Mathematics Graduate Student Colloquium

MGSC Website: http://math.uci.edu/~mgsc/

Slopes of Two Generalizations of the Artin-Schreier-Witt Towers

Rufei Ren
Monday, April 10, 2017
4:00 pm - 4:50 pm
RH340N

Talk Abstract:

Let p be a prime number. The Artin-Schreier-Witt tower delt in [DWX] is defined by a single variable polynomial f(x) ∈ F p which is a tower of curves ⋅ ⋅ ⋅ → C m → C m-1 → ⋅ ⋅ ⋅ → C 0 =A 1 , with total Galois group Z p . In [DWX], Davis, Wan and Xiao showed that when the conductor m χ of a character χ is large enough, the slopes of NP( f , χ ) L form arithmetic progressions which are independent of m χ . We mainly studied its two generalizations.

About the Speaker:

Rufei is a 5th year in the math department. He enjoys both watching and playing DOTA games in his free time.

Refreshments:

Pizza will be served after the talk.