[seminar] A. Pachol, 4.7. (srijeda) 14h (c.t.), seminar ZTF-a
Anđelo Samsarov
Andjelo.Samsarov at irb.hr
Fri Jun 22 21:27:58 CEST 2018
SEMINAR TEORIJSKE FIZIKE
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Noncommutative digital geometry: introduction and applications
Anna Pachol
Queen Mary, University of London,
School of Mathematics, London, UK
Datum: srijeda, 4. srpnja 2018.
Vrijeme: 14 sati c.t.
Mjesto: IRB, predavaona I krila
Sažetak:
Noncommutative geometry, as the generalised notion of geometry,
allows us to model the quantum gravity effects in an effective
description without full knowledge of quantum gravity itself. On a
curved space one must use the methods of Riemannian geometry – but in
their quantum version, including quantum differentials, quantum
metrics and quantum connections –constituting quantum geometry. The
mathematical framework behind it is the noncommutative differential
graded algebra. After presenting the motivation and the general
framework, I will discuss some recent results on the classiffication
of noncommutative differential geometries, over the finite field F_2
(instead that of C), in n=2,3 and 4 dimensions.
Already in 3-dimensional cases some of the possible geometries have
non zero quantum curvature, which we regard as a purely quantum
phenomenon. The choice of the finite field leads to a new kind of
'discretisation scheme', which we called the 'digital geometry'.
The talk will be based on "Classification of digital affine
noncommutative geometries" J. Math. Phys. 59, 033505 (2018)
[arXiv:1701.06919] by S. Majid, A. Pachol.
Voditelj seminara: Anđelo Samsarov (asamsarov at irb.hr)
http://thphys.irb.hr/Seminar/list.htm
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