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We would like to invite you to a talk in the Aalto AGC (Algebra, Geometry and Combinatorics) Seminar.</div>
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The talk is on</div>
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<b>Tue 23.6. </b>at<b> 14:15-15:00</b></div>
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in</div>
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<b>M3 (M234), Otakaari 1.</b></div>
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The speaker is</div>
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<b>Gerald Williams (University of Essex)</b></div>
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giving the talk</div>
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<b>Cyclic presentations of groups, knot groups, LOG groups, and 3-dimensional manifolds</b><br>
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<b>Abstract:</b> A cyclic presentation of a group is a group presentation with an equal number of generators and defining relations that admits a cyclic symmetry; the group it defines is called a cyclically presented group. Prominent examples include Fibonacci
groups and Sieradski groups. Many 3-dimensional manifolds, such as the Brieskorn manifolds have cyclically presented fundamental group.
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Labelled Oriented Graph (LOG) groups are a wide class of groups that contains all knot and link groups, high dimensional knot groups, and Artin's braid groups. They are defined in terms of a Wirtinger-like presentation formed from the LOG.</div>
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The abelianisation (the largest commutative quotient) of a cyclically presented group is determined by the Smith Normal form of a circulant matrix associated to the presentation. In an ongoing programme of research with Noferini we develop tools for calculating
these Smith forms. In this talk I will discuss some of these results and how they can be used to classify cyclically presented groups that are LOG groups and to calculate the homology of the 3-dimensional Brieskorn manifolds.<br>
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The webpage of the seminar is at</div>
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<a href="https://math.aalto.fi/en/research/discrete/seminars/agc/" target="_blank" id="OWA73815428-c742-643a-95b8-1f5d835c2088" class="OWAAutoLink" title="https://math.aalto.fi/en/research/discrete/seminars/agc/" rel="noopener noreferrer" data-auth="NotApplicable" data-linkindex="0" data-ogsc="">math.aalto.fi/en/research/discrete/seminars/agc/</a></div>
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and we have a mailing list at</div>
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<a href="https://list.aalto.fi/mailman/listinfo/agc-math-aalto" target="_blank" id="OWA58577eac-83a7-2f95-0bde-7b50f8bcc6ce" class="OWAAutoLink" title="https://list.aalto.fi/mailman/listinfo/agc-math-aalto" rel="noopener noreferrer" data-auth="NotApplicable" data-linkindex="1" data-ogsc="">https://list.aalto.fi/mailman/listinfo/agc-math-aalto</a></div>
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