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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 ...
Discrepancy results for modular forms

DAS, JISHU (2023-11)

Let F be a totally real number field, r = [F : Q], and N be an integral ideal. Let Ak(N, ω) be the space of holomorphic Hilbert cusp forms with respect to K1(N), weight k = (k1, ..., kr) with kj > 2, kj even for all j ...
Extra twists of Siegel modular forms, the associated central simple algebras and dimensions of spaces of Siegel modular forms

DEBNATH, RONIT (2025-05)

Denote the Siegel upper half space as $$\mathbb{H}_2=\{X+iY \in M_2(\mathbb{C})~|~ X=X^t, Y=Y^t,Y>0\}. $$ A holomorphic function $F:\mathbb{H}_2 \rightarrow \mathbb{C}$ is called a Siegel modular form of weight $k$, if ...

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