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SUMMARY:Jonathan Fruchter (University of Bonn)
DTSTART:20260521T123000Z
DTEND:20260521T133000Z
DTSTAMP:20260623T074559Z
UID:GaTO/147
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/147/">V
 irtual homological torsion in low dimensions</a>\nby Jonathan Fruchter (Un
 iversity of Bonn) as part of Geometry and topology online\n\nLecture held 
 in Room B3.02 in the Zeeman Building\, University of Warwick.\n\nAbstract\
 nA long-standing conjecture of Bergeron and Venkatesh predicts that in clo
 sed hyperbolic 3-manifolds\, the amount of torsion in the first homology o
 f finite-sheeted normal covers should grow exponentially with the degree o
 f the cover as the covers become larger\, at a rate reflecting the volume 
 of the manifold. Yet no finitely presented residually finite group is know
 n to exhibit such behaviour\, and meaningful lower bounds on torsion growt
 h are rare.\n\nIn this talk I will explain how a particular two-dimensiona
 l lens offers a clearer view of some of the underlying mechanisms that cre
 ate homological torsion in finite covers\, and how they might relate to it
 s 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
LOCATION:https://researchseminars.org/talk/GaTO/147/
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