Events
Department of Mathematics and Statistics
Texas Tech University
Many open problems in the classification of varieties will be described, particularly in relation to the relatively new field of Lipschitz Geometry. The goal is to get natural finite classifications for varieties in a fixed number of variables and fixed degree. (A variety is just the set of solutions of a finite system of polynomial equations.) Along the way, some famous theorems will be described.
Starting from an introductory perspective with a presentation of the background behind the problem, we use explicit parametrizations of discrete constant negative Gaussian curvature surfaces (negative CGC) of revolution, i.e. discrete pseudospherical surfaces of revolution, for creating associated families and Bäcklund transformations. This provides new explicit parametrizations of non-rotational discrete pseudospherical surfaces.
This presentation may be viewed in the TTU Mediasite catalog via eraider login.
In my last talk, I will briefly review the Cartan calculus and examine how differential forms work on Lie groups. We will see how left-invariant constructions in differential geometry give rise to well-known constructions on Lie groups such as the Chevalley-Eilenberg algebra and the universal enveloping algebra. If time permits, we will discuss nonabelian integration and the nonabelian fundamental theorem of calculus.  | Thursday
Feb. 20
6:30 PM
MA 108
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| Mathematics Education
Math Circle
Aaron Tyrrell
Mathematics and Statistics, Texas Tech University
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Math Circle Spring Poster
abstract noon CST (UT-6)
Zoom link available from Dr. Brent Lindquist upon request.