Speaker:

Nikhil S Mande, TIFR

## Time:

Friday, 13 October 2017, 17:15 to 18:15

## Venue:

- A-201 (STCS Seminar Room)

## Organisers:

We use exponential sums to analyze the Fourier spectrum of functions of the type MOD_m^A (with output in {-1, 1}), for any constant m, and a general accepting set A. We will then see how this yields lower bounds on the number of monomials required by any real polynomial which sign represents MOD_m^A on all inputs.

No Fourier analysis background will be assumed, and I will start with a quick recap of the necessary Fourier analytic prerequisites.