BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Geometry of hyperconvex surface subgroups - Maria Beatrice Pozzett
 i (Università di Bologna)
DTSTART:20250904T091500Z
DTEND:20250904T101500Z
UID:TALK233653@talks.cam.ac.uk
DESCRIPTION:A quasi-Fuchsian representation of a surface group in PSL(2\,C
 ) is a discrete and faithful representation that preserves a Jordan curve 
 on the Riemann sphere. These classical objects have a very rich structure 
 as they lie at the crossroad of several areas of mathematics such as compl
 ex dynamics\, Teichm&uuml\;ller theory\, and 3-dimensional hyperbolic geom
 etry. I will discuss joint work with James Farre and Gabriele Viaggi in wh
 ich we investigate similar phenomena for a class of representations of sur
 face groups in PSL(d\,C)\, hyperconvex representations\, and discuss geome
 tric properties of the image subgroups and their parameter space. Among ot
 her things we show that the groups admitting hyperconvex&nbsp\; representa
 tions are virtually isomorphic to convex-cocompact subgroups of PSL(2\,C)\
 , and more generally they exhibit striking analogies with such groups\, su
 ch as suitable Ahlfors-Bers parameters.\n&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR