BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4//
BEGIN:VEVENT
UID:20250714T012848EDT-67900rSx8R@132.216.98.100
DTSTAMP:20250714T052848Z
DESCRIPTION: \n\nTitle: Arithmetic and dynamics on homogeneous spaces\n\n\n
 	 \n\nAbstract: Arithmetic homogeneous spaces and their quotients are ubiqu
 itous in number theory. All-important examples are the modular curve\, mor
 e general Shimura varieties\, and the space of lattices in the Euclidean s
 pace of a fixed dimension. In this talk we will discuss questions about eq
 uidistribution of arithmetic objects on homogeneous spaces. These objects 
 often arise as periodic orbits of actions by an algebraic group. Some of t
 he most interesting actions on homogeneous spaces\, from an arithmetic poi
 nt of view\, are those of diagonalizable groups\, viz. algebraic tori. The
 y are related\, inter alia\, to Galois orbits of special points on Shimura
  varieties\, such as the Heegner points on the modular curve. These action
 s also generalize the geodesic flow on a hyperbolic manifold.\n\n\n	 \n\nTh
 e orbits of diagonalizable group actions on homogeneous spaces remain myst
 erious. I will review several outstanding questions about equidistribution
  of periodic orbits for higher rank diagonalizable groups and some major c
 hallenges they pose. I will then discuss recent progress based on a fusion
  of ideas from homogeneous dynamics\, arithmetic and automorphic forms.\n
DTSTART:20190124T210000Z
DTEND:20190124T220000Z
LOCATION:Room 708\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Ilya Khayutin - Princeton
URL:/mathstat/channels/event/ilya-khayutin-princeton-2
 93609
END:VEVENT
END:VCALENDAR