Arithmetic stability in p-adic towers of global fields
Student No.:40
Time:Tue & Wed 13:20-15:05, Jul.17 & 18,
Instructor:万大庆 Wan Daqing  
Place:Conference Room 1, Jin Chun Yuan West Bldg.
Starting Date:2018-7-17
Ending Date:2018-7-18

Description: Given a global field K of charactersitic p>0, the fundamental arithmetic invariants include the genus, the class number, the p-rank and more generally the slope sequence of the zeta function of K. In this expository lecture, we explore possible stability of these invariants in a p-adic Lie tower of K. Strong stability is expected when the tower comes from algebraic geometry, but this is already sufficiently interesting and difficult in the case of Z_p towers

Prerequisite: Basic algebraic number theory and p-adic analysis.