# Seminars & Colloquia Calendar

Graduate Student Number Theory Learning Seminar

## Mobius Transformations and the Bends and Centers of Generalized Circles, Spheres, and Hyperspheres

#### Edna Jones, Rutgers

Location:  Via Zoom, email Brooke at: bl481@math.rutgers.edu for login information.
Date & time: Wednesday, 07 October 2020 at 1:30PM - 2:30PM

Abstract: We know from complex analysis that Mobius transformations map generalized circles to generalized circles. However, given a generalized circle $$C$$ and a Mobius transformation $$f$$, can we easily compute the radius and the center of the generalized circle $$f(C)$$? Can we do a similar thing with generalized spheres and Mobius transformations in higher dimensions? The answer for both of these questions is yes. To show this, we will use inversive coordinates and Clifford algebras.

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