3 papers
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…
math.AG2018
Applications of the Morava -theory to algebraic groups
Pavel Sechin, Nikita Semenov
In the present article we discuss an approach to cohomological invariants of algebraic groups over fields of characteristic zero based on the Morava -theories, which are general…