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DTSTART;VALUE=DATE:20150224T171500
DTEND;VALUE=DATE:20150224T171500
UID:5721@agenda.unifr.ch
DESCRIPTION:For orientable connected closed manifolds of the same \ndimension, there is a kind of order: M DOMINATES N if there exists a \ncontinuous map of non-zero degree from M onto N. In a first part, I will \nrecall the notion of degree (Brouwer, Hopf), show some examples of \n(non-)domination, and in particular discuss when a manifold can (or \ncannot) be dominated by a product. These considerations suggest a notion \nfor groups (fundamental groups): a group is PRESENTABLE BY A PRODUCT if \nit contains two infinite commuting subgroups which generate a subgroup \nof finite index. In a second part, I plan to discuss groups \n(non-)presentable by products, including some Coxeter groups.\n\n
SUMMARY:Prof. Pierre de la Harpe (Geneva): Maps of non-zero degrees between manifolds and groups not presentable by products
CATEGORIES:Colloque / Congrès / Forum
LOCATION:PER 08\, Phys 2.52\, Chemin du Musée 3\, 1700 Fribourg
URL;VALUE=URI:https://agenda.unifr.ch/e/fr/5721
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