“P-adic numbers and characteristic p”
Wednesday 13 March 2024 h. 14:30 - Room 2BC30 - Pietro Vanni (Padova, Dip. Mat.)
Abstract
For each prime p, p-adic numbers form an extension of the rational numbers that, being topologically complete, allows one to use analytic methods in arithmetic. In this talk I will introduce p-adic numbers outlining their basic properties and the role they play in number theory. Then I will give an idea on how one can employ p-adic numbers to study algebraic varieties (i.e. systems of polynomial equations) in characteristic p.
The video of the seminar will appear shortly afterwards in this Mediaspace channel.
