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SUMMARY:Virtual homological torsion in low dimensions [MPIM]
DTSTART:20260305T123000Z
DTEND:20260305T140000Z
DTSTAMP:20260417T220500Z
UID:indico-event-1140@math-events.uni-bonn.de
DESCRIPTION:Speakers: Jonathan Fruchter (Universität Bonn)\n\nOberseminar
  Differential Geometry \nA long-standing conjecture of Bergeron and Venka
 tesh predicts that in closed hyperbolic 3-manifolds\, the amount of torsio
 n in the first homology of finite-sheeted normal covers should grow expone
 ntially with the degree of the cover as the covers become larger\, at a ra
 te reflecting the volume of the manifold. Yet no finitely presented residu
 ally finite group is known to exhibit such behaviour\, and meaningful lowe
 r bounds on torsion growth are rare.\nIn this talk I will explain how a tw
 o-dimensional lens offers a clearer view of some of the underlying mechani
 sms that create homological torsion in finite covers\, and how they might 
 relate to its growth. If time allows\, I will also discuss how these ideas
  connect to the question of profinite rigidity: how much information about
  a group is encoded in its finite quotients.\n\nhttps://math-events.uni-bo
 nn.de/event/1140/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1140/
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