[Turkmath:6376] FGC-IPM-HRI number theory[Haydar Goral][Feb 21]

[kazimilhan.ikeda]

Değerli matematikçiler,

Aşağıda Feza Gürsey Fizik ve Matematik UygAr Merkezinin HRI ve IPM ile 
zoom üzerinden ortak tertiplediği Sayılar Teorisi Seminer Dizisi 
bünyesinde 21 Şubat 2024 (önümüzdeki Çarşamba günü)

saat 17:00'da yapılacak konuşmanın detaylarını bulacaksınız.

İyi çalışmalar,

ilhan ikeda

--------------------

Dear all,

Our next talk is on February 21, Wednesday by Haydar Goral from Izmir 
Technology Institute.
Please find the details of his talk below.

Speaker: Haydar Goral, Izmir, Turkey
Title: Counting arithmetic progressions modulo p

Abstract: In 1975, Szemeredi gave an affirmative answer to Erdös and 
Turan's conjecture which states that any subset of positive integers 
with a positive upper density contains arbitrarily long arithmetic 
progressions. Szemeredi-type problems have also been extensively studied 
in subsets of finite fields. While much work has been done on the 
problem of whether subsets of finite fields contain arithmetic 
progressions, in this talk we concentrate on how many arithmetic 
progressions we have in certain subsets of finite fields. The technique 
is based on certain types of Weil estimates. We obtain an asymptotic for 
the number of k-term arithmetic progressions in squares with a better 
error term. Moreover our error term is sharp and best possible when k is 
small, owing to the Sato-Tate conjecture. This work is supported by the 
Scientific and Technological Research Council of Turkey with the project 
number 122F027.

Date and Time: Wednesday, February 21, 19:30 Allahabad, 17:30 Tahran, 
17:00 Istanbul

Zoom link: https://kocun.zoom.us/j/99715471656
Meeting ID: 997 1547 1656
passcode: 848084

ICS-File: https://researchseminars.org/seminar/FGC-IPM/ics

We hope to see you all,

Özlem Ejder

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