Conformal geometry has had a strong influence on both complex analysis and Riemannian geometry, notably in the uniformization of surfaces and later its generalization to the Yamabe problem. Thurston proposed a way of considering conformal geometry through transformations of circle packings, which led to a more concrete way of understanding both the Riemann mapping theorem and uniformization of surfaces. We will look at the underpinnings of this version of "discrete conformal geometry" and look at its relationship with the study of surfaces and three-manifolds. We will also hint at some of its relationships to computer graphics, image analysis, lattice gravity, and finite element/finite volume methods.
David Glickenstein is a candidate for a tenure track position in the math department. Tea and snacks will be served in Kidder 368 at 12:30.