[Turkmath:5321] Koç Üniversitesi - Mathematics Seminar - December 21th

[Asgar Jamneshan]

Dear all,


We would like to cordially invite you to this week's mathematics seminar at Koç University.  Everyone is welcome to attend.  Please write an email to me at ajamneshan at ku.edu.tr<mailto:ajamneshan at ku.edu.tr> to receive the zoom link.  The details of this week's talk may be found below.


Best regards,


Asgar Jamneshan




KOÇ UNIVERSITY MATH SEMINAR

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Speaker         : Faruk Temur, İzmir Institute of Technology

Title                : Discrete fractional integrals, lattice points on thin arcs, and diophantine approximation

Date               : Tuesday, December 21, 2021

Time            : 14:30-15:40

Place           : SCI103 (Zoom)





Abstract:



The study of discrete fractional integral operators began with an article of Arkhipov and Oskolkov on boundedness of certain multipliers, and for over thirty years concentrated on cases with translation invariant or quasitranslation invariant phase polynomial, as these cases are amenable to the Fourier transform and the Hardy-Littlewood circle method. Recently in joint work with E. Sert, we introduced methods from arithmetic to study discrete fractional integral operators along quadratic bivariate polynomials in their full generality. This is achieved by combining the information regarding distribution of lattice points on conics gleaned via classical theory of binary quadratic forms and sieving with very careful partitioning of sums under question. This effort as a side benefit yields new results on various conjectures on concentration of lattice points on conics and makes connections to diophantine approximation.



In this talk we will give a brief summary of these results on fractional integrals and lattice points, together with their mathematical context and main ideas of their proofs.





The Mathematics Seminar schedule can be found at https://mysite.ku.edu.tr/math-sci/

Fall 2021-22 - Koç University - Mathematics Seminar<https://mysite.ku.edu.tr/math-sci/>
Room: SCI 103 Alternatively, if you would like to attend the seminar online, please send an email to Asgar Jamneshan at ajamneshan at ku.edu.tr for the Zoom link. October 19, 2021, 14:30-15:40 Asgar Jamneshan (Koç University) Extensions of the ergodic Roth and Szemeredi theorems and aspects of uniformity I will give an introduction to ergodic Ramsey theory … Continue reading "Fall 2021-22"
mysite.ku.edu.tr
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