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SUMMARY:Mahan Mj (Tata Institute of Fundamental Research)
DTSTART:20251023T123000Z
DTEND:20251023T133000Z
DTSTAMP:20260423T003231Z
UID:GaTO/123
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/123/">H
 yperbolic and elliptic commensurations</a>\nby Mahan Mj (Tata Institute of
  Fundamental Research) as part of Geometry and topology online\n\nLecture 
 held in Room B3.02 in the Zeeman Building\, University of Warwick.\n\nAbst
 ract\nA group $G$ is said to commensurate a subgroup $H$\, if for all $g$ 
 in $G$\, the intersection $H^g \\cap H$ has finite index in both $H$ and $
 H^g$.  (Here $H^g$ denotes the conjugate of $H$ by $g$.) The commensuratio
 n action of $G$ on $H$ can be studied dynamically. This gives rise to two 
 extreme behaviours: hyperbolic and elliptic. We will discuss what these me
 an and survey a range of theorems and conjectures in this context\, starti
 ng with work of Mostow and Margulis\, and coming to the present day.\n
LOCATION:https://researchseminars.org/talk/GaTO/123/
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