GAAG seminar - Anatomy of Big Algebras

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Event details

Date 20.02.2025
Hour 13:1515:00
Speaker Tamas Hausel (ISTA)
Location
Category Conferences - Seminars
Event Language English
In the first part we will introduce the idea of big algebras in a colloquium-style. We will discuss various appearances of spectra across physics and mathematics.
 
In the second part we discuss big algebras, which are maximal commutative subalgebras of the Kirillov algebra attached to irreducible representations of a complex semisimple Lie group. In this talk we will visualize the anatomy of big algebras, in terms of skeletons and nerves. We show that it encodes sophisticated information of the representation, such as a ring structure on multiplicity spaces, the weight diagram and the crystal structure.

Practical information

  • Informed public
  • Free

Contact

  • Laetitia Al-Sulaymaniyin

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