Park City Mathematics Institute
Algebraic Geometry
Project Abstract
Undergraduate Summer School course, Algebraic Geometry: Flag Varieties and Representations
Author: Ben Hyman
 
The goal of this étude is to link together a number of topics which receive short stint in the typical high school curriculum. You'll draw connections between the seemingly disparate subjects of complex numbers, matrices, and rotations of points and objects in the plane. Essential prior knowledge comprises only trigonometry on the coordinate plane, familiarity with geometric transformations, and elementary algebra skills. The first three sections can be completed in any order. Enough summary: let's dive right in.
 
download file etude-ben_hyman_rotation_in_r2.pdf [generic login required]

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This material is based upon work supported by the National Science Foundation under DMS-0940733 and DMS-1441467. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.