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MATH 4800 |
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Fall 2010 courseTopic: To A_D_E and Beyond; Dynkin Diagram and Classification ProblemsInstructor: Aaron Bertram Catalog Number: MATH 4800-1 Credits: 3 Time:MW 4:00-5:15 PM, LCB 215 Tuition Benefit: The NSF VIGRE program provides a $500 tuition benefit for undergraduates who are US citizens, nationals, and permanent residents. Description: An extraordinary variety of objects in mathematics are classified by Dynkin diagrams....Euclid's platonic solids, reflection groups, Lie algebras, Kleinian singularities (aka "catastrophes"), and more. Understanding what it is that connects all these is a topic of current research in mathematics. Our task in this course will be to explore as many of these things as possible, starting from scratch, and to amaze ourselves with the ubiquity of the Dynkin diagrams. Prerequisites: This course is intended for Mathematics Majors who have completed Math 3210-20 and want to work in depth on a topic that is of contemporary interest and which might lead to a research project. Past Courses: Fall 2006, Math Finance Spring 2007, Fractals Fall 2007, Metric Spaces, The Contraction Mapping Principle, Fractals & Other Applications Spring 2008, Knot Theory Fall 2008, Random Walk: Modeling, Theory, and Applications Spring 2009, Graph Theory Fall 2009, Metamaterials Spring 2010, Symetry&Groups |
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