Localized operations on T-equivariant oriented cohomology of projective homogeneous varieties Kirill Zaynullin, University of Ottawa Host: Ed Richmond Contact Roger Zierau for zoom link
Abstract: In the present talk, we address the problem of computing cohomological operations on algebraic oriented cohomology of projective homogeneous G-varieties, where G is a split reductive algebraic group.
The idea is to extend such operations to the respective T-equivariant (T is a maximal split torus of G) oriented theories and then compute them using equivariant Schubert calculus techniques.
This generalizes an approach suggested by Garibaldi-Petrov-Semenov for Steenrod operations. As an application, we provide a Riemann-Roch-type formula for the Hecke action on oriented theories of additive type.
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