Event Type:

Graduate Student Summer Seminar

Date/Time:

Monday, July 11, 2016 - 14:30 to 15:30

Location:

Kidder 364

Abstract:

An algebraic number is said to be totally p-adic if its minimal polynomial splits completely over Qp (the completion of the rational numbers under the p-adic metric). The presenter will begin with a brief overview of p-adic numbers and height theory, followed by a condition for when a cubic polynomial splits completely over Qp.