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Computing Green functions in small characteristics

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GRAW02 - Computational and algorithmic methods

Green functions for finite groups of Lie type were introduced by Deligne and Lusztig in the 1970's, using cohomological methods. The computation of these functions is a crucial step in the more general programme of determining the whole character tables of those groups. Despite of a long tradition of work on Green functions, there are still open cases for groups in small characteristic. We report on some recent progress, which essentially relies on a combination of Lusztig's theory of character sheaves and computer algebra methods.

This talk is part of the Isaac Newton Institute Seminar Series series.

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