Skip to main content
1 of 2
Daniil Rudenko
  • 4.3k
  • 1
  • 25
  • 33

Motivation for Suslin’s Rigidity Conjecture

Suslin Rigidity conjecture states that motivic cohomology $$ H_{\mathcal{M}}^1(Spec(F),\mathbb{Q}(n)) $$ of the field $F$ coincides with motivic cohomology for the subfield of constants $F_0$.

The fact that first motivic cohomology don’t change under pure transcendental extensions gives some evidence this conjecture.

Question: Does there exist a more conceptual reason for validity of this conjecture? Does it tell us something new about algebraic cycles (under assumption that Standard Conjectures hold)?

Daniil Rudenko
  • 4.3k
  • 1
  • 25
  • 33