5 citations · 5 across the 5 of their papers we have counts for
7 papers
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)…
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…
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…
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…
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…
On the Structure of Algebraic Cobordism
Pavel Sechin
In this paper we investigate the structure of algebraic cobordism of Levine-Morel as a module over the Lazard ring with the action of Landweber-Novikov and symmetric operations on…
Chern classes from Morava K-theories to Chow groups
Pavel Sechin
In this paper we calculate the ring of unstable (possibly non-additive) operations from algebraic Morava K-theory K(n) to Chow groups with -coefficients. More pre…