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Motivic Homotopy Theory

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dc.contributor.advisor Levine, Marc en_US
dc.contributor.author SHANBHAG, ARPITH en_US
dc.date.accessioned 2018-05-14T03:34:59Z
dc.date.available 2018-05-14T03:34:59Z
dc.date.issued 2018-05 en_US
dc.identifier.uri http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/970
dc.description 59 pages, No figures, no tables, submited to IISER, Pune en_US
dc.description.abstract The objective of this thesis is the study of Motivic homotopy theory and Voevodsky’s construction of triangulated category of motives. We will construct a model category called the motivic model category which will be the Bousfield localization of level wise model structure on simplicial presheaves on smooth schemes over a base. As an application of this theory, we will look at the representability results for Nisnevich torsors in Motivic homotopy category. In the second part, we will focus on Voevodsky’s triangulated category of motives. We will define the motivic cohomology and the category of effective motives. Then we will give a brief overview of the relationship between modules over motivic cohomology spectrum and Voevodsky’s category of motives. This provides a relationship between motivic stable homotopy theory and the theory of motives en_US
dc.description.sponsorship University of Duisburg-Essen ; IISER, Pune en_US
dc.language.iso en en_US
dc.subject 2018
dc.subject Mathematics en_US
dc.subject Algebraic geometry en_US
dc.subject Homotopy theory en_US
dc.subject Motives en_US
dc.subject Triangulated category en_US
dc.subject Model categories en_US
dc.subject Affine representability en_US
dc.title Motivic Homotopy Theory en_US
dc.type Thesis en_US
dc.type.degree BS-MS en_US
dc.contributor.department Dept. of Mathematics en_US
dc.contributor.registration 20131093 en_US


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  • MS THESES [1705]
    Thesis submitted to IISER Pune in partial fulfilment of the requirements for the BS-MS Dual Degree Programme/MSc. Programme/MS-Exit Programme

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