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UID:599920b7ca23bf3ce797969f42f1d3fe
CATEGORIES:Topology/Geometry Seminar
CREATED:20211014T132946
SUMMARY:Finite quotients, arithmetic invariants, and hyperbolic volume 
LOCATION:Zoom 
DESCRIPTION:<p>ABSTRACT: In this talk, I will discuss the question as to determine geom
 etric properties of orientable closed hyperbolic 3-manifolds by the finite 
 quotients of their fundamental groups. I will explain an approach to match 
 up the (Zariski-dense algebraic) PSL_2 representations of a pair of those g
 roups, up to conjugacy, if there is an isomorphism between their profinite 
 completions. Assuming the p-adic Borel regulator injectivity conjecture, on
 e may deduce that the hyperbolic volume, the invariant quaternion algebra, 
 and the arithmeticity are profinite properties.</p>
CONTACT:Yi Liu (Peking University)
DTSTAMP:20260827T213959
DTSTART;TZID=America/New_York:20211019T110000
DTEND;TZID=America/New_York:20211019T120000
SEQUENCE:0
TRANSP:OPAQUE
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