3 papers
math.AG2025
Chern classes from Morava K-theories to -typical oriented theories
Pavel Sechin
We study non-additive operations from algebraic Morava K-theories to oriented cohomology theories in algebraic geometry. For oriented cohomology theory that has a {}-typic…
math.AG2025
Invertible Morava motives in quadrics
Andrei Lavrenov, Pavel Sechin
We associate to any element in the Milnor K-theory of a field modulo 2 an invertible Morava K-theory motive over . Specifically, for in $\mathrm{K}^{\mathrm{M}}_{n+1}(k…
math.KT2024
Morava -invariant
Nikita Geldhauser, Andrei Lavrenov, Victor Petrov +1
We compute the co-multiplication of the algebraic Morava K-theory for split orthogonal groups. This allows us to compute the decomposition of the Morava motives of generic maximal…