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SUMMARY:Finite quotients and fibring with a view towards projective variet
 ies - Sam Hughes (Oxford)
DTSTART:20240214T160000Z
DTEND:20240214T170000Z
UID:TALK211843@talks.cam.ac.uk
CONTACT:Oscar Randal-Williams
DESCRIPTION:In this talk I will survey a number of recent results regardin
 g (relative) profinite rigidity of certain groups (3-manifold groups\, Cox
 eter groups\, free-by-cyclic groups\, Kaehler groups).  Here profinite rig
 idity asks how much of information about a finitely generated residually f
 inite group can be recovered from its finite quotients.  From an algebraic
  geometry viewpoint this is essentially asking when the algebraic fundamen
 tal group determines an aspherical projective variety up to biholomorphism
  (assuming residual finiteness of the topological fundamental group).  Muc
 h of the input will come from developments around the world of 3-manifold 
 topology\, building on the Virtual Fibring Theorem of Agol and Wise.  With
  this in hand (and time permitting) I will discuss work of Wilton--Zalessk
 ii\, Wilkes\, and Liu on rigidity amongst 3-manifold groups\, work of myse
 lf and Kudlinska on rigidity amongst free-by-cyclic groups\, and work of m
 yself\, Llosa Isenrich\, Py\, Spitler\, Stover\, and Vidussi on rigidity a
 mongst Kaehler groups.
LOCATION:MR13
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