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Rigid Analysis

GUPTA, NIKHIL (2020-04)

Rigid Analysis is the p-adic analogue of the classical complex geometry. After Hensel discovered the p-adic numbers in 1893, attempts were made to formulate a theory of analytic functions over Q_p . Initially, the question ...
ON THE DEPTH AND GENERICITY OF REPRESENTATIONS of A p-ADIC GROUP.

PATTANAYAK, BASUDEV (Dept. of Mathematics, 2021-12)

The main theme of the thesis is the study of the depth and genericity of representations of a p-adic group. This thesis is divided into two parts. In the local Langlands correspondence(LLC), irreducible representations ...
On Zn ⋊ Z2-Hopf-Galois structures and unit group of some group algebras

ARVIND, NAMRATA (2022-12)

This thesis is divided in two parts. The first part talks about Hopf-Galois structures on groups of the form Zn⋊φZ2. Let K/F be a finite Galois extension of fields with Gal(K/F) = Γ. We enumerate the Hopf-Galois structures ...

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