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SUMMARY:Müfit Sezer (Bilkent)
DTSTART:20221118T124000Z
DTEND:20221118T134000Z
DTSTAMP:20260423T021259Z
UID:OBAGS/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OBAGS/14/">V
 ector invariants of a permutation group over characteristic zero</a>\nby M
 üfit Sezer (Bilkent) as part of ODTU-Bilkent Algebraic Geometry Seminars\
 n\n\nAbstract\nWe consider a finite permutation group acting naturally on 
 a vector space V​​ over a field k​​. A well known theorem of Göbe
 l asserts that the corresponding ring of invariants k[V]^G​​ is genera
 ted by invariants of degree at most dim V choose 2​​.  We point out th
 at if the characteristic of k​​ is zero then the top degree of the vec
 tor coinvariants k[mV]_G​​ is also bounded above by n choose 2​​ i
 mplying that Göbel's bound almost holds for vector invariants as well in 
 characteristic zero.\nThis work is joint with F. Reimers.\n
LOCATION:https://researchseminars.org/talk/OBAGS/14/
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