both questions in the case of a direct product of
  fundamental groups of closed hyperbolic Riemann surfaces. This talk is
  based on joint work with Hughes\, Py\, Spitler\, Stover and Vidussi.
LOCATION:MR13
END:VEVENT
END:VCALENDAR