BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:Geometry Seminar: Effective hyperbolization of 3-manifolds
DTSTART:20240506T110000
DTEND:20240506T120000
DTSTAMP:20260601T105525Z
UID:8b6b08b9e8512d2fcf3f47d3284c6319f0c5c07bbcc70c203a1ce806
CATEGORIES:Conferences - Seminars
DESCRIPTION:Peter Feller\, (ETHZ)\nAbstract\n\nAfter a brief survey of the
  study of low-dimensional manifolds -- spaces locally modelled on the topo
 logical space R^n for n<5 -- we will discuss the idea of geometrization. T
 he latter refers to a program\, initiated by Thurston\, of studying 3-dime
 nsional manifolds by means of eight geometric model spaces\, which include
  the Euclidean space and hyperbolic space.\n\nIt turns out that most 3-dim
 ensional manifolds carry a hyperbolic structure\, i.e. they are locally mo
 delled on hyperbolic space. A precise version of this statement was proven
  by Maher invoking topological work of Hempel and Perelman's celebrated an
 alysis results on Ricci-flow. We will discuss an approach to hyperbolizati
 on of most 3-dimensional manifolds that circumvents invoking the Ricci flo
 w. As an upshot\, with this approach one can control many geometric quanti
 ties such as injectivity radius\, diameter\, and volume of hyperbolic stru
 ctures. We will provide ``hands-on'' examples of 3-manifolds that can be h
 yperbolized with this scheme.\n\nBased on joint work in progress with A. S
 isto and G. Viaggi.\n 
LOCATION:CM 1 517 https://plan.epfl.ch/?room==CM%201%20517
STATUS:CONFIRMED
END:VEVENT
END:VCALENDAR