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PRODID:-//Memento EPFL//
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SUMMARY:Simplicial manifolds with small valence
DTSTART:20150605T141500
DTEND:20150605T153000
DTSTAMP:20260408T132935Z
UID:9968765a75fdad232495c8a70cecd0e87da1688feb0714a8f173d951
CATEGORIES:Conferences - Seminars
DESCRIPTION:Florian Frick (TU Berlin)\nWe will investigate combinatorial r
 estrictions on manifold triangulations that have an interpretation in term
 s of sectional curvature: the valence of a face of codimension two is the 
 number of facets it is contained in. We give a topological as well as a co
 mbinatorial classification of triangulations that are positively curved in
  the sense that they have small valence. We simplify the proof of a result
  of Brady\, McCammond\, and Meier that any closed and orientable 3-manifol
 d has a triangulation with valence at most six and improve a result of Coo
 per and Thurston on the number of combinatorial types of vertex links need
 ed to triangulate any closed orientable 3-manifold\, which was independent
 ly observed by Kevin Walker. We will remark on applications to physics and
  chemistry\, in particular\, to crystallographic periodic foams. This is j
 oint work with Frank Lutz and John M. Sullivan.
LOCATION:CO 121
STATUS:CONFIRMED
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