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Thursday, December 19, 2013

Noncommutative Surfaces

Jens Hoppe (Stockholm)

Abstract: Many aspects of the differential geometry of embedded Riemannianmanifolds, including curvature, can be formulated in terms ofmulti-linear algebraic structures on the space of smooth functions.For matrix analogues of embedded surfaces, one can define discretecurvature, and a noncommutative Gauss-Bonnet theorem.After giving a general introduction to the Poisson-algebraicreformulation for surfaces, as well as explaining a method to associatesequences of finite dimensional matrices to them, I will focuson concrete examples, including noncommutative analoguesof minimal surfaces ( that play a central role in one of themore promising attempts to unify the known physical interactions ).

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Location :  Room 611 of the Hans Freudenthal building, formerly known as the Wiskunde/Maths building, (campus De Uithof) Budapestlaan 6, Utrecht.
Date and time : Thursday, December 19, 2013 15:30-16:30. The lecture is preceded by coffee, tea, and cookies from 15.00 to 15.30 hour in the same room.