BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Harsh Patil (Univeristy of Bristol)
DTSTART:20260528T123000Z
DTEND:20260528T133000Z
DTSTAMP:20260603T010228Z
UID:GaTO/141
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/141/">C
 oarse separation of Euclidean spaces</a>\nby Harsh Patil (Univeristy of Br
 istol) as part of Geometry and topology online\n\nLecture held in Room B3.
 02 in the Zeeman Building\, University of Warwick.\n\nAbstract\nA subspace
  $S$ of a topological space $X$ is said to <i>separate</i>\nif $X - S$ con
 tains more than one path-component. The classical Alexander\nduality theor
 em implies that if a subset $A$ of the $n$-dimensional sphere\nseparates i
 t\, then $A$ must be of (topological) dimension $n - 1$. <i>Coarse\nsepara
 tion</i> is an analogue of topological separation in the world of\nmetric 
 spaces. Coarse separation arises naturally in geometric group\ntheory. I w
 ill introduce asymptotic dimension which is an analogue of\ntopological di
 mension in the coarse setting. It was conjectured that\nevery coarsely sep
 arating subset of $\\mathbb{R}^n$ is of asymptotic dimension at\nleast $n-
 1$. I have proved this conjecture. I will give an outline of\nthe proof of
  this result.\n
LOCATION:https://researchseminars.org/talk/GaTO/141/
END:VEVENT
END:VCALENDAR