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Friday, September 25, 2015

1:10 PM - 2:00 PM (ET)

Exley Science Center (Tower)

Event Type

Seminar/Colloquium

Contact

Caryn Canalia

Link

https://eaglet.wesleyan.edu/MasterCalendar/EventDetails.aspx?EventDetailId=64437

** Abstract**:
For a projective and smooth curve over a
finite field, the zeros of its zeta function determine the number of points
over finite fields. In this talk, we are interested in studying the p-adic
valuations of these zeros, especially its asymptotic/periodic behavior over a
Z_p Artin-Scheier-Witt tower of curves ... C_n -> ... -> C_0. It turns
out that the p-adic valuations of the zeros of the zeta functions for the first
few curves determine those for the rest of the curves.

This is a joint work with Chris Davis and Daqing Wan.