

Iskovskikh Seminar
November 6, 2014 18:00, Moscow, Steklov Mathematical Institute, room 540






Weak approximation and rationally connected varieties
D. O. Degtyarev^{} ^{} National Research University "Higher School of Economics", Moscow

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Abstract:
I will talk about some remarkable approximation properties of varieties over
function fields of complex curves. We will discuss general results about
weak approximation of rationally connected varieties at places of good
reduction. The main technical challenge is the places of bad reduction, i.e.
singular fibers of a model. We shall survey situations where the fibers can
be successfully analyzed, or where the global geometry ensures weak
approximation.

