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math.KT2023
Morava K-theory and Rost invariant
Andrei Lavrenov, Victor Petrov
We prove that inner forms of a variety of Borel subgroups have isomorphic motives with respect to the second Morava K-theory if and only if the corresponding Tits algebras and Rost…
math.KT2020
Morava K-theory of orthogonal groups and motives of projective quadrics
Nikita Geldhauser, Andrei Lavrenov, Victor Petrov +1
We compute the algebraic Morava K-theory ring of split special orthogonal and spin groups. In particular, we establish certain stabilization results for the Morava K-theory of spec…