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BEGIN:VEVENT
UID:91a99f1be79dd6567bf0caa01db85a11
CATEGORIES:Topology/Geometry Seminar
CREATED:20220327T094410
SUMMARY:Stein property of complex-hyperbolic Kleinian groups
LOCATION:Hill 705
DESCRIPTION:Let M be a complex-hyperbolic n-manifold, i.e. a quotient of the complex-hy
 perbolic n-space H^n_Cby a torsion-free discrete group of isometries, gamma
 =pi_1(M). Suppose that M is convex-cocompact, i.e. the convex core of M is 
 a nonempty compact subset. In this talk, we will discuss a sufficient condi
 tion on ? in terms of the growth-rate of its orbits in HnC for which M is a
  Stein manifold. We will also talk about some interesting questions related
  to this result. This is a joint work with Misha Kapovich.\n
X-ALT-DESC;FMTTYPE=text/html:<p><span style="color: inherit; background-color: inherit; margin: 0px; pad
 ding: 0px; border: 0px; font-style: inherit; font-variant: inherit; font-we
 ight: inherit; font-size: 12pt; line-height: inherit; font-family: CMR12; v
 ertical-align: baseline;">Let&nbsp;</span><span style="color: inherit; back
 ground-color: inherit; margin: 0px; padding: 0px; border: 0px; font-style: 
 inherit; font-variant: inherit; font-weight: inherit; font-size: 12pt; line
 -height: inherit; font-family: CMMI12; vertical-align: baseline;">M&nbsp;</
 span><span style="color: inherit; background-color: inherit; margin: 0px; p
 adding: 0px; border: 0px; font-style: inherit; font-variant: inherit; font-
 weight: inherit; font-size: 12pt; line-height: inherit; font-family: CMR12;
  vertical-align: baseline;">be a complex-hyperbolic&nbsp;</span><span style
 ="color: inherit; background-color: inherit; margin: 0px; padding: 0px; bor
 der: 0px; font-style: inherit; font-variant: inherit; font-weight: inherit;
  font-size: 12pt; line-height: inherit; font-family: CMMI12; vertical-align
 : baseline;">n</span><span style="color: inherit; background-color: inherit
 ; margin: 0px; padding: 0px; border: 0px; font-style: inherit; font-variant
 : inherit; font-weight: inherit; font-size: 12pt; line-height: inherit; fon
 t-family: CMR12; vertical-align: baseline;">-manifold, i.e. a quotient of t
 he complex-hyperbolic&nbsp;</span><span style="color: inherit; background-c
 olor: inherit; margin: 0px; padding: 0px; border: 0px; font-style: inherit;
  font-variant: inherit; font-weight: inherit; font-size: 12pt; line-height:
  inherit; font-family: CMMI12; vertical-align: baseline;">n</span><span sty
 le="color: inherit; background-color: inherit; margin: 0px; padding: 0px; b
 order: 0px; font-style: inherit; font-variant: inherit; font-weight: inheri
 t; font-size: 12pt; line-height: inherit; font-family: CMR12; vertical-alig
 n: baseline;">-space </span><span style="color: inherit; background-color: 
 inherit; margin: 0px; padding: 0px; border: 0px; font-style: inherit; font-
 variant: inherit; font-weight: inherit; font-size: 12pt; line-height: inher
 it; font-family: MSBM10; vertical-align: baseline;">H^n_</span><span style=
 "color: inherit; background-color: inherit; margin: 0px; padding: 0px; bord
 er: 0px; font-style: inherit; font-variant: inherit; font-weight: inherit; 
 font-size: 12pt; line-height: inherit; font-family: MSBM10; vertical-align:
  baseline;"><span face="CMMI8" style="font-family: CMMI8;">C</span><span fa
 ce="CMMI8" style="font-family: CMMI8;"><span face="MSBM10" style="font-fami
 ly: MSBM10;"></span></span></span><span style="color: inherit; background-c
 olor: inherit; margin: 0px; padding: 0px; border: 0px; font-style: inherit;
  font-variant: inherit; font-weight: inherit; font-size: 12pt; line-height:
  inherit; font-family: CMR12; vertical-align: baseline;">by a torsion-free 
 discrete group of isometries, gamma=pi_1</span><span style="color: inherit;
  background-color: inherit; margin: 0px; padding: 0px; border: 0px; font-st
 yle: inherit; font-variant: inherit; font-weight: inherit; font-size: 12pt;
  line-height: inherit; font-family: CMR12; vertical-align: baseline;">(</sp
 an><span style="color: inherit; background-color: inherit; margin: 0px; pad
 ding: 0px; border: 0px; font-style: inherit; font-variant: inherit; font-we
 ight: inherit; font-size: 12pt; line-height: inherit; font-family: CMMI12; 
 vertical-align: baseline;">M</span><span style="color: inherit; background-
 color: inherit; margin: 0px; padding: 0px; border: 0px; font-style: inherit
 ; font-variant: inherit; font-weight: inherit; font-size: 12pt; line-height
 : inherit; font-family: CMR12; vertical-align: baseline;">). Suppose that&n
 bsp;</span><span style="color: inherit; background-color: inherit; margin: 
 0px; padding: 0px; border: 0px; font-style: inherit; font-variant: inherit;
  font-weight: inherit; font-size: 12pt; line-height: inherit; font-family: 
 CMMI12; vertical-align: baseline;">M&nbsp;</span><span style="color: inheri
 t; background-color: inherit; margin: 0px; padding: 0px; border: 0px; font-
 style: inherit; font-variant: inherit; font-weight: inherit; font-size: 12p
 t; line-height: inherit; font-family: CMR12; vertical-align: baseline;">is&
 nbsp;</span><span style="color: inherit; background-color: inherit; margin:
  0px; padding: 0px; border: 0px; font-style: inherit; font-variant: inherit
 ; font-weight: inherit; font-size: 12pt; line-height: inherit; font-family:
  CMTI12; vertical-align: baseline;">convex-cocompact</span><span style="col
 or: inherit; background-color: inherit; margin: 0px; padding: 0px; border: 
 0px; font-style: inherit; font-variant: inherit; font-weight: inherit; font
 -size: 12pt; line-height: inherit; font-family: CMR12; vertical-align: base
 line;">, i.e. the convex core of&nbsp;</span><span style="color: inherit; b
 ackground-color: inherit; margin: 0px; padding: 0px; border: 0px; font-styl
 e: inherit; font-variant: inherit; font-weight: inherit; font-size: 12pt; l
 ine-height: inherit; font-family: CMMI12; vertical-align: baseline;">M&nbsp
 ;</span><span style="color: inherit; background-color: inherit; margin: 0px
 ; padding: 0px; border: 0px; font-style: inherit; font-variant: inherit; fo
 nt-weight: inherit; font-size: 12pt; line-height: inherit; font-family: CMR
 12; vertical-align: baseline;">is a nonempty compact subset. In this talk, 
 we will discuss a sufficient condition on ? in terms of the growth-rate of 
 its orbits in&nbsp;</span><span style="color: inherit; background-color: in
 herit; margin: 0px; padding: 0px; border: 0px; font-style: inherit; font-va
 riant: inherit; font-weight: inherit; font-size: 12pt; line-height: inherit
 ; font-family: MSBM10; vertical-align: baseline;">H</span><span style="colo
 r: inherit; background-color: inherit; margin: 0px; padding: 0px; border: 0
 px; font-style: inherit; font-variant: inherit; font-weight: inherit; font-
 size: 8pt; line-height: inherit; font-family: CMMI8; vertical-align: baseli
 ne;">n</span><span style="color: inherit; background-color: inherit; margin
 : 0px; padding: 0px; border: 0px; font-style: inherit; font-variant: inheri
 t; font-weight: inherit; font-size: 8pt; line-height: inherit; font-family:
  MSBM10; vertical-align: baseline;">C&nbsp;</span><span style="color: inher
 it; background-color: inherit; margin: 0px; padding: 0px; border: 0px; font
 -style: inherit; font-variant: inherit; font-weight: inherit; font-size: 12
 pt; line-height: inherit; font-family: CMR12; vertical-align: baseline;">fo
 r which&nbsp;</span><span style="color: inherit; background-color: inherit;
  margin: 0px; padding: 0px; border: 0px; font-style: inherit; font-variant:
  inherit; font-weight: inherit; font-size: 12pt; line-height: inherit; font
 -family: CMMI12; vertical-align: baseline;">M&nbsp;</span><span style="colo
 r: inherit; background-color: inherit; margin: 0px; padding: 0px; border: 0
 px; font-style: inherit; font-variant: inherit; font-weight: inherit; font-
 size: 12pt; line-height: inherit; font-family: CMR12; vertical-align: basel
 ine;">is a Stein manifold. We will also talk about some interesting questio
 ns related to this result. This is a joint work with Misha Kapovich.</span>
 </p><div><span style="color: inherit; background-color: inherit; margin: 0p
 x; padding: 0px; border: 0px; font-style: inherit; font-variant: inherit; f
 ont-weight: inherit; font-size: 12pt; line-height: inherit; font-family: CM
 R12; vertical-align: baseline;"></span></div>
CONTACT:Subhadip Dey (Yale University)
DTSTAMP:20260828T134125
DTSTART;TZID=America/New_York:20220412T155000
DTEND;TZID=America/New_York:20220412T165000
SEQUENCE:0
TRANSP:OPAQUE
END:VEVENT
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