webcal
 Month:  Mar 2018 Apr 2018 May 2018 Jun 2018 Jul 2018 Aug 2018 Sep 2018 Oct 2018 Nov 2018 Dec 2018 Jan 2019 Feb 2019 Mar 2019 Apr 2019 May 2019 Jun 2019 Jul 2019 Aug 2019 Sep 2019 Oct 2019 Nov 2019 Dec 2019 Jan 2020 Feb 2020 Mar 2020 Week:  Aug 13 - Aug 17 Aug 20 - Aug 24 Aug 27 - Aug 31 Sep 3 - Sep 7 Sep 10 - Sep 14 Sep 17 - Sep 21 Sep 24 - Sep 28 Oct 1 - Oct 5 Oct 8 - Oct 12 Oct 15 - Oct 19 Oct 22 - Oct 26 Oct 29 - Nov 2 Nov 5 - Nov 9 Nov 12 - Nov 16 Nov 19 - Nov 23 Year:  2016 2017 2018 2019 2020 2021 2022 2023 Login

## Niranjan Balachandran

 Description: Title: A function field analogue of a theorem of Sarkozy, due to B Green. Speaker: Niranjan Balachandran Date-Time: Wednesday, February 28 2018, 2 PM to 3.30 PM Venue: Ramanujan Hall Abstract: In the late 70s Sarkozy proved the following theorem: Given a polynomial f(T) over the integers with f(0)=0, there exists a constant c_f such that for any set $A\subset [n]$ of size at least $n/(log n)^{c_f}$ there exist distinct $a,b\in A$ such that $a-b=f(x)$ for some $x$. In 2016, Ben Green proved a function field analog of the same result but with a much better bound for $|A|$: Given a polynomial $F\in\bF_q[T]$ of degree $k$ with $F(0)=0$, there exists $0 q^{(1-c)n}$ there exist $\alpha(T)\neq\beta(T)$ in $A$ such that $\alpha(T)-\beta(T)=F(\gamma(T))$ for some $\gamma(T)\in\bF_q[T]$. We will see a proof of this result. Location: Ramanujan Hall, Department of Mathematics Date: Wednesday, February 28, 2018 Time: 2:00pm-3:30pm IST Duration: 1 hour 30 minutes Access: Public