by
(Dokuz Eylül University)
Abstract:
We study prismatic
sets analogously to simplicial sets except that
realization involves prisms. In particular, I will mention the examples; the
prismatic subdivision of a simplicial set S and the
prismatic star of S. Both have the same homotopy type
as S. Moreover, I will give the role of prismatic sets in lattice gauge theory,
that is, for a Lie group G and a set of parallel transport functions defining
the transition over faces of the simplices, we define
a classifying map from the prismatic star to a prismatic version of the
classifying space of G. In turn this defines a G-bundle over the prismatic
star. This is a joint work with Johan L. Dupont.
Date: 26 March 2010 Friday
Time: 15:40
Place: Bilkent,
Mathematics Seminar Room SA-141
Tea and cookies will be served before the
talk.