Highest weight categories in the modular representation theory of Lie algebras

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• Matthew Westaway (University of Birmingham)
• Tuesday 05 October 2021, 15:00-16:00
• Lecture Theatre C, Watson Building.

If you have a question about this talk, please contact Gareth Tracey.

Highest weight categories are ubiquitous in Lie theoretic representation theory. They are of particular importance in the study of representations of Lie algebras in characteristic zero, and of algebraic groups in all characteristics. For Lie algebras in positive characteristic, however, the story is more complicated. The ideas of highest weight theory are still present, but a slightly different framework is needed to capture all their nuances. This talk will explain this in more detail, utilising ideas from a 2018 paper of Brundan and Stroppel. The work is joint with Simon Goodwin.

This talk is part of the Algebra Seminar series.

This talk is included in these lists:

• Algebra Seminar
• Lecture Theatre C, Watson Building
• School of Mathematics Events

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