Curvature and combinatorics
UC Santa Barbara
refreshments at 3:45pm
Geometric group theorists and geometric combinatorialists have
long studied the same types of objects with the same types of tools --
most importantly for this talk posets, their order complexes and the
topology of the results. In recent years geometric group theorists have
also started putting metrics on these complexes and using the curvature
and geometry which result in order to investigate their structure. In
this talk I will briefly introduce the notions of a Gromov hyperbolic
group and a non-positively curved group and report on some results
connecting these concepts to the combinatorics of posets. Finally, if
time permits I will also comment about where this line of research seems
to be heading.
Speaker's Contact Info: jon.mccammond(at-sign)math.ucsb.edu
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