Pure Maths Colloquium: Spectral analysis on graph-like spaces
7 November 2011 16:00 in CM221
A graph-like space is a space which is constructed according to a combinatorial graph, as for example a combinatorial graph itself, or a topological graph, or a small neighbourhood of a graph embedded in R^2. On all these examples, one can define a Laplace operator.
In the talk, we are going to give an overview, presenting e.g. the concept of quantum graphs, graph-like manifolds and the relation of the corresponding Laplacians. Quantum graphs are often considered to lie in between a combinatorial graph and a manifold: they have a rich topological structure, but are still accessible to computations, and therefore serve in many aspects as test objects.
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