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SUMMARY:Moduli Space of Planar Polygons
DTSTART:20260427T143000Z
DTEND:20260427T153000Z
DTSTAMP:20260509T115100Z
UID:indico-event-16492@indico.math.cnrs.fr
DESCRIPTION:Speakers: Mohamed Boukholkhal\n\nStudying spaces of geometric 
 objects is a very natural idea in mathematics. A famous example is the rea
 l projective space (i.e.\, the space of vectorial lines in R^n). In this t
 alk\, we will focus on the configuration space of planar polygons: given a
 n n-tuple of positive real numbers\, one can ask what the space of planar 
 polygons with edge lengths prescribed by this n-tuple looks like. Using Mo
 rse theory\, we will show that the space of equilateral pentagons is a clo
 sed orientable surface of genus 4 (a torus with four holes).\n\nhttps://in
 dico.math.cnrs.fr/event/16492/
LOCATION:S435 (UMPA)
URL:https://indico.math.cnrs.fr/event/16492/
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