Zeta Functions of an Optimal Tower of Function Fields

Speaker: Dr Alexey Zaytev (CSI & Sch. Math. Sc., University College Dublin)

Time: 4:00PM

Date: Mon 14th September 2009

Location: Mathematical Sciences Seminar Room


A recursive formula of L-polynomial of each step was obtained. Additionally we prove that the Galois closure of the second Garcia-Stichtenoth tower is ordinary tower and hence the initial tower is also ordinary. In particularly, L-polynomials up to step 6 were computed.

(This talk is part of the Algebra/Claude Shannon Institute series.)