summer 2018
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Research interests:arithmetic geometry, number theory, algebraic topology, algebraic K-theory |
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Marta Pieropan, Freie Universität Berlin
22.02.2016, 12.00, B1-37
Title: On rationally connected varieties over large C_1 fields of characteristic 0
In the 1950s Lang studied the properties of C_1 fields, that is, fields over which every hypersurface of degree at most n in an n-dimensional projective space has a rational point. Later he conjectured that every smooth proper rationally connected variety over a C_1 field has a rational point. The conjecture is proven for finite fields by Esnault and for function fields of curves over algebraically closed fields by Graber, Harris, de Jong and Starr. I will use birational geometry to address the open case of Henselian fields of mixed characteristic with algebraically closed residue field.