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Fall 2017 MATH 70330 “Intermediate Geometry and Topology” Pavel Mnev Detailed Plan. I. Characteristic Classes. (A) Fiber/Vec
Fall 2017 MATH 70330 \Intermediate Geometry and Topology" Pavel Mnev Detailed plan. I. Characteristic classes. (a) Fiber/vector/principal bundles. Examples. Connections, curvature. Rie- mannian case. Ref: [MT97]. (b) (2 classes.) Stiefel-Whitney, Chern and Pontryagin classes { properties, axiomatic definition. Classifying map and classifying bundle. RP 1; CP 1, infinite Grassmanians Gr(n; 1), CW structure, cohomology ring (univer- sal characteristic classes). Characteristic classes as obstructions (e.g. for embeddability of projective spaces). Euler class. Also: Chern character, splitting principle, Chern roots. Also: BG for a finite group/Lie group, group cohomology. Ref: [MS74]; also: [BT82, Hat98, LM98, May99]. (c) Chern-Weil homomorphism. Example: Chern-Gauss-Bonnet formula. Chern- Simons forms. Ref: Appendix C in [MS74]; [AM05, Dup78, MT97]. (d) Equivariant cohomology. Borel model (homotopy quotient), algebraic ver- sion { Cartan and Weil models. Ref: [GS99, Mei06, Tu13]. II. Bits of symplectic geometry. (a) Symplectic linear algebra, Lagrangian Grassmanian, Maslov class. Ref: [BW97, Ran, MS17]. (b) Symplectic manifolds, Darboux theorem (proof via Moser's trick). Dis- tinguished submanifolds (isotropic, coisotropic, Lagrangian). Examples. Constructions of Lagrangians in T ∗M (graph, conormal bundle). Ref: [DS00]. (c) Hamiltonian group actions, moment maps, symplectic reduction. Ref: [Jef] (lectures 2{4,7), [DS00]. (d) (Optional) Convexity theorem (Atyiah-Guillemin-Sternberg) for the mo- ment map of a Hamiltonian torus action. Toric varieties as symplectic re- ductions, their moment polytopes, Delzant's theorem. Ref: [Pra99, Sch], Part XI in [DS00], lectures 5,6 in [Jef]. (e) Localization theorems: Duistermaat-Heckman and Atiyah-Bott. Ref: [Mei06, Tu13], [Jef] (lecture 10). (f) (Optional) Classical field theory via Lagrangian correspondences. -
Telomere Length Is Repeatable, Shortens with Age and Reproductive
University of Groningen Telomere length is repeatable, shortens with age and reproductive success, and predicts remaining lifespan in a long-lived seabird Bichet, Coraline; Bouwhuis, Sandra; Bauch, Christina; Verhulst, Simon; Becker, Peter H.; Vedder, Oscar Published in: Molecular Ecology DOI: 10.1111/mec.15331 IMPORTANT NOTE: You are advised to consult the publisher's version (publisher's PDF) if you wish to cite from it. Please check the document version below. Document Version Publisher's PDF, also known as Version of record Publication date: 2020 Link to publication in University of Groningen/UMCG research database Citation for published version (APA): Bichet, C., Bouwhuis, S., Bauch, C., Verhulst, S., Becker, P. H., & Vedder, O. (2020). Telomere length is repeatable, shortens with age and reproductive success, and predicts remaining lifespan in a long-lived seabird. Molecular Ecology, 29(2), 429-441. https://doi.org/10.1111/mec.15331 Copyright Other than for strictly personal use, it is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license (like Creative Commons). The publication may also be distributed here under the terms of Article 25fa of the Dutch Copyright Act, indicated by the “Taverne” license. More information can be found on the University of Groningen website: https://www.rug.nl/library/open-access/self-archiving-pure/taverne- amendment. Take-down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. -
Population Substructure, Local Density, and Calf Winter Survival in Red Deer (Cervus Elaphus)
Edinburgh Research Explorer Population substructure, local density, and calf winter survival in red deer (Cervus elaphus) Citation for published version: Coulson, T, Albon, S, Guinness, F, Pemberton, J & CluttonBrock, T 1997, 'Population substructure, local density, and calf winter survival in red deer (Cervus elaphus)', Ecology, vol. 78, no. 3, pp. 852-863. https://doi.org/10.1890/0012-9658(1997)078[0852:PSLDAC]2.0.CO;2 Digital Object Identifier (DOI): 10.1890/0012-9658(1997)078[0852:PSLDAC]2.0.CO;2 Link: Link to publication record in Edinburgh Research Explorer Document Version: Publisher's PDF, also known as Version of record Published In: Ecology Publisher Rights Statement: RoMEO green General rights Copyright for the publications made accessible via the Edinburgh Research Explorer is retained by the author(s) and / or other copyright owners and it is a condition of accessing these publications that users recognise and abide by the legal requirements associated with these rights. Take down policy The University of Edinburgh has made every reasonable effort to ensure that Edinburgh Research Explorer content complies with UK legislation. If you believe that the public display of this file breaches copyright please contact [email protected] providing details, and we will remove access to the work immediately and investigate your claim. Download date: 07. Oct. 2021 Population Substructure, Local Density, and Calf Winter Survival in Red Deer (Cervus Elaphus) Author(s): Tim Coulson, Steve Albon, Fiona Guinness, Josephine Pemberton and Tim Clutton- Brock Source: Ecology, Vol. 78, No. 3 (Apr., 1997), pp. 852-863 Published by: Ecological Society of America Stable URL: http://www.jstor.org/stable/2266064 . -
Science & Policy Meeting Jennifer Lippincott-Schwartz Science in The
SUMMER 2014 ISSUE 27 encounters page 9 Science in the desert EMBO | EMBL Anniversary Science & Policy Meeting pageS 2 – 3 ANNIVERSARY TH page 8 Interview Jennifer E M B O 50 Lippincott-Schwartz H ©NI Membership expansion EMBO News New funding for senior postdoctoral In perspective Georgina Ferry’s enlarges its membership into evolution, researchers. EMBO Advanced Fellowships book tells the story of the growth and ecology and neurosciences on the offer an additional two years of financial expansion of EMBO since 1964. occasion of its 50th anniversary. support to former and current EMBO Fellows. PAGES 4 – 6 PAGE 11 PAGES 16 www.embo.org HIGHLIGHTS FROM THE EMBO|EMBL ANNIVERSARY SCIENCE AND POLICY MEETING transmissible cancer: the Tasmanian devil facial Science meets policy and politics tumour disease and the canine transmissible venereal tumour. After a ceremony to unveil the 2014 marks the 50th anniversary of EMBO, the 45th anniversary of the ScienceTree (see box), an oak tree planted in soil European Molecular Biology Conference (EMBC), the organization of obtained from countries throughout the European member states who fund EMBO, and the 40th anniversary of the European Union to symbolize the importance of European integration, representatives from the govern- Molecular Biology Laboratory (EMBL). EMBO, EMBC, and EMBL recently ments of France, Luxembourg, Malta, Spain combined their efforts to put together a joint event at the EMBL Advanced and Switzerland took part in a panel discussion Training Centre in Heidelberg, Germany, on 2 and 3 July 2014. The moderated by Marja Makarow, Vice President for Research of the Academy of Finland. -
Resource Summer 2017
ISSUE 55 Summer 2017 resourc e The Newsletter of Scotland’s National Academy Image © Gary Doak Photography Our Patron, Her Majesty The Queen, visited the RSE in July to present the 2017 Royal Medals. Her Majesty is pictured with past and present recipients of RSE Royal Medals. (Details inside) Also featured in this issue: Wilfred Owen’s Edinburgh 1917 –2017 International Relations with Japan New CEO at the RSE resourc e Summer 2017 The Royal Visit 2017 We were highly honoured to welcome Her Majesty The Queen to the RSE on Friday 7 July 2017 to present this year’s Royal Medals. Her Majesty was greeted, at the door to 22 George Street, by The Rt Hon Lord Provost and Lord Lieutenant of the City of Edinburgh, Frank Ross. The RSE Royal Medals were instituted by Her Majesty in 2000, to mark the Millennium, and have been awarded since then with her express approval. These accolades are awarded for distinction and international repute in any of the following categories: Life Sciences; Physical and Engineering Sciences; Arts, Humanities and Social Sciences; Business and Commerce. Medals were awarded to: Professor Peter Boyle CorrFRSE FMEDSci (below left), President, International Prevention Research Institute and Director, the University of Strathclyde Institute of Global Public Health, for his outstanding contribution to global cancer control and public health policy; Professor Tessa Holyoake FRSE FMedSci, Director (below right), Paul O’Gorman Leukaemia Research Centre, University of Glasgow, for her outstanding contribution to the field of Life Sciences through her discovery of the existence of cancer stem cells in chronic myeloid leukaemia and her development of a new therapy for this condition; Mr Donald Runnicles OBE (above), Chief Conductor, BBC Scottish Symphony Orchestra, for his outstanding contribution to the art of music at the highest international level. -
General Methods for Evolutionary Quantitative Genetic Inference from Generalized Mixed Models
| INVESTIGATION General Methods for Evolutionary Quantitative Genetic Inference from Generalized Mixed Models Pierre de Villemereuil,* Holger Schielzeth,†,‡ Shinichi Nakagawa,§ and Michael Morrissey**,1 *Laboratoire d’Écologie Alpine, Centre National de la Recherche Scientifique Unité Mixte de Recherche 5553, Université Joseph Fourier, 38041 Grenoble Cedex 9, France, †Department of Evolutionary Biology, Bielefeld University, 33615 Bielefeld, Germany, ‡Institute of Ecology, Friedrich Schiller University, 07743 Jena, Germany, §Evolution and Ecology Research Centre, University of New South Wales, Sydney, New South Wales 2052, Australia, and **School of Evolutionary Biology, University of St. Andrews, St. Andrews KY16 9TH, United Kingdom ORCID IDs: 0000-0002-8791-6104 (P.d.V.); 0000-0002-9124-2261 (H.S.); 0000-0002-7765-5182 (S.N.); 0000-0001-6209-0177 (M.M.) ABSTRACT Methods for inference and interpretation of evolutionary quantitative genetic parameters, and for prediction of the response to selection, are best developed for traits with normal distributions. Many traits of evolutionary interest, including many life history and behavioral traits, have inherently nonnormal distributions. The generalized linear mixed model (GLMM) framework has become a widely used tool for estimating quantitative genetic parameters for nonnormal traits. However, whereas GLMMs provide inference on a statistically convenient latent scale, it is often desirable to express quantitative genetic parameters on the scale upon which traits are measured. The parameters of fitted GLMMs, despite being on a latent scale, fully determine all quantities of potential interest on the scale on which traits are expressed. We provide expressions for deriving each of such quantities, including population means, phenotypic (co)variances, variance components including additive genetic (co)variances, and parameters such as heritability. -
Survival, Natural Selection and Foraging Efficiency in Soay Sheep on St
Survival, Natural Selection and Foraging Efficiency in Soay Sheep on St. Kilda. JOCELYN MARGERY MILNER Submitted for the degree of Doctor of Philosophy of the University of London, January 1999. Institute of Zoology, The Zoological Society of London, Regent’s Park, London, NWl 4RY. & Department of Biology, University College London, Gower Street, London, WCIE 6BT. ProQuest Number: 10015690 All rights reserved INFORMATION TO ALL USERS The quality of this reproduction is dependent upon the quality of the copy submitted. In the unlikely event that the author did not send a complete manuscript and there are missing pages, these will be noted. Also, if material had to be removed, a note will indicate the deletion. uest. ProQuest 10015690 Published by ProQuest LLC(2016). Copyright of the Dissertation is held by the Author. All rights reserved. This work is protected against unauthorized copying under Title 17, United States Code. Microform Edition © ProQuest LLC. ProQuest LLC 789 East Eisenhower Parkway P.O. Box 1346 Ann Arbor, Ml 48106-1346 Survival, Natural Selection and Foraging Efficiency in Soay Sheep on St. Kilda. 4 Soay sheep grazing in the Village Bay study area on Hirta, St. Kilda, in March. Acknowledgements After the disappointment of having to abandon ‘PhD-take one’ due to civil war in Rwanda, in 1993/94, completing this thesis means a lot to me. I am therefore very grateful to all those who have given me a second chance, and helped me to achieve this personal goal. In particular, I would like to thank my small army of supervisors. They have been supportive and involved throughout, teaching me how to approach research and helping me focus on interesting ecological questions. -
Telomere Length Is Repeatable, Shortens with Age and Reproductive Success, and Predicts Remaining Lifespan in a Long-Lived Seabird
Received: 22 August 2019 | Revised: 13 November 2019 | Accepted: 2 December 2019 DOI: 10.1111/mec.15331 ORIGINAL ARTICLE Telomere length is repeatable, shortens with age and reproductive success, and predicts remaining lifespan in a long-lived seabird Coraline Bichet1 | Sandra Bouwhuis1 | Christina Bauch2 | Simon Verhulst2 | Peter H. Becker1 | Oscar Vedder1,2 1Institute of Avian Research, Wilhelmshaven, Germany Abstract 2Groningen Institute for Evolutionary Telomeres are protective caps at the end of chromosomes, and their length is posi- Life Sciences, University of Groningen, tively correlated with individual health and lifespan across taxa. Longitudinal studies Groningen, The Netherlands have provided mixed results regarding the within-individual repeatability of telomere Correspondence length. While some studies suggest telomere length to be highly dynamic and sensi- Coraline Bichet, Institute of Avian Research, Wilhelmshaven, Germany. tive to resource-demanding or stressful conditions, others suggest that between-in- Email: [email protected] dividual differences are mostly present from birth and relatively little affected by the Funding information later environment. This dichotomy could arise from differences between species, but Deutsche Forschungsgemeinschaft, also from methodological issues. In our study, we used the highly reliable Terminal Grant/Award Number: DFG, BE 916/8 & 9; Nederlandse Organisatie voor Restriction Fragment analysis method to measure telomeres over a 10-year period in Wetenschappelijk Onderzoek, Grant/ adults of a long-lived seabird, the common tern (Sterna hirundo). Telomeres shortened Award Number: 863.14.010; Alexander von Humboldt with age within individuals. The individual repeatability of age-dependent telomere length was high (>0.53), and independent of the measurement interval (i.e., one vs. -
An Invitation to Toric Topology: Vertex Four of a Remarkable Tetrahedron
An Invitation to Toric Topology: Vertex Four of a Remarkable Tetrahedron. Buchstaber, Victor M and Ray, Nigel 2008 MIMS EPrint: 2008.31 Manchester Institute for Mathematical Sciences School of Mathematics The University of Manchester Reports available from: http://eprints.maths.manchester.ac.uk/ And by contacting: The MIMS Secretary School of Mathematics The University of Manchester Manchester, M13 9PL, UK ISSN 1749-9097 Contemporary Mathematics An Invitation to Toric Topology: Vertex Four of a Remarkable Tetrahedron Victor M Buchstaber and Nigel Ray 1. An Invitation Motivation. Sometime around the turn of the recent millennium, those of us in Manchester and Moscow who had been collaborating since the mid-1990s began using the term toric topology to describe our widening interests in certain well-behaved actions of the torus. Little did we realise that, within seven years, a significant international conference would be planned with the subject as its theme, and delightful Japanese hospitality at its heart. When first asked to prepare this article, we fantasised about an authorita- tive and comprehensive survey; one that would lead readers carefully through the foothills above which the subject rises, and provide techniques for gaining sufficient height to glimpse its extensive mathematical vistas. All this, and more, would be illuminated by references to the wonderful Osaka lectures! Soon afterwards, however, reality took hold, and we began to appreciate that such a task could not be completed to our satisfaction within the timescale avail- able. Simultaneously, we understood that at least as valuable a service could be rendered to conference participants by an invitation to a wider mathematical au- dience - an invitation to savour the atmosphere and texture of the subject, to consider its geology and history in terms of selected examples and representative literature, to glimpse its exciting future through ongoing projects; and perhaps to locate favourite Osaka lectures within a novel conceptual framework. -
Smutty Alchemy
University of Calgary PRISM: University of Calgary's Digital Repository Graduate Studies The Vault: Electronic Theses and Dissertations 2021-01-18 Smutty Alchemy Smith, Mallory E. Land Smith, M. E. L. (2021). Smutty Alchemy (Unpublished doctoral thesis). University of Calgary, Calgary, AB. http://hdl.handle.net/1880/113019 doctoral thesis University of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission. Downloaded from PRISM: https://prism.ucalgary.ca UNIVERSITY OF CALGARY Smutty Alchemy by Mallory E. Land Smith A THESIS SUBMITTED TO THE FACULTY OF GRADUATE STUDIES IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY GRADUATE PROGRAM IN ENGLISH CALGARY, ALBERTA JANUARY, 2021 © Mallory E. Land Smith 2021 MELS ii Abstract Sina Queyras, in the essay “Lyric Conceptualism: A Manifesto in Progress,” describes the Lyric Conceptualist as a poet capable of recognizing the effects of disparate movements and employing a variety of lyric, conceptual, and language poetry techniques to continue to innovate in poetry without dismissing the work of other schools of poetic thought. Queyras sees the lyric conceptualist as an artistic curator who collects, modifies, selects, synthesizes, and adapts, to create verse that is both conceptual and accessible, using relevant materials and techniques from the past and present. This dissertation responds to Queyras’s idea with a collection of original poems in the lyric conceptualist mode, supported by a critical exegesis of that work. -
Margaret Dusa Mcduff Hon Dsc Warwick Oral Version
Margaret Dusa McDuff Hon DSc Warwick oral version Mr Vice Chancellor, Graduates, Graduands, Ladies and Gentlemen, We have with us today a mathematician whose work has opened a hugely fertile new branch of mathematics. She has brought symplectic geometry and topology to the attention of the mathematical world. Dusa McDuff is Professor of Mathematics at Barnard College in New York. Born in London, Dusa grew up in Edinburgh, where her father the influential biologist C.H. Waddington was Professor of Genetics. Dusa wanted to be a mathematician from an early age. She studied in Edinburgh then Cambridge. Her doctoral work was published in the top journal Annals of Mathematics and remains important today. Subsequently Dusa studied in Moscow with the great Russian mathematician Israel Gelfand. After various temporary posts, in 1976 she was appointed to a lectureship at Warwick. However in 1978 she moved to the State University of New York at Stony Brook. In 2007 she was appointed to the Kimmel chair at Barnard, sister college to Columbia University. Shortly after her move to the US, Dusa's research shifted towards symplectic geometry. This subject has its origins in mechanics and continues to be important in various branches of physics. In topology the objects are flabby, and in geometry they are rigid. Symplectic geometry sits in between. In the late 1970s symplectic geometry was beginning to develop in completely new directions, spurred by deep ideas introduced by Mikhail Gromov (one of the world's most creative living mathematicians). Over the years Dusa and her students have played a central role in developing this new field called symplectic topology. -
Performance of Marker-Based Relatedness Estimators in Natural Populations of Outbred Vertebrates
Genetics: Published Articles Ahead of Print, published on June 18, 2006 as 10.1534/genetics.106.057331 Performance of marker-based relatedness estimators in natural populations of outbred vertebrates Katalin Csilléry?, Toby Johnson?, Dario Beraldi?, Tim H. Clutton-Brocky Dave Coltmanz, Bengt Hanssonx, Goran Spongy, Josephine Pemberton? ?Institute of Evolutionary Biology, University of Edinburgh, Edinburgh, EH9 3JT, United King- dom yDepartment of Zoology, University of Cambridge, Cambridge, CB2 3EJ, United Kingdom zDepartment of Biological Sciences, University of Alberta, Edmonton, AB, T6G 2E9, Canada xDepartment of Animal Ecology, Lund University, 22362 Lund, Sweden 1 Running Head: Performance of relatedness estimators Keywords: Pairwise relatedness, Moment estimators, Pedigrees, Microsatellites, Long-term projects Corresponding author: Katalin Csilléry Institute of Evolutionary Biology The King's Buildings Ashworth Laboratories University of Edinburgh West Mains Road Edinburgh EH9 3JT United Kingdom Phone: +44 131 650 7334 Fax: +44 131 650 6564 Email: [email protected] 2 Abstract Knowledge of relatedness between pairs of individuals plays an important role in many research areas including evolutionary biology, quantitative genetics and conser- vation. Pairwise relatedness estimation methods based on genetic data from highly variable molecular markers are now extensively used as a substitute for pedigrees. Al- though the sampling variance of the estimators have been intensively studied for for the most common simple genetic relationships, such as unrelated, half- and full-sib or parent-offspring, little attention has been paid to the average performance of the esti- mators, by which we mean the performance across all pairs of individuals in a sample. Here we apply two measures to quantify the average performance, first, misclassifica- tion rates between pairs of genetic relationships and, second, the proportion of vari- ance explained in the pairwise relatedness estimates by the true population relatedness composition (i.e.