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Uniform bound for points of bounded degree in function fields of positive characteristic

Date: Thursday, January 9, 2020 13:30 - 15:30
Speaker: Arthur Forey (ETH Z├╝rich)
Location: Heinzel Seminar Room / Office Bldg West (I21.EG.101)
Series: Mathematics and CS Seminar
Host: Timothy Browning

I will present a bound for the number of F_q[t]-points of bounded degree in varieties defined over Z[t], uniform in q. This generalizes work by Sedunova for fixed q. The proof involves model theory of valued fields and uniform non-Archimedean Yomdin-Gromov parametrizations. This is joint work with Raf Cluckers and Franois Loeser.
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