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SUMMARY:Joakim Arnlind (Linköping University)
DTSTART:20210310T200000Z
DTEND:20210310T210000Z
DTSTAMP:20260420T052850Z
UID:NYC-NCG/43
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/43/"
 >Curvature for a class of noncommutative minimal surfaces</a>\nby Joakim A
 rnlind (Linköping University) as part of Noncommutative geometry in NYC\n
 \n\nAbstract\nThe theory of minimal surfaces is an old and still quite act
 ive field\nof research\, and it is natural to ask if there exists a corres
 ponding\ntheory in noncommutative geometry? In particular\, analogues of m
 inimal\nsubmanifolds appear in physical theories related to quantum gravit
 y\n(string/membrane theory). I will present an approach to noncommutative\
 nminimal surfaces taking an equational point of view (rather than a\nvaria
 tional one). After providing some background material leading to\nour defi
 nition of noncommutative minimal surfaces\, I will discuss a\nframework fo
 r constructing Levi-Civita connections and curvature of\nsuch surfaces. Th
 ese considerations naturally lead to a general\ndiscussion of metric conne
 ctions on hermitian modules.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/43/
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