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SCIENTIFIC PROGRAMS AND ACTIVTIES |
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December 23, 2024 | ||||||||||||||||||||||||||||||||||||||||||||||||
August 16-19, 2006
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Wednesday Aug 16 |
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10-11 |
Zlil Sela, Hebrew University |
11:15 12:15 |
Jon McCammond, UC Santa Barbara |
14:30-15:30 | Daniel Wise, McGill University Nonpositively Curved Cube Complexes in Geometric Group Theory Nonpositively curved cube complexes have come to occupy an increasingly important role in geometric group theory. Surprisingly many of the groups traditionally studied by combinatorial group theorists are turning out to act properly on CAT(0) cube complexes. This is leading to an increased and more unified understanding of these groups, as well as the resolution of some of the algebraic problems that were first raised in combinatorial group theory but were unapproachable without geometric methods. We will survey groups acting on CAT(0) cube complexes with an eye towards these recent developments. |
16:00-16:45 | Francisco F. Lasheras, University of Seville, Dpto. Geometria
& Topologia, Apdo. 1160, 41080-Sevilla (Spain) Some open questions on properly 3-realizable groups. We recall that a finitely presented group is properly 3-realizable if it is the fundamental group of a finite 2-polyhedron whose universal cover has the proper homotopy type of a 3-manifold. We present a quick review of properly 3-realizabler groups and their relation to well-known conjectures and other properties for finitely presented groups such as semistability at infinity and the WGSC and QSF properties. |
17:00 - 17:45 | Mihai D. Staic, SUNY at Buffalo Lattice field theory and D-Groups. We introduce D-groups and show how they fit in the context of lattice field theory. To a manifold M we associate a D-group G(M). We define the symmetric cohomology HSn(G, A) of a group G with coefficients in a G-module A. The D-group G(M) is determined by the action of p1(M) on p2(M) and an element of HS3(p1(M), p2(M)). |
Thursday Aug 17 |
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10-11 |
Zlil Sela, Hebrew University |
11:15 12:15 | Jon McCammond, UC Santa Barbara The geometry of groups defined geometrically |
14:30-15:30 | Daniel Wise, McGill University Nonpositively Curved Cube Complexes in Geometric Group Theory |
15:45-16:45 |
Stephen Pride, University of Glasgow |
18:30 | Dinner |
Friday Aug 18 |
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10-11 |
Zlil Sela, Hebrew University |
11:15 12:15 | Jon McCammond, UC Santa Barbara The geometry of groups defined geometrically |
14:30-15:30 | Daniel Wise, McGill University Nonpositively Curved Cube Complexes in Geometric Group Theory |
16:00-16:45 | Bartosz Putrycz, Institute of Mathematics, University of
Gdansk Commutator subgroups of Hantzsche-Wendt groups. Let a generalized Hantzsche-Wendt (GHW) group be the fundamental group of a flat n-manifold with holonomy group Z2n-1. Let a Hantzsche-Wendt (HW) group be a GHW group of an orientable manifold (n has to be odd). We prove that for any HW group, with n > 3, its commutator subgroup and translation subgroup are equal, hence its abelianization is Z2n-1. We also give examples of GHW groups with the same property for all n > 4. All these groups are examples of torsion-free metabelian groups with abelianizations Z2k for k > 3. |
17:00-17:45 |
Nicholas Touikan, McGill University |
Saturday Aug 19 |
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9:30-10:30 |
Kanta Gupta, University of Manitoba |
11:00-11:45 |
Volker Diekert, Universität Stuttgart |
12:00-1:00 |
Andrzej Szczepanski, University of Gdansk, Poland |
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