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

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

Date: 
Mon, 28/11/201614:00-15:00
Location: 
Ros Building, 70A
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.