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 Zürich)
Location
Heinzel Seminar Room / Office Bldg West (I21.EG.101)
Series
Seminar/Talk
Tags
Mathematics and CS Seminar
Host
Timothy Browning
Contact
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.