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SUMMARY:Joakim Arnlind (Linköping University)
DTSTART:20231011T190000Z
DTEND:20231011T200000Z
DTSTAMP:20260420T053409Z
UID:NYC-NCG/138
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/138/
 ">Noncommutative Riemannian Geometry of Kronecker Algebras</a>\nby Joakim 
 Arnlind (Linköping University) as part of Noncommutative geometry in NYC\
 n\n\nAbstract\nDifferential calculus in noncommutative geometry come in se
 veral different flavors\, and one of the more concrete versions goes by th
 e name of derivation based differential calculus. This calculus is built f
 rom a disinguished Lie algebra of derivations\, and lead to the formulatio
 n of differential forms\, cohomology and connections. A fundamental questi
 on in noncommutative Riemannian geometry is the existence and uniqueness o
 f a torsion free and metric compatible connection\; i.e a Levi-Civita conn
 ection. For the moment\, there are no general results addressing this ques
 tion in this context\, and I will present a case study based on a simple q
 uiver path algebra\, and show how the existence of a Levi-Civita connectio
 n depend on the choice of a Lie algebra of derivations.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/138/
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