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Borys Kuca -Counting polynomial configurations and equidistribution on nilmanifolds

Starts:15:00 3 Feb 2020
Ends:16:00 3 Feb 2020
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Adults, Alumni, Current University students
Speaker:Borys Kuca
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  • Department of Mathematics

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  • In category "Seminar"
  • In group "(Maths) Maths seminar series"
  • In group "(Maths) Analysis and dynamical systems"
  • By Department of Mathematics

Borys Kuca will be speaking at this research seminar, part of the Dynamical Systems and Analysis seminar series.

Abstract: The equidistribution theorem of Weyl gives a sufficient and necessary condition for when a sequence equidistributes on the torus. What if we replace the torus with a higher-degree nilmanifold, such as Heisenberg nilmanifold? I will show how the equidistribution theory on nilmanifolds developed by Leibman, Green and Tao can be applied to the combinatorial problem of counting certain polynomial configurations in subsets of finite fields.

Speaker

Borys Kuca

Organisation: University of Manchester

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G.113
Alan Turing Building
Manchester

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Tom Kempton

thomas.kempton@manchester.ac.uk

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