Nikita Geldhauser

activity

20202026

collaborators

6 papers

math.AG2026

Motives, cohomological invariants and the Freudenthal magic square

Nikita Geldhauser, Alexander Henke, Maksim Zhykhovich

We investigate cohomological invariants and motivic invariants of semisimple algebraic groups arising in the Freudenthal magic square. Besides, we show that if the Rost invariant o…

math.KT2024

Morava $J$ -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.AG2024

Tits construction and Rost invariant

Nikita Geldhauser, Victor Petrov

We show a Springer type theorem for the variety of parabolic subgroups of type $1, 2, 6$ for all groups of type $E_{6}$ . As far as we know this gives the first example for the validity…

math.AG2024

Chow rings of quasi-split geometrically almost simple algebraic groups

Alexey Ananyevskiy, Nikita Geldhauser

We compute the Chow ring of a quasi-split geometrically almost simple algebraic group assuming the coefficients to be a field. This extends the classical computation for split grou…

math.AG2022

$J$ -invariant of linear algebraic groups of outer type

Nikita Geldhauser, Maksim Zhykhovich

We extend the notion of the $J$ -invariant to arbitrary semisimple linear algebraic groups and provide complete decompositions for the normed Chow motives of all generically quasi-s…

math.KT2020

Morava K-theory of orthogonal groups and motives of projective quadrics