Class Field Theory

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