On the K-theoretic fundamental classes of Deligne-Lusztig varieties

In this paper we express the class of the structure sheaves of the closures of Deligne--Lusztig varieties as explicit double Grothendieck polynomials in the first Chern classes of appropriate line bundles on the ambient flag variety. This is achieved by viewing such closures as degeneracy loci of morphisms of vector bundles.Comment: 8 pages, minor change

Response to John Carman

John Carman concluded his essay with request for further information about conversations between Hindu pandits and the Christian missionaries supervising their translations. I would like to respond with some information about Arumuga Navalar\u27s side of the dialogue that developed with Peter Percival while working with him on the Tentative Version of the Tamil Bible from 1841 to 1848. The information comes from Navalar\u27s Tamil booklet, The Abolition of the Abuse of Saivism (Caivatusanaparikaram), published in Jaffna in 1854. Navalar intended the booklet to be used by Saivas as an intellectual aid in their opposition tot he aggressive attacks on Saivism by Protestant missionaries. I doubt that Navalar thought of Percival as such a missionary, but he did use sophisticated arguments and readings of the Bible that he must have developed during the years of translation. They represent, I think, evidence of a dialogue that probably took place with Percival over those years, at least within Navalar\u27s mind. I have no evidence of actual conversations. I will select only a few items from a longer study I have made of the booklet

Attitude Change in Student Teachers and Its Relationship to Cooperating Teachers’ Ratings of Student Teachers

The purpose of the study was to investigate changes in student teachers\u27 attitudes occurring during student teaching. Specifically, the concern was to determine the relationship of these changes to the influence of the cooperating teachers\u27 attitudes

Multi-region relaxed magnetohydrodynamics with anisotropy and flow

We present an extension of the multi-region relaxed magnetohydrodynamics (MRxMHD) equilibrium model that includes pressure anisotropy and general plasma flows. This anisotropic extension to our previous isotropic model is motivated by Sun and Finn's model of relaxed anisotropic magnetohydrodynamic equilibria. We prove that as the number of plasma regions becomes infinite, our anisotropic extension of MRxMHD reduces to anisotropic ideal MHD with flow. The continuously nested flux surface limit of our MRxMHD model is the first variational principle for anisotropic plasma equilibria with general flow fields.Comment: 11 pages, 2 figures. arXiv admin note: text overlap with arXiv:1401.307