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Martin Orr (Warwick) - Quantitative reduction theory of arithmetic groups

Dates:10 March 2020
Times:15:00 - 15:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Adults, Alumni, Current University students
Speaker:Martin Orr
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  • Department of Mathematics

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  • In category "Seminar"
  • In group "(Maths) Maths seminar series"
  • In group "(Maths) Number theory "
  • By Department of Mathematics

Abstract: Borel and Harish-Chandra's reduction theory for arithmetic groups constructs of fundamental sets for arithmetic group actions, extending the classical reduction theory of quadratic forms. I will explain a quantitative version of this theory (joint work with Daw), giving polynomial bounds for the translations needed to construct fundamental sets for a conjugacy class of subgroups of a fixed reductive group, even though the shape of the fundamental sets varies dramatically through the conjugacy class. This has applications to the Zilber-Pink conjecture.

Speaker

Martin Orr

Organisation: University of Warwick

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Frank Adams 1
Alan Turing Building
Manchester

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Faustin Adiceam

faustin.adiceam@manchester.ac.uk

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