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UID:09f64e6d9e70930bb6cc719899246062
DTSTAMP:20260713T232223Z
SUMMARY:Martin Orr (Imperial): A bound for rational representations of isog
 enies in the fundamental set
DESCRIPTION:Let z and z’ be two points in the standard fundamental set in
  the upper half-plane. If the corresponding elliptic curves are related by
  an isogeny of degree N\, then there is a 2×2 matrix with integer coeffic
 ients and determinant N which maps z to z’. As an ingredient in their wo
 rk on unlikely intersections\, Habegger and Pila proved that the entries o
 f this matrix are bounded by a uniform polynomial in N. I will discuss the
  generalisation of this result to moduli of abelian varieties and beyond\,
  to Riemannian symmetric spaces of non-compact type.
URL:https://www.imperial.ac.uk/events/103624/martin-orr-imperial-a-bound-fo
 r-rational-representations-of-isogenies-in-the-fundamental-set/
DTSTART;TZID=Europe/London:20151007T160000
DTEND;TZID=Europe/London:20151007T170000
LOCATION:United Kingdom
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DTSTART:20151007T160000
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