Topology of surfaces

Monday, December 7, 2009 - 1:30pm - 2:10pm
Reinhard Lipowsky (Max Planck Institute for Colloids and Interfaces)
Keywords: Wetting phenomena, surface domains, surface topography,
contact line pinning, fluid membranes, vesicles, intrinsic contact angles

Abstract: Two types of wetting phenomena will be discussed: (i) Morphological wetting
transitions at chemically patterned or topographically structured substrates; and
(ii) Wetting of flexible membranes such as lipid bilayers by aqueous phases.
Morphological wetting transitions between different droplet shapes occur, e.g., as one
Tuesday, September 19, 2006 - 1:40pm - 2:30pm
Bernard Mourrain (Institut National de Recherche en Informatique Automatique (INRIA))
We described algorithms for computing the topology of real algebraic
implicit curves and surfaces in dimension 3, based on projections
techniques, starting with the algorithm for implicit planar curves.
Then we consider curves in dimension 3. Next we describe an algorithm
for computing the topology of a general real algebraic surface S. The
approach is based on tools from stratification theory and the
construction of an explicit Whitney stratification of S.
We show how these methods can be turned into effective
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