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SUMMARY:Harry Richman (University of Washington)
DTSTART:20220121T153000Z
DTEND:20220121T163000Z
DTSTAMP:20260422T172402Z
UID:TGiZ/33
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TGiZ/33/">Un
 iform bounds for torsion packets on tropical curves</a>\nby Harry Richman 
 (University of Washington) as part of Tropical Geometry in Frankfurt/Zoom 
 TGiF/Z\n\n\nAbstract\nSay two points x\, y on an algebraic curve are in th
 e same torsion packet if [x - y] is a torsion element of the Jacobian. In 
 genus 0 and 1\, torsion packets have infinitely many points. In higher gen
 us\, a theorem of Raynaud states that all torsion packets are finite. It w
 as long conjectured\, and only recently proven*\, that the size of a torsi
 on packet is bounded uniformly in terms of the genus of the underlying cur
 ve. We study the tropical analogue of this construction for a metric graph
 . On a higher genus metric graph\, torsion packets are not always finite\,
  but they are finite under an additional "genericity" assumption on the ed
 ge lengths. Under this genericity assumption\, the torsion packets satisfy
  a uniform bound in terms of the genus of the underlying graph. (*by Kuehn
 e and Looper-Silverman-Wilmes in 2021)\n
LOCATION:https://researchseminars.org/talk/TGiZ/33/
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