Algebraic Groups and Root Systems
Interested in meeting your fellow graduate students and learning about their research? We are restarting for 2026 the informal colloquium for graduate HDR students to share interesting topics they’ve come across during their studies.
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Description
Abstract: Semi-simple Lie algebras, connected quivers, finite reflection groups and so forth. Root systems arise in the classification of quite an array of mathematical objects. In this talk we will take a look at the classification of algebraic groups, more specifically reductive linear algebraic groups over algebraically closed fields, via root systems. In particular we will look at how to associate a root system to a connected linear algebraic group, and conversely, how to construct a reductive algebraic group from a given root datum.
Location
Rm 1.33 Hanna Neumann Building #145
Upcoming events in this series
Interested in meeting your fellow graduate students and learning about their research? Join us at the informal colloquium for graduate HDR students to hear about interesting topics they’ve come across during their studies.