7,807 research outputs found
Lagrangian Geometry Towards Type AxC Schubert Calculus
No full text59 pagesKnutson and Zinn-Justin gave a geometric explanation of the Knutson-Tao puzzle rule for computing Schubert calculus of certain partial flag varieties in type A . The geometry is based on Lagrangian correspondences between Nakajima quiver varieties. We extend Knutson and Zinn-Justin's construction to triple products of Nakajima quiver varieties. By defining a compatible Z/2Z action on our quiver varieties, we furthermore construct Lagrangian correspondences between cotangent bundles of Grassmannians and symplectic Grassmannians. This is the first, and hardest, step towards a puzzle rule for computing the product of symplectic Grassmannian Schubert classes by Grassmannian Schubert classes
[Affidavit In Any Fact by Warren Allen Reynolds, March 16, 1964 #1]
No full textStatement by Warren Allen Reynolds concerning a man, identified by the author as Lee Harvey Oswald, running up Jefferson Street from Tenth Street
[Affidavit In Any Fact by Warren Allen Reynolds, March 16, 1964 #2]
No full textStatement by Warren Allen Reynolds concerning a man, identified by the author as Lee Harvey Oswald, running up Jefferson Street from Tenth Street
Darina Allen
No full textDarina Allen is owner of Ballymaloe Cookery School in Shanagarry, Co Cork, Ireland, which is situated on an organically run farm. She is a celebrated teacher, food writer, newspaper columnist for the Irish Examiner, cookbook author and television presenter
Toric surfaces with Kazhdan-Lusztig atlases
No full textA Kazhdan-Lusztig atlas, introduced by He, Knutson and Lu, on a stratified variety (V,Y) is a way of modeling the stratification Y of V locally using the stratification of Kazhdan-Lusztig varieties. We are interested in classifying smooth toric surfaces with Kazhdan-Lusztig atlases. This involves finding a degeneration of V to a union of Richardson varieties in the flag variety H/B_H of some Kac-Moody group H. We determine which toric surfaces have a chance at having a Kazhdan-Lusztig atlas by looking at their moment polytopes, then describe a way to find a suitable group H. More precisely, we find that (up to equivalence) there are 19 or 20 broken toric surfaces admitting simply-laced atlases, and that there are at most 7543 broken toric surfaces where H is any Kac-Moody group
The author, Ida Allen, recounts some of her life in Maine\u27s woods. She was born
No full textThe author, Ida Allen, recounts some of her life in Maine\u27s woods. She was born in a Moxie Gorge log camp in the 1910s, and she remembers how the river drivers and lumbermen got logs from Lake Moxie over Moxie Falls ( the Niagara of the north ) through Moosehead Lake to the company mills. Details
Letter to the Editor from the author, and response from Edgar Allen Beem, on Bee
No full textLetter to the Editor from the author, and response from Edgar Allen Beem, on Beem\u27s book review of Maine: An Explorer\u27s Guide and his comparison of it to Maine Handbook
Growth Diagrams from Polygons in the Affine Grassmannian
No full textWe introduce growth diagrams arising from the geometry of the affine Grassmannian for . These affine growth diagrams are in bijection with the many components of the polygon space Poly() for a sequence of minuscule weights and the Littlewood--Richardson coefficient. Unlike Fomin growth diagrams, they are infinite periodic on a staircase shape, and each vertex is labeled by a dominant weight of . Letting go to infinity, a dominant weight can be viewed as a pair of partitions, and we recover the RSK correspondence and Fomin growth diagrams within affine growth diagrams. The main combinatorial tool used in the proofs is the -hive of Knutson--Tao--Woodward. The local growth rule satisfied by the diagrams previously appeared in van Leeuwen's work on Littelmann paths, so our results can be viewed as a geometric interpretation of this combinatorial rule. Similar diagrams appeared in the work of Speyer on osculating flags
Tropical ginsberg: the resonance of Allen Ginsberg on the Tropicália
No full textDissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Comunicação e Expressão, Programa de Pós-graduação em Letras/Inglês e Literatura Correspondente, Florianópolis, 2010Through a dialogical relation between poems and song lyrics, and the socio-political contexts which surrounded these texts, this research discusses the resonance that North American poet, Allen Ginsberg, had over the Brazilian musical movement, the Tropicália. The corpora are the poems "Howl" (1956), "America" (1956), "Supermarket in California" (1955), "Sunflower Sutra" (1955), "Song" (1954), and "Wild Orphan" (1952), written by Allen Ginsberg, and the songs "Batmacumba" (1968), composed by Caetano Veloso, and Gilberto Gil, "Baby" (1968), composed by Caetano Veloso, "Geléia Geral" (1968), composed by Gilberto Gil and Torquato Neto, "Alegria, Alegria" (1967), composed by Caetano Veloso, and "Domingo no Parque" (1967), composed by Gilberto Gil. The main theoretical and critical parameters of this research include: Mikhail Bakhtin and his reflections on intertextuality; James J. Farrell, who believes that the American counterculture began with the Beats; Claudio Willer, who stresses the importance of Allen Ginsberg to the Beat movement, as well as to the birth of the American counterculture; Christopher Dunn, who emphasizes the historical, social, and political relevance of the Tropicália; and Celso Favaretto, who discusses in depth the complexity of most of the Tropicália songs. Based on such parameters, this research suggests that the life and work of Allen Ginsberg had great resonance over the creation of the Tropicália.Através de uma relação dialógica entre poesia e letras de música e o contexto sócio-político que circundava tais textos, este estudo discute a ressonância que o poeta Norte Americano, Allen Ginsberg, teve sobre o movimento musical Brasileiro, a Tropicália. A corpora são os poemas "Howl" (1956), "America" (1956), "Supermarket in California" (1955), "Sunflower Sutra" (1955), "Song" (1954), e "Wild Orphan" (1952), escritos por Allen Ginsberg, e as músicas "Batmacumba" (1968), composta por Caetano Veloso, e Gilberto Gil, "Baby" (1968), composta por Caetano Veloso, "Geléia Geral" (1968), composta por Gilberto Gil e Torquato Neto, "Alegria, Alegria" (1967), composta por Caetano Veloso, e "Domingo no Parque" (1967), composta por Gilberto Gil. Os principais parâmetros teóricos e críticos desta pesquisa incluem: Mikhail Bakhtin e suas reflexões sobre intertextualidade; James J. Farrell, que acredita que a contracultura Americana começou com os Beats; também em Claudio Willer, que salienta a importância de Allen Ginsberg no movimento Beat e no nascimento da contracultura Americana; Christopher Dunn, que enfatiza a relevância histórica, social e política da Tropicália; e Celso Favaretto, que discute em profundidade a complexidade da grande maioria das músicas da Tropicália. Baseando-se em tais parâmetros identificados, esta dissertação sugere que a vida e obra de Allen Ginsberg tiveram grande ressonância sobre a criação da Tropicália
Subword complexes in Coxeter groups
No full textAbstractLet (Π,Σ) be a Coxeter system. An ordered list of elements in Σ and an element in Π determine a subword complex, as introduced in Knutson and Miller (Ann. of Math. (2) (2003), to appear). Subword complexes are demonstrated here to be homeomorphic to balls or spheres, and their Hilbert series are shown to reflect combinatorial properties of reduced expressions in Coxeter groups. Two formulae for double Grothendieck polynomials, one of which appeared in Fomin and Kirillov (Proceedings of the Sixth Conference in Formal Power Series and Algebraic Combinatorics, DIMACS, 1994, pp. 183–190), are recovered in the context of simplicial topology for subword complexes. Some open questions related to subword complexes are presented
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