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Speaker:
Alina Ostafe
Affiliation:
U. of New South Wales / MPIM
Date:
Tue, 18/11/2014 - 15:00 - 16:00
Location:
MPIM Lecture Hall
Parent event:
Number theory lunch seminar In this talk I will discuss new results about polynomial images of affine spaces of finite fields, in particular the frequency with which they fall in another affine subspace. I will explain several improvements and generalisations of previously known results, for example, extending such results to polynomials of degrees higher than the characteristic of the field. Such results have immediate consequences to intersection of orbits with affine subspaces, estimating new types of exponential sums, Waring's problem in affine subspaces, etc.
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