The traditional definition of curvature for a surface (due to Gauss) requires at least a little calculus. In this talk we'll use the shapes of triangles on a few favorite surfaces to formulate a more accessible notion of curvature. We'll then examine some consequences of non-positive curvature in this setting.
Richard Scott received his Ph.D. from MIT in 1993. After holding postdoctoral positions at the Institute for Advanced Study in Princeton and the Ohio State University, he came to Santa Clara University in 1997. His research interest is in the topology of nonpositive curved spaces and the topology of algebraic varieties. He is currently a Councilor for the Council of Undergraduate Research, a national organization that promotes funding and programs for student/faculty research at undergraduate institutions.
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