Seminar series
Date
Thu, 10 Feb 2011
Time
16:00 -
17:00
Location
L3
Speaker
Ben Green
Organisation
Cambridge
I will introduce the notion of a nilsequence, which is a kind of
"higher" analogue of the exponentials used in classical Fourier analysis. I
will summarise the current state of our understanding of these objects. Then
I will discuss a variety of applications: to solving linear equations in
primes (joint with T. Tao), to a version of Waring's problem for so-called
generalised polynomials (joint with V. Neale and Trevor Wooley) and to
solving certain pairs of diagonal quadratic equations in eight variables
(joint work with L. Matthiesen). Some of the work to be described is a
little preliminary!