Dear all,
we are happy to invite you to the next session for the SIJIMat (Seminari Interdisciplinari per a Joves Investigadors en Matemàtiques):
Gauge theories in groupoids

? Alfonso Garmendia (Centre de Recerca Matemàtica - CRM)
? 18/04/2024
? 12h
?Aula Petita CRM / ? via ZOOM
? After the seminar, pizza will be offered to participants of the Seminar

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ABSTRACT

Principal bundles are a essential objets in gauge theories. A basic example of a principal bundle is the frames (or pointwise ordered basis) of a vector bundle on a manifold. Using this principal bundle one can relate geometric connections, reduction and different structures on the underlying manifold.

In this talk, we first give some introduction for principal bundles and in particular the frame bundle. Then some introduction of Lie groupoids and finish with an exploration of properties of some special principal bundle. This is the set of special frames on the tangent vector bundle TG, where G is not only a manifold, but the space of arrows of a Lie groupoid.


SPEAKER

Alfonso Garmendia
postdoctoral researcher at Centre de Recerca Matemàtica (CRM)
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FROM 202.120.11.*