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SUMMARY:Family of hyperbolic manifolds with exponential homology torsion g
 rowth [MPIM]
DTSTART:20260710T081500Z
DTEND:20260710T094500Z
DTSTAMP:20260703T170600Z
UID:indico-event-1470@math-events.uni-bonn.de
DESCRIPTION:Speakers: Stepan Alexandrov (Universität Bonn/MPIM)\n\nIMPRS 
 seminar on various topics: thesis talk\nWe discuss a recent construction o
 f a family of compact hyperbolic manifolds whose homology torsion grows ex
 ponentially with respect to volume. This shows that the upper bounds on to
 rsion growth obtained by Bader\, Gelander\, and Sauer are asymptotically s
 harp.The construction is based on arithmetic hyperbolic manifolds of simpl
 est type and uses right-angled Coxeter groups together with retraction tec
 hniques inspired by Bergeron–Haglund–Wise. A key ingredient is the exi
 stence of sufficiently many “independent” totally geodesic submanifold
 s\, which produce large torsion in homology.We outline the main ideas of t
 he construction and discuss the geometric mechanisms behind exponential to
 rsion growth.\n\nhttps://math-events.uni-bonn.de/event/1470/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1470/
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