Title: L-Functions of Artin-Schreier-Witt Towers (I)
Speaker: Daqing Wan (University of California Irvine)
Time: 2015-4-27, 10:00-10:50
Place: 610
Abstract: The Artin-Schreier-Witt tower is a Z_p-tower of curves C_n defined by the Witt vector of a polynomial over a finite field of characteristic p. The zeta function of the curve C_n becomes increasingly complicated as n grows. In this series of two lectures, we explain a remarkable stable property of the slopes of the zeta functionof C_n as n grows. This is joint work with Chris Davis and Liang Xiao. We shall also speculate what happens for a general Z_p tower of curves.
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