Affine invariants of finite group schemes

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• Kostas Karagiannis, University of Manchester
• Wednesday 15 May 2024, 16:30-17:30
• MR12.

If you have a question about this talk, please contact Adam Jones.

It was previously shown by Peter Symonds that when a finite group acts on a polynomial ring over a field of prime characteristic, the Castelnuovo-Mumford regularity of the invariant subring is at most zero. Further, Karagueuzian and Symonds have shown that, in the same context, only finitely many isomorphism classes of indecomposable representations occur as summands of the polynomial ring. In this talk I will discuss ongoing work, joint with Peter Symonds, that explores to what extent the above results can be generalised when the acting object is replaced by a finite group scheme and the object acted upon by a Noetherian affine scheme.

This talk is part of the Algebra and Representation Theory Seminar series.

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