Tesis sobre el tema "Cohomology of condensed groups"
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Artusa, Marco. "Sur des théorèmes de dualité pour la cohomologie condensée du groupe de Weil d'un corps p-adique". Electronic Thesis or Diss., Bordeaux, 2024. http://www.theses.fr/2024BORD0228.
Texto completoThe goal of this thesis is twofold. First, we build a topological cohomology theory for the Weil group of p-adic fields. Secondly, we use this theory to prove duality theorems for such fields, which manifest as Pontryagin duality between locally compact abelian groups. These results improve existing duality theorems and give them a topological flavour. Condensed Mathematics allow us to reach these objectives, providing a framework where it is possible to do algebra with topological objects. We define and study a cohomology theory for condensed groups and pro-condensed groups, and we apply it to the Weil group of a p-adic field, considered as a pro-condensed group. The resulting cohomology groups are proved to be locally compact abelian groups of finite ranks in some special cases. This allows us to enlarge the local Tate duality to a more general category of non-necessarily discrete coefficients, where it takes the form of a Pontryagin duality between locally compact abelian groups. In the last part of the thesis, we use the same framework to recover a Weil-version of the Tate duality with coefficients in abelian varieties and more generally in 1-motives, expressing those dualities as perfect pairings between condensed abelian groups. To do this, we associate to every algebraic group, resp. 1-motive, a condensed abelian group, resp. a complex of condensed abelian groups, with an action of the (pro-condensed) Weil group. We call this association the condensed Weil-´etale realisation. We show the existence of a condensed Poincar´e pairing for abelian varieties and we prove a condensed-Weil version of the Tate duality with coefficients in abelian varieties, which improves the correspondent result of Karpuk. Lastly, we exhibit a condensed Poincar´e pairing for 1-motives. We show that this pairing is compatible with the weight filtration and we prove a duality theorem with coefficients in 1-motives, which improves a result of Harari-Szamuely
Watson, Toni Aliza. "Twisted cohomology groups". College Park, Md. : University of Maryland, 2006. http://hdl.handle.net/1903/3929.
Texto completoThesis research directed by: Dept. of Mathematics. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
Česnavičius, Kęstutis. "Selmer groups as flat cohomology groups". Thesis, Massachusetts Institute of Technology, 2014. http://hdl.handle.net/1721.1/90180.
Texto completoCataloged from PDF version of thesis.
Includes bibliographical references (pages 44-46).
Given a prime number p, Bloch and Kato showed how the p Selmer group of an abelian variety A over a number field K is determined by the p-adic Tate module. In general, the pm1-Selmer group Selpmn A need not be determined by the mod pm Galois representation A[pm]; we show, however, that this is the case if p is large enough. More precisely, we exhibit a finite explicit set of rational primes E depending on K and A, such that Selpm A is determined by A[pm] for all ... In the course of the argument we describe the flat cohomology group ... of the ring of integers of K with coefficients in the pm- torsion A[pm] of the Neron model of A by local conditions for p V E, compare them with the local conditions defining Selm 2A, and prove that A[p't ] itself is determined by A[pm] for such p. Our method sharpens the relationship between Selpm A and ... which was observed by Mazur and continues to work for other isogenies 0 between abelian varieties over global fields provided that deg o is constrained appropriately. To illustrate it, we exhibit resulting explicit rank predictions for the elliptic curve 11A1 over certain families of number fields. Standard glueing techniques developed in the course of the proofs have applications to finite flat group schemes over global bases, permitting us to transfer many of the known local results to the global setting.
by Kęstutis Česnavičius.
Ph. D.
Clark, Jonathan Owen. "Cohomology of some finite groups". Thesis, University of Oxford, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.240535.
Texto completoEastridge, Samuel Vance. "First l^2-Cohomology Groups". Thesis, Virginia Tech, 2015. http://hdl.handle.net/10919/52952.
Texto completoMaster of Science
QUADRELLI, CLAUDIO. "Cohomology of Absolute Galois Groups". Doctoral thesis, Università degli Studi di Milano-Bicocca, 2014. http://hdl.handle.net/10281/56993.
Texto completoLeary, Ian James. "The cohomology of certain finite groups". Thesis, University of Cambridge, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.386114.
Texto completoKim, Yunhyong. "Smooth cochain cohomology of loop groups". Thesis, University of Cambridge, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.621575.
Texto completoFoster-Greenwood, Briana A. "Hochschild Cohomology and Complex Reflection Groups". Thesis, University of North Texas, 2012. https://digital.library.unt.edu/ark:/67531/metadc149591/.
Texto completoAnwar, Muhammad F. "Representations and cohomology of algebraic groups". Thesis, University of York, 2011. http://etheses.whiterose.ac.uk/2032/.
Texto completoUsher, Andrew Edward Ronald. "Cluster points and cohomology for abelian groups". Thesis, Queen Mary, University of London, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.397960.
Texto completoRizkallah, John. "Bounding cohomology for low rank algebraic groups". Thesis, University of Cambridge, 2017. https://www.repository.cam.ac.uk/handle/1810/267214.
Texto completoEastridge, Samuel Vance. "First Cohomology of Some Infinitely Generated Groups". Diss., Virginia Tech, 2017. http://hdl.handle.net/10919/77517.
Texto completoPh. D.
Chen, Yu Qing. "Farrell cohomology of automorphism groups of free groups of finite rank /". The Ohio State University, 1997. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487947908404206.
Texto completoGreen, David John. "On the cohomology of certain finite simple groups". Thesis, University of Cambridge, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.239184.
Texto completoHutchinson, Samuel M. A. "The Morava cohomology of finite general linear groups". Thesis, University of Sheffield, 2017. http://etheses.whiterose.ac.uk/20464/.
Texto completoHaller, Sergei. "Computing Galois cohomology and forms of linear algebraic groups". Giessen Giessener Elektronische Bibliothek, 2005. http://geb.uni-giessen.de/geb/volltexte/2005/2474/index.html.
Texto completoLafferty, Matthew J. "Eichler-Shimura cohomology groups and the Iwasawa main conjecture". Thesis, The University of Arizona, 2015. http://pqdtopen.proquest.com/#viewpdf?dispub=3702136.
Texto completoOhta has given a detailed study of the ordinary part of p-adic Eichler-Shimura cohomology groups (resp., generalized p-adic Eichler-Shimura cohomology groups) from the perspective of p-adic Hodge theory. Assuming various hypotheses, he is able to use the structure of these groups to give a simple proof of the Iwasawa main conjecture over Q. The goal of this thesis is to extend Ohta’s arguments with a view towards removing these hypotheses.
Xu, Mingzhi. "On Cohomology Groups of Global Units in Zdp-Extensions /". The Ohio State University, 1995. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487864986611668.
Texto completoLafferty, Matthew John. "Eichler-Shimura Cohomology Groups and the Iwasawa Main Conjecture". Diss., The University of Arizona, 2015. http://hdl.handle.net/10150/556816.
Texto completoHamilton, Martin. "Finiteness conditions in group cohomology". Thesis, Connect to e-thesis, 2008. http://theses.gla.ac.uk/182/.
Texto completoPh.D. thesis submitted to the Faculty of Information and Mathematical Sciences, University of Glasgow, 2008. Includes bibliographical references. Print version also available.
Edmundo, Mario Jorge. "O-minimal expansions of groups". Thesis, University of Oxford, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.312447.
Texto completoGuillot, Pierre. "Representations and Cohomology of Groups -- Topics in algebra and topology". Habilitation à diriger des recherches, Université de Strasbourg, 2012. http://tel.archives-ouvertes.fr/tel-00732874.
Texto completoClarke, Nicholas. "Cohomology of groups with coefficients in a non-trivial module". Thesis, University of Manchester, 2016. https://www.research.manchester.ac.uk/portal/en/theses/cohomology-of-groups-with-coefficients-in-a-nontrivial-module(497ed9be-bac2-4b73-9fd1-f4f21bf5b610).html.
Texto completoReeder, Mark Stephen. "The Steinberg module and the top cohomology of arithmetic groups /". The Ohio State University, 1988. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487587604133071.
Texto completoGriffin, James Thomas. "Automorphisms of free products of groups". Thesis, University of Cambridge, 2013. https://www.repository.cam.ac.uk/handle/1810/244265.
Texto completoLiedtke, Christian. "On fundamental groups of Galois closures of generic projections". Bonn : Mathematisches Institut der Universität, 2004. http://catalog.hathitrust.org/api/volumes/oclc/62768237.html.
Texto completoCha, Byungchul. "Vanishing of some cohomology groups and bounds for the Shafarevich-Tate groups of elliptic curves". Available to US Hopkins community, 2003. http://wwwlib.umi.com/dissertations/dlnow/3080634.
Texto completoOzel, Cenap. "On the complex cobordism of flag varieties associated to loop groups". Thesis, University of Glasgow, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.241783.
Texto completoCheng, Jian-Jun. "Restrictions of invariants of reflections and dirac cohomology /". View abstract or full-text, 2004. http://library.ust.hk/cgi/db/thesis.pl?MATH%202004%20CHENG.
Texto completoSantacruz, Camilo Andres Angulo. "A cohomology theory for Lie 2-algebras and Lie 2-groups". Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-15022019-084657/.
Texto completoNesta tese, nós introduzimos uma nova teoria de cohomologia associada às 2-álgebras de Lie e uma nova teoria de cohomologia associada aos 2-grupos de Lie. Prova-se que estas teorias de cohomologia estendem as teorias de cohomologia clássicas de álgebras de Lie e grupos de Lie em que os seus segundos grupos classificam extensões. Finalmente, usaremos estos fatos junto com um morfismo de van Est adaptado para encontrar uma nova prova da integrabilidade das 2-álgebras de Lie.
Callegaro, Filippo. "Cohomology of finite and affine type Artin groups over Abelian representation /". Pisa, Italy : Edizioni della normale, 2009. http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=017728632&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA.
Texto completoKatayama, Shin-ichi. "A Theorem on the Cohomology of Groups and some Arithmetical Applications". 京都大学 (Kyoto University), 1985. http://hdl.handle.net/2433/86360.
Texto completoCallegaro, Filippo. "Cohomology of finite and affine type Artin groups over abelian representations". Doctoral thesis, Scuola Normale Superiore, 2007. http://hdl.handle.net/11384/85685.
Texto completoJoecken, Kyle. "Dimension of Virtually Cyclic Classifying Spaces for Certain Geometric Groups". The Ohio State University, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=osu1374085871.
Texto completoGrieder, Ralph. "On the symplectic classes in the cohomology of the mapping class groups /". [S.l.] : [s.n.], 1996. http://e-collection.ethbib.ethz.ch/show?type=diss&nr=11677.
Texto completoWeber, Patrick. "Cohomology groups on hypercomplex manifolds and Seiberg-Witten equations on Riemannian foliations". Doctoral thesis, Universite Libre de Bruxelles, 2017. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/252914.
Texto completoDoctorat en Sciences
info:eu-repo/semantics/nonPublished
馮淑貞 y Suk-ching Fung. "Asymptotic vanishing theorem of cohomology groups on compact quotientsof the unit ball". Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1998. http://hub.hku.hk/bib/B31220848.
Texto completoKumon, Asuka. "On derivatives of L-series, p-adic cohomology and ray class groups". Thesis, King's College London (University of London), 2017. https://kclpure.kcl.ac.uk/portal/en/theses/on-derivatives-of-lseries-padic-cohomology-and-ray-class-groups(1ec486f7-f9aa-45c2-a245-976d4dd9d10f).html.
Texto completoAndo, Matthew. "Operations in complex-oriented cohomology theories related to subgroups of formal groups". Thesis, Massachusetts Institute of Technology, 1992. http://hdl.handle.net/1721.1/13230.
Texto completoMelo, Heather Aurora Florence de. "Totally real Galois representations in characteristic 2 and arithmetic cohomology /". Diss., CLICK HERE for online access, 2005. http://contentdm.lib.byu.edu/ETD/image/etd1048.pdf.
Texto completoTERRAGNI, TOMMASO. "Hecke algebras associated to coxeter groups". Doctoral thesis, Università degli Studi di Milano-Bicocca, 2012. http://hdl.handle.net/10281/29634.
Texto completoSato, Takashi. "The T-equivariant Integral Cohomology Ring of F4/T". 京都大学 (Kyoto University), 2015. http://hdl.handle.net/2433/199076.
Texto completoDeshpande, D. V. "Topological methods in algebraic geometry : cohomology rings, algebraic cobordism and higher Chow groups". Thesis, University of Cambridge, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.598515.
Texto completoNave, Lee Stewart. "The cohomology of finite subgroups of Morava stabilizer groups and Smith-Toda complexes /". Thesis, Connect to this title online; UW restricted, 1999. http://hdl.handle.net/1773/5803.
Texto completoFung, Suk-ching. "Asymptotic vanishing theorem of cohomology groups on compact quotients of the unit ball /". Hong Kong : University of Hong Kong, 1998. http://sunzi.lib.hku.hk/hkuto/record.jsp?B20667991.
Texto completoFukumoto, Yoshiyasu. "On the Strong Novikov Conjecture of Locally Compact Groups for Low Degree Cohomology Classes". Kyoto University, 2016. http://hdl.handle.net/2433/217729.
Texto completoGandhi, Raj. "Oriented Cohomology Rings of the Semisimple Linear Algebraic Groups of Ranks 1 and 2". Thesis, Université d'Ottawa / University of Ottawa, 2021. http://hdl.handle.net/10393/42566.
Texto completoLond, Daniel. "On Reductive Subgroups of Algebraic Groups and a Question of Külshammer". Thesis, University of Canterbury. Mathematics and Statistics, 2013. http://hdl.handle.net/10092/8033.
Texto completoMierach, Svea Nora Verfasser] y Christoph [Akademischer Betreuer] [Schweigert. "Hochschild cohomology, modular tensor categories and mapping class groups / Svea Nora Mierach ; Betreuer: Christoph Schweigert". Hamburg : Staats- und Universitätsbibliothek Hamburg, 2020. http://d-nb.info/1216998140/34.
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