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CATEGORIES:Differential Geometry and Topology Seminar
SUMMARY:Finite quotients and fibring with a view towards p
rojective varieties - Sam Hughes (Oxford)
DTSTART;TZID=Europe/London:20240214T160000
DTEND;TZID=Europe/London:20240214T170000
UID:TALK211843AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/211843
DESCRIPTION:In this talk I will survey a number of recent resu
lts regarding (relative) profinite rigidity of cer
tain groups (3-manifold groups\, Coxeter groups\,
free-by-cyclic groups\, Kaehler groups). Here pro
finite rigidity asks how much of information about
a finitely generated residually finite group can
be recovered from its finite quotients. From an a
lgebraic geometry viewpoint this is essentially as
king when the algebraic fundamental group determin
es an aspherical projective variety up to biholomo
rphism (assuming residual finiteness of the topolo
gical fundamental group). Much of the input will
come from developments around the world of 3-manif
old topology\, building on the Virtual Fibring The
orem of Agol and Wise. With this in hand (and tim
e permitting) I will discuss work of Wilton--Zales
skii\, Wilkes\, and Liu on rigidity amongst 3-mani
fold groups\, work of myself and Kudlinska on rigi
dity amongst free-by-cyclic groups\, and work of m
yself\, Llosa Isenrich\, Py\, Spitler\, Stover\, a
nd Vidussi on rigidity amongst Kaehler groups.
LOCATION:MR13
CONTACT:Oscar Randal-Williams
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