Séance Séminaire

Séminaire Algèbre Géométrie Algébrique Topologie Algébrique

Séance spéciale CNRS-Géorgie

Malkhaz Bakuradze, "On the quoitiens of the Lazard universal formal group ring"
We define the formal group laws over the quotient rings of the Lazard universal formal group ring. For each such formal group we construct a complex cobordism theory with singularities which realizes this formal group law. We describe explicitly the coeficient ring of this cobordism theory.

Ruslan Surmanidze, "On decomposition of some isotropic representations"
For isotropic representations, related to some isotropically irreducible homogeneous Riemann spaces, we considered its tensor square. We obtain formulas for the expansion of a $\phi \otimes \phi$ tensor square into a direct sum of irreducible representations: