On the proof of the conservativity conjecture. Abstract: I will review the strategy of the proof of the conservativity conjecture for the classical realisations of Voevodsky motives over a characteristic zero fields. I will also mention some other consequences of this proof such as the nilpotence of endomorphisms acting by zero on cohomology. The conservativity conjecture states that a morphism between two motives is. an isomorphism if and only if its realisation is. This is a central conjecture in the. theory of motives with many concrete consequences on algebraic cycles. The goal of. my talk will be to introduce this conjecture, describe some of its consequences and.

I will start by explaining the link between Murre’s conjectures, the existence of a conjectural Bloch-Beilinson filtration on the Chow ring of smooth projective varieties, Kimura’s finite-dimensionality conjecture, and the conservativity conjecture. After reviewing examples of varieties for which a weight decomposition does exist, I will ... One can only conjecture about the reasons for Russia's change of front. Grenville, J. A. S. The Collins History of the World in the 20th Century (1994) That, for now, is mere conjecture. Times, Sunday Times (2016) But a spokesman said: 'All reports are pure conjecture as the studio has not committed to a sequel as yet. The Sun (2015)