**ODTÜ-B****Ý****LKENT
ALGEBRAIC GEOMETRY SEM****I****NAR**

**“Prismatic sets in topology and geometry”**

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by

**Bedia Akyar Moeller**

(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.

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**Date:** 26 March 2010 Friday

**Time:** 15:40

**Place:** Bilkent,
Mathematics Seminar Room SA-141

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**Tea and cookies will be served before the
talk.**