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UID:6a24032e4573e
DTSTART;TZID=America/Toronto:20200721T100000
SEQUENCE:0
TRANSP:TRANSPARENT
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URL:https://uwaterloo.ca/pure-mathematics/events/phd-thesis-defence-18
SUMMARY:PhD Thesis Defence
CLASS:PUBLIC
DESCRIPTION:EHSAAN HOSSAIN\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSITY OF
  WATERLOO\n\n\"Recurrence in Algebraic Dynamics\"\n\nLet $\\varphi:X\\dash
 rightarrow X$ is a rational mapping of an algebraic\nvariety $X$ defined o
 ver $\\C$. The _orbit_ of a point $x\\in X$ is the\nsequence $\\{x\,\\var
 phi(x)\,\\varphi^2(x)\,\\ldots\\}$. Our basic question\nis: how often does
  this orbit intersect a given closed set $C$? Thus\nwe are interested in t
 he _return set_\n\n\\[ E := \\{n\\geq 0 : \\varphi^n(x)\\in C\\}. \\]
DTSTAMP:20260606T112326Z
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