Character levels and character bounds

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• Pham Tiep (Rutgers)
• Wednesday 04 March 2020, 16:30-17:30
• MR12.

If you have a question about this talk, please contact Christopher Brookes.

We develop the concept of character level for the complex irreducible characters of finite, general or special, linear and unitary groups. We give characterizations of the level of a character in terms of its Lusztig label and in terms of its degree. We also characterize the level of the character in terms of certain dual pairs and prove explicit exponential character bounds for the character values, provided that the level is not too large. Some applications of these results will be discussed. This is joint work with R. Guralnick and M. Larsen.

This talk is part of the Algebra and Representation Theory Seminar series.

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