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SUMMARY:Boris Shapiro (Stockholm University)
DTSTART:20220210T123000Z
DTEND:20220210T132000Z
DTSTAMP:20260416T063039Z
UID:WSTGRT/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WSTGRT/1/">R
 eturn of the plane evolute</a>\nby Boris Shapiro (Stockholm University) as
  part of Workshop on Singularity Theory\, Geometry and Related Topics\n\n\
 nAbstract\nBelow we consider the evolutes of plane real-algebraic curves a
 nd discuss some of their complex and real-algebraic properties. In particu
 lar\, for a given degree d ≥ 2\, we provide lower bounds for the followi
 ng four numerical invariants: 1) the maximal number of times a real line c
 an intersect the evolute of a real-algebraic curve of degree d\; 2) the ma
 ximal number of real cusps which can occur on the evolute of a real-algebr
 aic curve of degree d\; 3) the maximal number of (cru)nodes which can occu
 r on the dual curve to the evolute of a real-algebraic curve of degree d\;
  4) the maximal number of (cru)nodes which can occur on the evolute of a r
 eal-algebraic curve of degree d.\n
LOCATION:https://researchseminars.org/talk/WSTGRT/1/
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