BILKENT

ALGEBRA SEMINAR

“ON ARF RINGS”

By

NİL ŞAHİN

(Bilkent University)

Abstract: In this talk, we describe Arf rings and closures, and Arf’s method to compute the Arf closures. Introducing an easily implementable new algorithm for computing the Arf closure of an irreducible algebroid curve, we will read the multiplicity sequences of branches from their Arf closures. Moreover, we will talk about a conjecture by Arslan and Sertöz about the relation between the branches with the same regularity indices and give some examples supporting the conjecture that is computed with the new Arf closure algorithm.

Date:  Monday, February 22,  2016

Time: 14.40-15.30

Place: Mathematics Seminar Room, SA-141

All are most cordially invited.
Tea and cookies: before the seminar