Differentiability of functions definable in C-minimal valued fields

Seminar series

Logic Seminar

Date

Thu, 25 May 2017
17:30

Location

Speaker

Francoise Delon

Organisation

Institut de Mathématiques de Jussieu (Paris 7)

We consider the differentiability of definable functions in tame expansions
of algebraically closed valued fields.
As the Frobenius inverse shows such a function may be nowhere
differentiable.
We prove differentiability almost everywhere in valued fields of
characteristic 0
that are C-minimal, definably complete and such that, in the valuation
group,
definable functions are strongly eventually linear.
This is joint work with Pablo Cubides-Kovacsics.