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DTSTART;TZID=America/Toronto:20231129T100000
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URL:https://uwaterloo.ca/pure-mathematics/events/special-colloquium-49
SUMMARY:Special Colloquium
CLASS:PUBLIC
DESCRIPTION:ANWESH RAY\, CHENNAI MATHEMATICAL INSTITUTE\n\n\"DIOPHANTINE ST
 ABILITY FOR ELLIPTIC CURVES ON AVERAGE\"\n\nLet K be a number field and
  ℓ≥ 5 be a prime number.  Mazur\nand Rubin introduced the notion of
  diophantine stability for a\nvariety X/K at a prime ℓ. Under the hyp
 othesis that all elliptic\ncurves E/ℚ have finite Tate-Shafarevich gro
 up\, we show that there\nis a positive density set of elliptic curves E/
 ℚ of rank 1\, such\nthat E/K is diophantine stable at ℓ. This res
 ult has implications\nto Hilbert's tenth problem for number rings. This is
  joint work with\nTom Weston.\n\nZoom\nlink: https://uwaterloo.zoom.us/j/
 2433704471?pwd=aXJoSDh0NDF0aFREbkthSnFBOUI4UT09
DTSTAMP:20260404T112724Z
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