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PRODID:-//Event Calendar 2.0//iCal4j 2.0//EN
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DTSTAMP:20260915T204357Z
DTSTART:20251204T161500
DTEND:20251204T171500
SUMMARY:Sam Hughes: Torsion homology growth and L^2-torsion
TZID:Europe/Berlin
UID:event-1762179008608@events.goettingen-campus.de
LOCATION:Mathematisches Institut - Sitzungszimmer
CONTACT:Annalena Wendehorst\, annalena.wendehorst@mathematik.uni-goettingen.de\, 0551 39 27779
CATEGORIES:research
DESCRIPTION:The L^2-torsion of a hyperbolic (2n&#43\;1)-manifold is proportional to its hyperbolic volume.  The invariant can (in principle) be defined for any cocompact free L^2-acyclic G-CW complex X and may be thought of as a notion of hyperbolic volume for X/G.  When G is residually finite a conjecture of L\\"uck relates the growth rate of the size of torsion in the homology of finite covers of X/G with the L^2-torsion of X.   I will discuss this conjecture and recent results related to it in the context of automorphisms of groups\, the handlebody groups\, and more. Based on recent joint work with Wolfgang L\\"uck and older joint works with Naomi Andrew\, Yassine Guerch\, Sebastian Hensel\, Monika Kudlinska and Ric Wade.\n\nTitle: MathematischeGesellschaft: Torsion homology growth and L^2-torsion\nSpeaker: Sam Hughes\nOrganizer: Mathematisches Institut\, Fakultät für Mathematik und Informatik\nHost: Prof. Dr. Thomas Schick\nContact: Annalena Wendehorst\, annalena.wendehorst@mathematik.uni-goettingen.de\, 0551 39 27779\n
URL:https://events.goettingen-campus.de/event?eventId=1762179008608
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