| Thu, Nov 12, 2026
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Combinatorial and Commutative Algebra Seminar 4:00 PM MSCS 514 | | Shifted lower Bruhat intervals are EL-shellable Ed Richmond, OSU
| | | Abstract: The Bruhat partial order on a Coxeter group plays an important role in representation theory of Lie groups and the geometry of their associated Schubert varieties. In this talk, we will look at intervals in Bruhat order and study how their poset structure changes under a shift by some group element. It turns out, for lower intervals, the shifted poset structure remains graded with a unique maximal and minimal element. Moreover, the shifted poset is EL-shellable. Geometrically, these shifted poset structures correspond to imposing a "shifted" BB-filtration on a Schubert variety. Much of this work was done as part of the 2026 honors summer math camp hosted at Texas State University and is joint with Dave, Feng, Lesnevich, Oh, Wang and Wu. |
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