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SUMMARY:Marco Radeschi (University of Notre Dame)
DTSTART:20211006T220000Z
DTEND:20211006T230000Z
DTSTAMP:20260423T021357Z
UID:VSGS/35
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/35/">In
 variant theory without groups</a>\nby Marco Radeschi (University of Notre 
 Dame) as part of Virtual seminar on geometry with symmetries\n\n\nAbstract
 \nGiven an orthogonal representation of a Lie group $G$ on a Euclidean vec
 tor space $V$\, Invariant Theory studies the algebra of $G$-invariant poly
 nomials on $V$. This setting can be generalized by replacing the represent
 ation $G$ with a foliation $F$ on $V$\, with equidistant leaves. In this c
 ase\, one can study the algebra of polynomials that are constant along the
 se fibers - effectively producing an Invariant Theory\, but without groups
 . In this talk we will discuss a surprising relation between the geometry 
 of the foliation and the corresponding algebra\, including recent joint wo
 rk in progress with Ricardo Mendes and Samuel Lin\, showing how to estimat
 e volume and diameter of the quotient $V/F$ using the algebra.\n
LOCATION:https://researchseminars.org/talk/VSGS/35/
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