Algebra seminar - Peio Ardaiz
| Dates: | 10 December 2024 |
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| Times: | 14:00 - 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, Current University students |
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| Speaker: | Peio Ardaiz |
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Title: McCullough-Miller space for RAAGs
Abstract: The McCullough-Miller space is a contractible simplicial complex that admits an action of the pure symmetric (outer) automorphisms of the free group, with stabilizers that are free abelian. This space has been used to derive several cohomological properties of these groups, such as computing their cohomology ring and proving that they are duality groups. Right-angled Artin groups (RAAGs) are a family of groups associated to a graphs, which covers a wide range of groups, from free to free abelian. In this talk, we will generalize the construction of McCullough-Miller to pure symmetric (outer) automorphisms of RAAGs, and use it to obtain some cohomological results about them.
Speaker
Peio Ardaiz
Organisation: Universidad Pública de Navarra
Travel and Contact Information
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Frank Adams 1
Alan Turing Building
Manchester
