BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Boris Apanasov (Oklahoma)
DTSTART:20210517T160000Z
DTEND:20210517T170000Z
DTSTAMP:20260423T041338Z
UID:TG_ET/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TG_ET/19/">C
 onformal interbreeding\, Teichmüller spaces and applications</a>\nby Bori
 s Apanasov (Oklahoma) as part of Topology and geometry: extremal and typic
 al\n\n\nAbstract\nWe present a new effect in the theory of deformations of
  hyperbolic manifolds/orbifolds or their uniform hyperbolic lattices  (i.e
 . in the Teichmüller spaces of conformally flat structures on closed hype
 rbolic 3-manifolds). We show that such varieties may have connected compon
 ents whose dimensions differ by arbitrary large numbers. This is based on 
 our "Siamese twins construction" of non-faithful discrete representations 
 of hyperbolic lattices related to non-trivial "symmetric hyperbolic 4-cobo
 rdisms" and the Gromov–Piatetski-Shapiro interbreeding construction. The
 re are several applications of this result\, from new non-trivial hyperbol
 ic homology 4-cobordisms and wild 2-knots in the 4-sphere\, to bounded qua
 siregular locally homeomorphic mappings\, especially to their asymptotics 
 in the unit 3-ball solving well known conjectures in geometric function th
 eory.\n
LOCATION:https://researchseminars.org/talk/TG_ET/19/
END:VEVENT
END:VCALENDAR