NT&AG: Boris Zilber (University of Oxford), "On algebraically closed field of characteristic 1"

Abstract: I will start with a motivation of what algebraic (and model-theoretic) properties an algebraically closed field of characteristic 1 is expected to have. Then I will explain how these properties can be obtained by the well-known in model theory Hrushovski's construction and then formulate very precise axioms that such a field must satisfy. The axioms have a form of statements about existence of solutions to systems of equations in terms of a 'multi-dimansional' valuation theory and the validity of these statements is an open problem to be discussed.

Date: 

Mon, 28/11/2016 - 14:00 to 15:00

Location: 

Ros Building, 70A