College of Science and Mathematics
Department of Mathematics
Mathematics Seminar Series - Spring 2008
Monday,
April 7, 2008
2:30pm - 3:55pm, Science 2-065
2:30pm - 3:55pm, Science 2-065
Artin groups, Bestvina-Brady groups and Algebraic Hypersurfaces
Abstract:
The Artin group A associated to a labeled simplicial graph G is the group with the following presentation: one generator for each vertex v in V, and one relation for each edge e=vw in E, namely vwv...=wvw..., where each side has length the label of edge e. A Bestvina-Brady N associated to G is the kernel of an epimorphism from A to the integers. In this talk we will discuss which Artin and Bestvina-Brady groups are fundamental groups of complements to projective algebraic hypersurfaces.
The presentations cover a large variety of topics and are intended for a general math audience. The seminar is organized by Prof. Alfred Noël and we usually meet Monday afternoons, from 2:30 pm to 3:55 pm.
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