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University of Sydney Algebra Seminar

Daniele Celoria

Friday 19 May, 12-1pm, Place: Carslaw 173

Überhomology of simplicial complexes

We introduce überhomology, a combinatorially defined homology theory for simplicial complexes. After proving some of its properties, we'll show how a specialisation is related to connected domination in graphs. We'll conclude by proving that a part of these groups can be described it in terms of the Mayer-Vietoris spectral sequence. This is partly a joint work with C.Caputi and C.Collari.