Volkmar Welker: The Garland Method revisited
(ongoing work with Eric Babson)
Time: Mon 2020-05-18 15.30
Lecturer: Volkmar Welker, Philipps-Universität Marburg
Location: Zoom, registration required
In the early 1970s Garland introduced a method to deduce the vanishing of homology groups of simplicial complexes with real coefficients through estimates on the smallest non-zero Eigenvalue of the "upper" Laplacian of the chain complexes of links. Later the method was refined and made more explicit in work of Zuk and Ballmann & Swiatkowski.
In this talk I present a conceptual version of the method phrased in the language of homological algebra. I demonstrate how the original "Garland method" fits this setting and exhibit further applications.
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