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Graduate Student Number Theory Learning Seminar

Continued Fractions in the Heisenberg Group

Alice Mark - Rutgers University

Location:  Hill 423
Date & time: Wednesday, 13 February 2019 at 11:00AM - 12:00PM

Abstract: This is a talk about Lukyanenko & Vandehey's paper on continued fractions on the Heisenberg group. Why do this? The Heisenberg group is a natural place to look for higher dimensional analogues to classical continued fractions because in much the same way that the real or complex numbers plus a point at infinity are the boundaries of 2- and 3-dimensional real hyperbolic space, the 3-dimensional Heisenberg group plus a point at infinity is the boundary of the complex hyperbolic plane.