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SUMMARY:Affine invariants of finite group schemes - Kostas Karagiannis\, U
 niversity of Manchester
DTSTART:20240515T153000Z
DTEND:20240515T163000Z
UID:TALK216334@talks.cam.ac.uk
CONTACT:Adam Jones
DESCRIPTION:It was previously shown by Peter Symonds that when a finite gr
 oup acts on a polynomial ring over a field of prime characteristic\, the C
 astelnuovo-Mumford regularity of the invariant subring is at most zero. Fu
 rther\, Karagueuzian and Symonds have shown that\, in the same context\, o
 nly finitely many isomorphism classes of indecomposable representations oc
 cur as summands of the polynomial ring.  In this talk I will discuss ongoi
 ng work\, joint with Peter Symonds\, that explores to what extent the abov
 e results can be generalised when the acting object is replaced by a finit
 e group scheme and the object acted upon by a Noetherian affine scheme.
LOCATION:MR12
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