BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Lucas Gierczak (Institut Polytechnique de Paris)
DTSTART:20240614T140000Z
DTEND:20240614T150000Z
DTSTAMP:20260422T172459Z
UID:TGiZ/63
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TGiZ/63/">Co
 unting Weierstrass points on degenerating algebraic curves</a>\nby Lucas G
 ierczak (Institut Polytechnique de Paris) as part of Tropical Geometry in 
 Frankfurt/Zoom TGiF/Z\n\n\nAbstract\nWeierstrass points on algebraic curve
 s are special points of high importance in algebraic geometry and arithmet
 ic geometry. In this talk\, we study how those special points behave when 
 the algebraic curve degenerates to a nodal curve. To this end\, we first e
 xplain why tropical geometry is a relevant formalism for studying degenera
 tion questions. We then define a tropical analogue on metric graphs (seen 
 as tropical curves) for Weierstrass points\, and explore the properties of
  the so-called “tropical Weierstrass locus". We also associate intrinsic
  weights to the connected components of this locus\, and show that their t
 otal sum for a given metric graph and divisor is a function of few combina
 torial parameters (degree and rank of the divisor\, genus of the metric gr
 aph). Finally\, in the case the divisor on the metric graph comes from the
  tropicalization of a divisor on an algebraic curve\, we specify the compa
 tibility between the Weierstrass loci.\n
LOCATION:https://researchseminars.org/talk/TGiZ/63/
END:VEVENT
END:VCALENDAR