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UID:105fbe8876d34d1741da6f63e4b5614a
CATEGORIES:Topology/Geometry Seminar
CREATED:20251014T210736
SUMMARY:Lattice Extensions of Classical Schottky Groups
LOCATION:Hill 705
DESCRIPTION:In this talk, I will discuss a construction to realize a dense family of cl
 assical Schottky groups in Isom(H^n) as subgroups of lattices. This partial
 ly generalizes Brooks' theorem that any geometrically finite subgroup of Is
 om(H^3) can be perturbed to be contained in a lattice.  I will start by int
 roducing an "inbreeding" technique by Agol, which is the origin of our cons
 truction, and talk about several applications. This is joint work with Matt
 hew Zevenbergen.\n
X-ALT-DESC;FMTTYPE=text/html:<p><span style="color: #3d3d3d; font-family: 'Open Sans'; font-size: 17.333
 3px; font-style: normal; font-weight: 400; letter-spacing: normal; orphans:
  2; text-align: start; text-indent: 0px; text-transform: none; widows: 2; w
 ord-spacing: 0px; white-space: normal; float: none;">In this talk, I will d
 iscuss a construction to realize a dense family of classical Schottky group
 s in Isom(H^n) as subgroups of lattices. This partially&nbsp;generalizes&nb
 sp;Brooks'&nbsp;theorem that any geometrically finite subgroup of Isom(H^3)
  can be perturbed to be contained in a lattice.&nbsp; I will start by intro
 ducing an "inbreeding" technique by Agol, which is the origin of our constr
 uction, and talk about several applications. This is joint work with Matthe
 w Zevenbergen.</span></p>
CONTACT:Junzhi Huang, Yale
DTSTAMP:20260831T052822
DTSTART;TZID=America/New_York:20251021T160000
DTEND;TZID=America/New_York:20251021T170000
SEQUENCE:0
TRANSP:OPAQUE
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