Heilbronn Algebra Seminar - Paolo Marimon
| Dates: | 20 October 2026 |
| Times: | 14:00 - 14:00 |
| What is it: | Seminar |
| Organiser: | Department of Mathematics |
| Who is it for: | University staff, External researchers, Current University students |
| Speaker: | Paolo Marimon |
|
Title: All mixed identities are singular in groups with no algebraicity.
Abstract:
We show that if a group admits an action with no algebraicity, then all of its mixed identities are singular. This generalises a theorem of Abért showing such groups are lawless. Our result confirms a conjecture of Bodirsky, Schneider, and Thom for a large class of oligomorphic permutation groups, including the automorphism group of the rational numbers with their order. More generally, our result applies to a wide range of groups (for example, Thompson's groups, weakly branch groups, and homeomorphism groups of manifolds of dimension at least 1). This is joint work with Michael Pinsker.
Speaker
Paolo Marimon
Organisation: University of Oxford
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Frank Adams 1
Alan Turing Building
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