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Rational points over C_1 fields.

Date: Thursday, November 22, 2018 13:30 - 15:30
Speaker: Marta Pieropan (École polytechnique fédérale de Lausanne)
Location: Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series: Mathematics and CS Seminar
Host: Timothy Browning
Contact: WHEATLEY Susanne
Lab building west seminar room

Abstract:

In the 1950s Lang studied the properties of C_1 fields, that is, fields over which every homogeneous polynomial of degree at most n in n+1 variables has a nontrivial solution. Around 2000 he conjectured that smooth proper rationally connected varieties over C_1 fields have rational points. I will introduce the conjecture and show how to find points on complete intersections of forms of products of projective spaces over C_1 fields of characteristic 0.
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