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Homogeneous polynomials in many variables and rational points on varieties

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Speaker: 
Diego Izquierdo
Affiliation: 
ENS Paris/MPIM
Date: 
Wed, 2018-10-10 16:30 - 17:30
Location: 
MPIM Lecture Hall
Consider a homogeneous polynomial over some field k such that the number of variables is “much larger” than the degree. Does it necessarily have a nontrivial zero in k? Fields for which the answer to this question is affirmative are called Ci fields. Starting with this classical notion, we will overview some important aspects of the study of rational points on algebraic varieties.
 
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