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SUMMARY:Michael Ruddy (MPI MIS\, Leipzig)
DTSTART:20200423T150000Z
DTEND:20200423T153000Z
DTSTAMP:20260423T024549Z
UID:NASO/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NASO/10/">Eq
 uivalence classes of planar algebraic curves through numerical algebraic g
 eometry</a>\nby Michael Ruddy (MPI MIS\, Leipzig) as part of Max Planck In
 stitute nonlinear algebra seminar online\n\n\nAbstract\nFor the action of 
 a group on the plane\, the group equivalence problem for curves can be sta
 ted as: given two curves\, decide if they are related by an element of the
  group. We describe an efficient equality test\, using tools from numerica
 l algebraic geometry\, to determine (with “probability-one”) whether o
 r not two rational maps have the same image up to Zariski closure. Using s
 ignature maps\, constructed from differential and joint invariants\, we ap
 ply this test to solve the group equivalence problem for algebraic curves 
 under the linear action of algebraic groups. In this talk I will discuss t
 he equality test and signature maps for algebraic curves\, focusing on the
  action of the complex Euclidean group for our computations and examples. 
 I will present some of our results comparing the sensitivity of different 
 signature maps. This is based on joint work with Tim Duff.\n
LOCATION:https://researchseminars.org/talk/NASO/10/
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