Prof. Solotar's seminar at SISSA

[Emanuele Tuillier Illingworth]

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  MATHEMATICAL PHYSICS SECTOR SEMINARS
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Professor Andrea Solotar
(Universidad de Buenos Aires, Argentina)


"Representation theory and homology of Yang-Mills algebras"

Abstract:  This is a joint work with Estanislao Herscovich.

Yang-Mills algebras have been defined by Alain Connes and Michel
Dubois-Violette in connection to some problems arising from string
theory and noncommutative quantum field theory.

Although it is possible to describe in a simple way every irreducible
finite dimensional representation, the task of characterizing the
complete category of representations of a Yang-Mills algebra is rather
difficult.

The aim of this talk is threefold.

In the first place, I will recall the general definitions and the main
properties of these algebras.

Then, I will focus on exhibiting certain families of representations
fine enough to separate elements of the Yang-Mills algebras.

Finally, I shall also present several computations in relation to
homological properties for these algebras, in particular, the
Hochschild and Cyclic homology.



Tue. 26 October at 11:00 in lecture room 136 (I floor, SISSA Santorio 
Building)