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SUMMARY:Rank growths of elliptic curves over some Galois extensions and Ma
 rkov operators [MPIM]
DTSTART:20250306T140000Z
DTEND:20250306T150000Z
DTSTAMP:20260416T074200Z
UID:indico-event-268@math-events.uni-bonn.de
DESCRIPTION:Speakers: Sun Woo Park (MPIM)\n\nMPI-Oberseminar\nRank growths
  of elliptic curves over some Galois extensions and Markov operators\nAbst
 ract:I would like to give an overview of the insights from the work by Swi
 nnerton-Dyer and Klagsbrun--Mazur--Rubin\, who established relations betwe
 en Markov operators over countable state spaces and changes in Mordell-Wei
 l rank of elliptic curves with respect to base change to cyclic Galois ext
 ensions over number fields. If time allows\, we will use this insight to g
 eneralize the technique to understand changes in Mordell-Weil ranks of ell
 iptic curves with respect to families of S3-cubic extensions over number f
 ields with fixed quadratic resolvents. My hope is to make the talk be acce
 ssible and explicit for non-specialists as well. This talk is based on joi
 nt works in progress with Daniel Keliher.\n\nhttps://math-events.uni-bonn.
 de/event/268/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/268/
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