7,341 research outputs found
William K. Schubert M.D.
No full textThis oral history may be streamed from the Winkler Center websiteWilliam K. Schubert M.D. interviewed by Clark D. West and Herbert C. Flessa, June 26, 1991. This video was a part of the Oral History of Medicine in Cincinnati series
Schubert polynomials and -Schur functions (Extended abstract)
No full textThe main purpose of this paper is to show that the multiplication of a Schubert polynomial of finite type by a Schur function can be understood from the multiplication in the space of dual -Schur functions. Using earlier work by the second author, we encode both problems by means of quasisymmetric functions. On the Schubert vs. Schur side, we study the -Bruhat order given by Bergeron-Sottile, along with certain operators associated to this order. On the other side, we connect this poset with a graph on dual -Schur functions given by studying the affine grassmannian order of Lam-Lapointe-Morse-Shimozono. Also, we define operators associated to the graph on dual -Schur functions which are analogous to the ones given for the Schubert vs. Schur problem.Le but principal de cet article est de montrer que la multiplication d’un polynôme de Schubert de type fini par une fonction de Schur peut être comprise à partir de la multiplication dans l’espace dual des fonctions -Schur. Les travaux antérieurs par le second auteur, nous permet de coder ces deux problèmes au moyen de fonctions quasi-symétriques. Du côté Schubert vs Schur, nous étudions l’ordre partiel -Bruhat donné par Bergeron-Sottile, ainsi que certains opérateurs associés à cet ordre. Nous donnons une relation entre l’ordre -Bruhat et le graphe de Bruhat sur les fonctions -Schur duales données par l’étude de l’ordre affine grassmannienne de Lam-Lapointe-Morse-Shimozono. En outre, nous définissons des opérateurs associés a ce graphe qui sont analogues à ceux donnés pour le problème Schubert vs Schur
Prime ideals in the quantum grassmanian
No full textWe consider quantum Schubert cells in the quantum grassmannian and give a cell decomposition of the prime spectrum via the Schubert cells. As a consequence, we show that all primes are completely prime in the generic case where the deformation parameter q is not a root of unity. There is a natural torus action of H = (k*)(n) on the quantum grassmannian O-q(G(m,n)(k)) and the cell decomposition of the set of H-primes leads to a parameterisation of the H-spectrum via certain diagrams on partitions associated to the Schubert cells. Interestingly, the same parameterisation occurs for the nonnegative cells in recent studies concerning the totally nonnegative grassmannian. Finally, we use the cell decomposition to establish that the quantum grassmannian satisfies normal separation and catenarity
Kinetic energy release and position of transition state during the intramolecular substitution of ionized 2-benzoyl pyridines
No full textSchubert R, Grützmacher H-F. Kinetic energy release and position of transition state during the intramolecular substitution of ionized 2-benzoyl pyridines. Organic Mass Spectrometry. 1980;15(3):122-130
Schubert Eisenstein series and Poisson summation for Schubert varieties
No full textThe first author and Bump defined Schubert Eisenstein series by restricting the summation in a degenerate Eisenstein series to a particular Schubert variety. In the case of over they proved that these Schubert Eisenstein series have meromorphic continuations in all parameters and conjectured the same is true in general. We revisit their conjecture and relate it to the program of Braverman, Kazhdan, Lafforgue, Ngô, and Sakellaridis aimed at establishing generalizations of the Poisson summation formula. We prove the Poisson summation formula for certain schemes closely related to Schubert varieties and use it to refine and establish the conjecture of the first author and Bump in many cases.Accepted by the American Journal of Mathematics. Final versio
Author reply to Hettiarachchi et al. (re Helicobacter pylori resistance in Australia…)
No full textLetter to the EditorJonathon P. Schubert, Paul R. Ingram, Morgyn S. Warner, Christopher K. Rayner, Ian C. Roberts-Thomson, Samuel P. Costello and Robert V. Bryan
Lehre am Puls der Zeit - Global Health in der medizinischen Ausbildung: Positionen, Lernziele und methodische Empfehlungen
No full textBozorgmehr K, Last K, Müller A, Schubert K. Lehre am Puls der Zeit - Global Health in der medizinischen Ausbildung: Positionen, Lernziele und methodische Empfehlungen. GMS Zeitschrift für medizinische Ausbildung . 2009;26(2): Doc20
Growth, Environment and Uncertain Future Preferences
No full textThe attitude of future generations towards environmental assets may well be different from ours, and it is necessary to take into account this possibility explicitly in the current debate about environmental policy. The question we are addressing here is: should uncertainty about future preferences lead to a more conservative attitude towards environment? Previous literature shows that it is the case when society expects that on average future preferences will be more in favor of environment than ours, but this result relies heavily on the assumption of a separability between consumption and environmental quality in the utility function. We show that things are less simple when preferences are non-separable: the attitude of the society now depends not only on the expectation of the change in preferences but also on the characteristics of the economy (impatience, intertemporal flexibility, natural capacities of regeneration of the environment, relative preference for the environment), on its history (initial level of the environmental quality) and on the date at which preferences are expected to change (near or far future).Growth ; Environment ; Preferences ; Uncertainty c ° 2002 Kluwer Academic Publishers. Printed in the Netherlands.
K-theoretic Schubert calculus and applications
No full textA central result in algebraic combinatorics is the Littlewood-Richardson rule that governs products in the cohomology of Grassmannians. A major theme of the modern Schubert calculus is to extend this rule and its associated combinatorics to richer cohomology theories.
This thesis focuses on K-theoretic Schubert calculus. We prove the first Littlewood-Richardson rule in torus-equivariant K-theory. We thereby deduce the conjectural rule of H. Thomas and A. Yong, as well as a mild correction to the conjectural rule of A. Knutson and R. Vakil. Our rule manifests the positivity established geometrically by D. Anderson, S. Griffeth and E. Miller, and moreover in a stronger 'squarefree' form that resolves an issue raised by A. Knutson. Our work is based on the combinatorics of genomic tableaux, which we introduce, and a generalization of M.-P. Schuetzenberger's jeu de taquin. We further apply genomic tableaux to obtain new rules in non-equivariant K-theory for Grassmannians and maximal orthogonal Grassmannians, as well as to make various conjectures relating to Lagrangian Grassmannians. This is joint work with Alexander Yong.
Our theory of genomic tableaux is a semistandard analogue of the increasing tableau theory initiated by H. Thomas and A. Yong. These increasing tableaux carry a natural lift of M.-P. Schuetzenberger's promotion operator. We study the orbit structure of this action, generalizing a result of D. White by establishing an instance of the cyclic sieving phenomenon of V. Reiner, D. Stanton and D. White. In joint work with J. Bloom and D. Saracino, we prove a homomesy conjecture of J. Propp and T. Roby for promotion on standard tableaux, which partially generalizes to increasing tableaux. In joint work with K. Dilks and J. Striker, we relate the action of K-promotion on increasing tableaux to the rowmotion operator on plane partitions, yielding progress on a conjecture of P. Cameron and D. Fon-der-Flaass. Building on this relation between increasing tableaux and plane partitions, we apply the K-theoretic jeu de taquin of H. Thomas and A. Yong to give, in joint work with Z. Hamaker, R. Patrias and N. Williams, the first bijective proof of a 1983 theorem of R. Proctor, namely that that plane partitions of height k in a rectangle are equinumerous with plane partitions of height k in a trapezoid.Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2016-11-09 without embargo termsThe student, Oliver Pechenik, accepted the attached license on 2016-06-30 at 13:14.The student, Oliver Pechenik, submitted this Dissertation for approval on 2016-06-30 at 13:27.This Dissertation was approved for publication on 2016-07-06 at 16:18.DSpace SAF Submission Ingestion Package generated from Vireo submission #9732 on 2016-11-09 at 10:22:07Made available in DSpace on 2016-11-10T17:49:59Z (GMT). No. of bitstreams: 3
PECHENIK-DISSERTATION-2016.pdf: 5509452 bytes, checksum: b3e3f2455c7d552167bb216742173183 (MD5)
LICENSE.txt: 4212 bytes, checksum: 3168a8c82a3b2f11bedc40b8d8828555 (MD5)
PROQUEST_LICENSE.txt: 4558 bytes, checksum: f2dfc11f526c2158172c56fe9685dc8f (MD5)
Previous issue date: 2016-07-0
- …
