March 21, 2007 (Download PDF)
Volume 51 – Number 22 Wednesday – March 21, 2007 TechTalk S ERVING T HE M I T C OMMUNITY Team maps huge math structure Writing the character table for E8 brought international happiness Elizabeth Thomson ly spells the future for how longstanding math Underlying any symmetrical object, such as a News Office problems will be solved in the 21st century. sphere, is a Lie group. Balls, cylinders or cones MIT’s David Vogan, a professor in the are familiar examples of symmetric three-dimen- Department of Mathematics and member of sional objects. An international team of 18 mathematicians, the research team, presented the work Mon- Mathematicians study symmetries in higher including two from MIT, has mapped one of the day, March 19 to a standing-room-only crowd in dimensions. E8 has 248 dimensions. largest and most complicated structures in math- Room 1-190. His talk, “The Character Table for “What’s attractive about studying E8 is that it’s ematics. If written out on paper, the calculation E8, or How We Wrote Down a 453,060 x 453,060 as complicated as symmetry can get. Mathemat- describing this structure, known as E8, would Matrix and Found Happiness,” was peppered ics can almost always offer another example that’s cover an area the size of Manhattan. with jokes and laughter. harder than the one you’re looking at now, but for The work is important because it could lead E8, (pronounced “E eight”) is an example Lie groups E8 is the hardest one,” Vogan said. to new discoveries in mathematics, physics and of a Lie (pronounced “Lee”) group.
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