Webinar: Almost Arithmetic Progressions in “substantial” subsets of Integers by Prof. Shobha Madan (IIT Goa)

Gonit Sora is organizing a webinar to be delivered by Prof. Shobha Madan of the Indian Institute of Technology, Goa. The details are given below.

Date: 17 October 2020 (Saturday)

Time: 2.30 pm IST

Title: Almost Arithmetic Progressions in “substantial” subsets of Integers

Abstract: In this talk I will first describe two conjectures by Erdos and Turan. The first conjecture is from 1936, and is now a famous theorem due to Szemeredi. The second conjecture is a stronger version, namely that is a_1<a_2<\cdots is an infinite subset of integers such that \sum \frac{1}{a_j} diverges, then for every k there exists k a‘s in an arithmetic progression. This conjecture is still open in its generality.

In the last part of the talk, I will present a proof, due to J. M. Frazer, of a weaker assertion replacing AP’s by approximate AP’s.

About the Speaker: Prof. Shobha Madan is a distinguished visiting professor at IIT Goa. She has held positions at IIT Kanpur and IISER Mohali before this, having done her PhD at IIT Kanpur in 1980. She is a distinguished harmonic analyst who has inspired generations of students by her teaching and expertise.

The talk will be suitable for a general audience (college students are specially welcome), and will be held online via Zoom. It will also be livestreamed on our Facebook page.

All our talks are recorded and the recording is made available on our YouTube channel later.

If there are any questions, comments, criticisms or suggestions then please feel free to email us at [email protected].

e-Certificates will be issued to participants who attend the talk on Zoom.

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