Martin Orr (Warwick) - Quantitative reduction theory of arithmetic groups
| Dates: | 10 March 2020 |
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| Times: | 15:00 - 15:00 |
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| What is it: | Seminar |
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| Organiser: | Department of Mathematics |
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| Who is it for: | University staff, External researchers, Adults, Alumni, Current University students |
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| Speaker: | Martin Orr |
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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
Travel and Contact Information
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Frank Adams 1
Alan Turing Building
Manchester
