[APCTP-IBSCGP Seminar] Geodesics and Noncommutative Surfaces
* SPEAKERS
Name
Affiliation
E-mail
Jens Hoppe
Royal Institute of Technology
hoppe(at)phys.ethz.ch
* HOST(Applicant)
Name
Affiliation
E-mail
Eunjeong Lee
* DATE / TIME
2015-10-19, 16:00 – 18:00, CGP Main Hall, IBS, POSTECH
* ABSTRACT
Many aspects of the differential geometry of embedded Riemannian manifolds, including curvature, can be formulated in terms of multi-linear algebraic structures on the space of smooth functions. For matrix analogues of embedded surfaces, I will define discrete curvature, and a noncommutative Gauss-Bonnet theorem. After giving a general introduction to the Poisson-algebraic reformulation for surfaces, as well as explaining a method to associate sequences of finite dimensional matrices to them, I will focus on examples, including noncommutative analogues of minimal surfaces ( that play a central role in one of the promising attempts to unify the known physical interactions ).
I will begin/end my talk with a historical survey of geodesics on ellipsoids.
