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University of Cambridge > Talks.cam > Junior Algebra/Logic/Number Theory seminar > Orbit closures in the enhanced nilpotent cone

## Orbit closures in the enhanced nilpotent coneAdd to your list(s) Download to your calendar using vCal - Pramod Achar (Louisiana State University and INI)
- Monday 23 February 2009, 16:00-17:00
- MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB.
If you have a question about this talk, please contact Anton Evseev. Let $\mathcal N$ denote the set of $n \times n$ nilpotent matrices. The ``enhanced nilpotent cone’’ is the space $\mathbb C^n \times \mathcal N$. $GL(n)$ acts on $\mathbb C^n$ in an obvious way, and on $\mathcal N$ by conjugation. The orbits of this action are the subject of this talk. From this surprisingly elementary starting point, I will discuss connections to various topics in representation theory, combinatorics, and algebraic geometry, and especially to Syu Kato’s work on the ``exotic nilpotent cone’’ and affine Hecke algebras. This is joint work with A. Henderson. This talk is part of the Junior Algebra/Logic/Number Theory seminar series. ## This talk is included in these lists:- All CMS events
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