Multiple Zeta Values

Burak Turfan (DEU)
Place: B256
Date: 29/11/2019, Time: 13:30

Abstract: In this talk, I will introduce the Riemann zeta function and multiple zeta values. Then, I will show some identities between the Riemann zeta function and harmonic sums. Also, we prove Euler’s formula. I will find some linear relations between the Riemann zeta function and multiple zeta values.

Variants of the Szemeredi Theorem – 2

Selçuk Demir (DEU)

Place: B256

Date and Time: 15/11/2019, 13:15

Abstract: We sill start talking about geometric versions of the Szemeredi theorem.In particular, we plan to discuss the version of the Katznelson-Weiss theorem due to Bourgain. The Katznelson-Weiss theorem says that if A is a subset of the plane with positive upper density, then for every m large enough, there are points x and y of A such that the distance between x and y is equal to m. The necessary background from harmonic analysis will be recalled. 

On the Strong Degree

M. Pınar Eroğlu, Dokuz Eylül University.
Date: 13rd of November, 2019, Wednesday, Time: 14.45 – 16.15.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Classroom B256.
Abstract: In this seminar, we will introduce the concept of the strong degree of a unital ring. The definition involves a rather technical condition, but we shall see that the strong degree can be rather easily computed for certain classes of rings.

Reference: 1. Brešar, M., Chebotar, M. A., and Martindale, W. S. (2007). Functional identities. Springer Science & Business Media.