The elements of the field Q_p of p-adic numbers can be thought of as "Laurent series in p". This description makes Q_p look similar to the field F_p((t)) of actual Laurent series over F_p. In my talk, I will discuss ways to formalize this relationship and transport statements about one field to the other. I will describe in detail one such way, the tilting correspondence: after passing to an infinitely ramified extension, a tilting operation gives a one-to-one correspondence between the finite extensions of the two fields. Speaker(s): Emanuel Reinecke (UM)