BEGIN:VCALENDAR VERSION:2.0 PRODID:-//jEvents 2.0 for Joomla//EN CALSCALE:GREGORIAN METHOD:PUBLISH BEGIN:VTIMEZONE TZID:America/New_York BEGIN:STANDARD DTSTART:20221106T010000 RDATE:20230312T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20231105T010000 RDATE:20240310T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20241103T010000 RDATE:20250309T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20251102T010000 RDATE:20260308T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20261101T010000 RDATE:20270314T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20271107T010000 RDATE:20280312T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:STANDARD DTSTART:20281105T010000 RDATE:20290311T030000 TZOFFSETFROM:-0400 TZOFFSETTO:-0500 TZNAME:America/New_York EST END:STANDARD BEGIN:DAYLIGHT DTSTART:20220925T160000 RDATE:20221106T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20230312T030000 RDATE:20231105T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20240310T030000 RDATE:20241103T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20250309T030000 RDATE:20251102T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20260308T030000 RDATE:20261101T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20270314T030000 RDATE:20271107T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT BEGIN:DAYLIGHT DTSTART:20280312T030000 RDATE:20281105T010000 TZOFFSETFROM:-0500 TZOFFSETTO:-0400 TZNAME:America/New_York EDT END:DAYLIGHT END:VTIMEZONE BEGIN:VEVENT UID:a697138ea7c2387c9c15ab07abf4a27a CATEGORIES:Topology/Geometry Seminar CREATED:20230920T210921 SUMMARY:Surface Subgroups in Cocompact Kleinian Groups LOCATION:Hill 705 DESCRIPTION:Kahn and Markovic proved the Surface Subgroup conjecture for closed hyperbo lic 3-manifolds more than ten years ago. The surface subgroup they construc ted can be as close as possible to Fuchsian. However, a closed hyperbolic 3 -manifold can also have surface subgroups far away from being Fuchsian. Act ually, provided any genus-2 quasi-Fuchsian group ? and cocompact Kleinian g roup G, then for any K>1, we can find a surface subgroup H of G that is K-quasiconformally conjugate to a finite index subgroup F<?. We will poi nt out the difference between my theorem and the original Surface Subgroup Theorem, discuss the proof idea, and introduce some applications. For insta nce, we can use this theorem to prove that the set of Hausdorff dimensions of limit sets of surface subgroups of G is dense in [1,2].\n X-ALT-DESC;FMTTYPE=text/html:

Kahn and Markovic proved the Surface Subgroup conjecture for closed hype rbolic 3-manifolds more than ten years ago. The surface subgroup they const ructed can be as close as possible to Fuchsian. However, a closed hyperboli c 3-manifold can also have surface subgroups far away from being Fuchsian. Actually, provided any genus-2 quasi-Fuchsian group ? and cocompact Kleinia n group G, then for any K>1, we can find a surface subgroup H of G that is K-quasiconformally conjugate to a finite index subgroup F<?. We will point out the difference between my theorem and the original Surface S ubgroup Theorem, discuss the proof idea, and introduce some applicatio ns. For instance, we can use this theorem to prove that the set of Hausdorf f dimensions of limit sets of surface subgroups of G is dense in [1,2].

CONTACT:Zhenghao Rao (Brown) DTSTAMP:20260826T215139 DTSTART;TZID=America/New_York:20230926T160000 DTEND;TZID=America/New_York:20230926T170000 SEQUENCE:0 TRANSP:OPAQUE END:VEVENT END:VCALENDAR