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Class Field Theory

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dc.contributor.advisor BHAGWAT, CHANDRASHEEL en_US
dc.contributor.author SINGH, SHASHANK en_US
dc.date.accessioned 2018-05-21T08:10:29Z
dc.date.available 2018-05-21T08:10:29Z
dc.date.issued 2018-05 en_US
dc.identifier.uri http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/1042
dc.description.abstract In this thesis, we state and sketch the proofs of main theorems of class field theory. There are many approaches to studying class field theory. We take the cohomological approach to prove the main results for the local case and then using these results establish analogous results for global fields. We briefly discuss John Tate’s seminal thesis on meromorphic analytic continuation of L-functions and their functional equations. No claim is made about originality of content and exposition. en_US
dc.description.sponsorship DST-INSPIRE Fellowship en_US
dc.language.iso en en_US
dc.subject 2018
dc.subject Local field en_US
dc.subject Global field en_US
dc.subject Adèle en_US
dc.subject Idèle en_US
dc.subject Reciprocity law en_US
dc.subject Existence theorem en_US
dc.subject Kronecker-Weber theorem en_US
dc.subject Algebraic Number Theory en_US
dc.subject Mathematics en_US
dc.title Class Field 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 20131017 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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