7 papers
An equivariant quantum Pieri rule for the Grassmannian on cylindric shapes
Anna Bertiger, Dorian Ehrlich, Elizabeth Milićević +1
The quantum cohomology ring of the Grassmannian is determined by the quantum Pieri rule for multiplying by Schubert classes indexed by row or column-shaped partitions. We provide a…
An affine approach to Peterson comparison
Linda Chen, Elizabeth Milićević, Jennifer Morse
The Peterson comparison formula proved by Woodward relates the three-pointed Gromov-Witten invariants for the quantum cohomology of partial flag varieties to those for the complete…
Affine Deligne-Lusztig varieties and folded galleries governed by chimneys
Elizabeth Milićević, Petra Schwer, Anne Thomas
We characterize the nonemptiness and dimension problems for an affine Deligne-Lusztig variety in the affine flag variety in terms of galleries that are positively folded w…
A gallery model for affine flag varieties via chimney retractions
Elizabeth Milićević, Yusra Naqvi, Petra Schwer +1
This paper provides a unified combinatorial framework to study orbits in certain affine flag varieties via the associated Bruhat-Tits buildings. We first formulate, for arbitrary a…
Generic Newton points and the Newton poset in Iwahori double cosets
Elizabeth Milićević, Eva Viehmann
We consider the Newton stratification on Iwahori double cosets in the loop group of a reductive group. We describe a group-theoretic condition on the generic Newton point, called c…
Applying Parabolic Peterson: Affine Algebras and the Quantum Cohomology of the Grassmannian
Tessa Cookmeyer, Elizabeth Milićević
The Peterson isomorphism relates the homology of the affine Grassmannian to the quantum cohomology of any flag variety. In the case of a partial flag, Peterson's map is only a surj…