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Polynomial invariants of conjugation over finite fields
May 14, 2026 @ 4:00 pm - 5:00 pm
Algebra Seminar
Speaker: Aryaman Maithani, University of Utah
Title: Polynomial invariants of conjugation over finite fields
Abstract: Consider the conjugation action of GL₂(K) on the polynomial ring K[X₂ₓ₂].
When K is an infinite field, the ring of invariants is a polynomial ring generated by the trace and the determinant.
We describe the ring of invariants when K is a finite field, and show that it is a