
SCIENTIFIC PROGRAMS AND ACTIVTIES 

June 20, 2018  
August 1619, 2006

Wednesday Aug 16 

1011 
Zlil Sela, Hebrew University 
11:15 – 12:15 
Jon McCammond, UC Santa Barbara 
14:3015:30  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. 
16:0016:45  Francisco F. Lasheras, University of Seville, Dpto. Geometria
& Topologia, Apdo. 1160, 41080Sevilla (Spain) Some open questions on properly 3realizable groups. We recall that a finitely presented group is properly 3realizable if it is the fundamental group of a finite 2polyhedron whose universal cover has the proper homotopy type of a 3manifold. We present a quick review of properly 3realizabler groups and their relation to wellknown 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 DGroups. We introduce Dgroups and show how they fit in the context of lattice field theory. To a manifold M we associate a Dgroup G(M). We define the symmetric cohomology HSn(G, A) of a group G with coefficients in a Gmodule A. The Dgroup 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 

1011 
Zlil Sela, Hebrew University 
11:15 – 12:15  Jon McCammond, UC Santa Barbara The geometry of groups defined geometrically 
14:3015:30  Daniel Wise, McGill University Nonpositively Curved Cube Complexes in Geometric Group Theory 
15:4516:45 
Stephen Pride, University of Glasgow 
18:30  Dinner 
Friday Aug 18 

1011 
Zlil Sela, Hebrew University 
11:15 – 12:15  Jon McCammond, UC Santa Barbara The geometry of groups defined geometrically 
14:3015:30  Daniel Wise, McGill University Nonpositively Curved Cube Complexes in Geometric Group Theory 
16:0016:45  Bartosz Putrycz, Institute of Mathematics, University of
Gdansk Commutator subgroups of HantzscheWendt groups. Let a generalized HantzscheWendt (GHW) group be the fundamental group of a flat nmanifold with holonomy group Z2n1. Let a HantzscheWendt (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 Z2n1. We also give examples of GHW groups with the same property for all n > 4. All these groups are examples of torsionfree metabelian groups with abelianizations Z2k for k > 3. 
17:0017:45 
Nicholas Touikan, McGill University 
Saturday Aug 19 

9:3010:30 
Kanta Gupta, University of Manitoba 
11:0011:45 
Volker Diekert, Universität Stuttgart 
12:001:00 
Andrzej Szczepanski, University of Gdansk, Poland 
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