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Rational curves, rational points and fixed points

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Jason Starr (Stony Brook) - Seminar Algebraic Geometry (SAG)

What
  • Seminar
When Jun 05, 2014
from 10:30 am to 11:30 am
Where Bonn, Raum 1.016 (Lipschitz-Saal), Mathematik-Zentrum, Endenicher Allee 60
Contact Name sachinid
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There is a strong analogy between continuous sections of a topological fibration, rational points of a variety defined over a non-closed field, and fixed points of the action of a finite group. I will explain this analogy as well as a number of recent results for rational points and fixed points suggested by this analogy: a theorem of de Jong-He-Starr, Yi Zhu's theorem, the Tian-Zong theorem, and work-in-progress of Chenyang Xu and myself for rational points of varieties over global function fields.