[Turkmath:5612] Feza Gursey Center for Physics and Mathematics-Higher Structures Seminars [no.9][05.10.2022]::Juan Orendain (UNAM)
kazimilhan.ikeda
kazimilhan.ikeda at boun.edu.tr
Mon May 9 10:08:05 UTC 2022
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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