This file can be used to add scheduled events to your calendar, however every program is unique. Below you will find what information is available, but if nothing else works try creating a new calendar in your program and using
http://math.colorado.edu/seminars/ics/dlng.ics
as the source.
Thunderbird
This Lecture Series is funded by an endowment given by Professor Ira M. DeLong. For more information, please view the main page.
Mathematicians use groups to capture the idea of symmetry, and manifolds to describe the shapes of spaces—from the surface of the Earth to models of the universe. In this talk, I will show how drawing and visualizing groups can reveal surprising information about the shape of a space. Through pictures, examples, and geometric intuition, we will see how symmetry can constrain and sometimes completely determine the global structure of a manifold. The talk is designed to be accessible to students and non-experts.
Scalar curvature plays a fundamental role in geometry and in general relativity. Motivated by this connection, Misha Gromov proposed a striking rigidity conjecture: for a convex polyhedron, one cannot simultaneously increase the scalar curvature of a Riemannian metric and the mean curvature of its faces while decreasing the dihedral angles. This rigidity principle has deep consequences, including implications for the positive mass theorem in general relativity. In this talk, I will introduce Gromov’s conjecture and explain the ideas behind its proof using Dirac operators. This is joint work with Jinmin Wang and Zhizhang Xie. I will make an effort to keep the talk accessible to graduate students and non-experts.
