Seminar
| Parent Program: | -- |
|---|---|
| Location: | SLMath: Eisenbud Auditorium |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
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Secondary Mathematics Subject Classification
No Secondary AMS MSC
The Gelfand-Tsetlin subalgebra S of U(gl_n) is an important structure in Lie theory which remains underexploited decades after its discovery. Viewing U(gl_n) as a Coulomb branch gives a surprising new perspective on this algebra which is strongly adapted to S and sheds considerable insight on the Gelfand-Tsetlin modules over gl_n, those in which S acts locally finitely (for example, allowing us to classify the simple modules for the first time). On the other hand, techniques developed to study G-T modules can be profitably applied to other Coulomb branches.
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