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summer 2018
 
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Wojciech J. Gajda

professor of mathematics

Mailing address:
Faculty of Mathematics and Computer Science
Adam Mickiewicz University
Umultowska 87, 61-614 Poznań, POLAND
Office: Collegium Mathematicum, B1-35
Phone: +48 (61) 829 5503
Fax: +48 (61) 829 5315
Email: gajda AT amu DOT edu DOT pl

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

Abstract:

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.