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  • p-adic L-functions for modular forMS 
    SATPATHY, PUNYA PLABAN (2014-05)
    In this thesis we give an exposition of various known techniques of constructing p- adic L-functions in different cases. The key idea behind this is constructing a non- archimedean measure and then performing a p-adic ...
  • Cohomology of GL(2) 
    P., SHIVA CHIDAMBARAM (2015-05)
    Let $F$ be a number field. Let $G=GL(2)$ over $F$. Let $\mathbb{A}$ and $\mathbb{A}_f$ denote the ring of adeles and finite adeles of $F$ respectively. Let $K_{\infty}$ denote the maximal compact subgroup of $G_{\infty}= ...
  • Towards the Plancherel Formula of GL(2) over a p-adic field 
    BERA, PAPIA (2017-04)
    This project aims to write down the Plancherel formula for GL(2; F) where F is a p-adic eld. The Plancherel formula for SL(2; F) and PGL(2; F) are known, and we also have a general form of the formula for a real reductive ...
  • Critical values of L-functions for GL3 × GL1 over a number field 
    SACHDEVA, GUNJA (Dept. of Mathematics, 2017-08)
    We prove an algebraicity result for all the critical values of L-functions for GL3 × GL1 over a totally real field, and a CM field separately. These L- functions are attached to a cohomological cuspidal automorphic ...
  • Cohomology of Representations and Langlands Functoriality 
    SARNOBAT, MAKARAND (Dept. of Mathematics, 2019-02)
    Let G be a real semi-simple Lie group. Let A be an arithmetic subgroup of the group G. Suppose that F is a finite-dimensional representation of G. One of the objects of interest is the cohomology group H (A, F). In ...
  • Estimation of the Dimension of Cuspidal and Total Cohomology 
    AMBI, CHAITANYA (Dept. of Mathematics, 2019-09)
    We consider the Weil restriction of a connected reductive algebraic group over a number field to the rational numbers. For a level structure in the group of its adelic points, we form an adelic locally symmetric space. ...

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