[Turkmath:5606] Feza Gursey Center for Physics and Mathematics-Higher Structures Seminars [no.9][05.10.2022]::Juan Orendain (UNAM)

[kazimilhan.ikeda]

Dear all,

We would like to announce that Juan Orendain (Universidad Nacional 
Autonoma de Mexico-UNAM)
will give a talk in the "Higher Structures Webinars" of Feza Gürsey 
Center for Physics and
Mathematics.

TITLE: "Higher lattice gauge fields and cubical \omega-groupoids"
ABSTRACT: Gauge fields describe parallel transport of point particles 
along curves, with respect to connections on principal bundles. This 
data is captured as a smooth functor from the smooth path groupoid of 
the base manifold into the delooping groupoid of the structure group, 
plus gluing data. Lattice gauge fields do this for discretized versions 
of a base manifold. A lattice gauge field is thus a functor from a 
discrete version of the path groupoid to a delooping groupoid. Lattice 
gauge fields are meant to serve as discrete approximations of regular 
gauge fields.

Higher gauge fields describe parallel transport of curves along 
surfaces, of surfaces along volumes, etc. Several versions of 
2-dimensional gauge field have appeared in the literature. I will 
explain how to extend these ideas to lattice gauge fields on all 
dimensions, using Brown's cubical homotopy \omega-groupoid construction 
associated to filtered spaces, implementing a discrete notion of thin 
homotopy along the way.

DATE & TIME: Tuesday, May 10, 2022, 19:00 Istanbul local time (NOTE THE 
SEMINAR TIME!).

PLACE: Zoom

Zoom link details:

Kazim Ilhan Ikeda is inviting you to a scheduled Zoom meeting.
Time:  May 10, 2022 at 19:00 Istanbul local time

Join Zoom Meeting
https://boun-edu-tr.zoom.us/j/95058514113?pwd=SlF4aW4zSEk4d3RsYXczS3dNbldiUT09

Meeting ID: 950 5851 4113
Passcode: 299521
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