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SUMMARY:Strong Nielsen equivalence on the punctured disc
DTSTART:20250429T091500Z
DTEND:20250429T101500Z
DTSTAMP:20260505T041900Z
UID:indico-event-14132@indico.math.cnrs.fr
DESCRIPTION:Speakers: Stavroula Makri\n\nA classical problem in Nielsen th
 eory concerns determining the minimum number of fixed points among all map
 s homotopic to a given continuous self-map f of a compact space. This prob
 lem motivated the definition of an equivalence relation on the set of fixe
 d points of f dividing them into Nielsen equivalence classes.In this talk\
 , we will focus on strong Nielsen equivalence\, which is a ”stronger” 
 equivalence relation that deals with periodic points of a surface homeomor
 phism. Specifically\, we will consider orientation-preserving homeomorphis
 ms of the 2-disc. We will study the strong Nielsen equivalence of periodic
  points of such homeomorphisms and we will give a necessary and sufficient
  condition for periodic points to be strong Nielsen equivalent in the cont
 ext of braid theory.\n\nhttps://indico.math.cnrs.fr/event/14132/
LOCATION:1R2-207
URL:https://indico.math.cnrs.fr/event/14132/
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