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

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

Posted at 19:33h in Webinars by Manjil Saikia

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.

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