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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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