Structure and Representations of Real Reductive Lie Groups: A Computational Approach
Interactive Parallel Computation in Support of Research in Algebra, Geometry and Number Theory
January 29,2007 11:30 AM to 12:30 PM
Speakers:
Noel, Alfred
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Abstract: |
I work with David Vogan (MIT) on the Atlas of Lie Groups and Representations. This is a project to make available information about representations of semi-simple Lie groups over real and p-adic fields. Of particular importance is the problem of the unitary dual: classifying all of the irreducible unitary representations of a given Lie group.
I will present some of the main ideas behind the current and very preliminary version of the software. I will provide some examples also. Currently, we are developing sequential algorithms that are implemented in C++. However, because of time and space complexity we are slowly moving in the direction of parallel computation. For example, David Vogan is experimenting with multi-threads in the K-L polynomials computation module.
This talk is in memory of Fokko du Cloux, the French mathematician who, until a few months ago, was the lead developer. He died this past November. |
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