Praise Adeyemo

• B.Sc, M.Sc, Ph.D
• Lecturer at University of Ibadan

Billey and Braden defined a geometric pattern map on flag manifolds which extends the generalized pattern map of Billey and Postnikov on Weyl groups. The interaction of this torus equivariant map with the Bruhat order and its action on line bundles leads to formulas for its pullback on the equivariant cohomology ring and on equivariant K-theory. Th...

Billey and Braden defined maps on flag manifolds that are the geometric counterpart of permutation patterns. A section of their pattern map is an embedding of the flag manifold of a Levi subgroup into the full flag manifold. We give two expressions for the induced map on cohomology. One is in terms of generators and the other is in terms of the Sch...