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SUMMARY:Marco Radeschi (University of Notre Dame)
DTSTART:20200701T123000Z
DTEND:20200701T133000Z
DTSTAMP:20260423T004142Z
UID:GeoSem/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GeoSem/2/">I
 nvariant Theory without groups</a>\nby Marco Radeschi (University of Notre
  Dame) as part of Geometry Seminar - University of Florence\n\n\nAbstract\
 nGiven an orthogonal representation of a Lie group G on a Euclidean vector
  space V\, Invariant Theory studies the algebra of G-invariant polynomials
  on V. This setting can be generalized by replacing the orbits of the repr
 esentation with a foliation by the fibers of a manifold submetry\nfrom the
  unit sphere S(V)\, and consider the algebra of polynomials that are const
 ant along these fibers (effectively producing an Invariant Theory\, but wi
 thout groups)\nIn this talk we will exhibit a surprisingly strong relation
  between the geometric information coming from the submetry and the algebr
 aic information coming from the corresponding algebra\, with several appli
 cations to classical Invariant Theory.\nThis talk is based on a joint work
  with Ricardo Mendes.\n
LOCATION:https://researchseminars.org/talk/GeoSem/2/
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