8 citations · 28 across the 18 of their papers we have counts for
19 papers
On Infinitesimal -Isospectrality of Locally Symmetric Spaces
Chandrasheel Bhagwat, Kaustabh Mondal, Gunja Sachdeva
Let be a finite dimensional representation of a maximal compact subgroup of a connected non-compact semisimple Lie group , and let be a uniform torsion-free l…
Cluster Magnification, Root Capacity, Unique Chains and Base Change
Chandrasheel Bhagwat, Shubham Jaiswal
This article is inspired from the work of M Krithika and P Vanchinathan on Cluster Magnification and the work of Alexander Perlis on Cluster Size. We establish the existence of pol…
Right Splitting, Galois Correspondence, Galois Representations and Inverse Galois Problem
Chandrasheel Bhagwat, Shubham Jaiswal
In this article, we realize some groups as Galois groups over rational numbers and finite extension of rational numbers by studying right splitting of some exact sequences, Galois…
Representation Equivalence of Lattices in Lie Groups
Chandrasheel Bhagwat, Kaustabh Mondal
Let and be two lattices of finite covolume in a semisimple Lie group . We prove a spectral rigidity result for the representation spectra of the right regular repres…
Results on a Strong Multiplicity One Theorem
Chandrasheel Bhagwat, Gunja Sachdeva
We prove an analogue of the strong multiplicity one theorem in the context of -spherical representations of the group appearing in …
Automorphic tensor products and cuspidal cohomology of the
Chandrasheel Bhagwat, Sudipa Mondal
In this article, we establish an asymptotic lower bound estimate on the contribution of cuspidal automorphic representations of to cuspidal coho…
On the growth of cuspidal cohomology of
Chandrasheel Bhagwat, Sudipa Mondal
In this article, we establish an asymptotic estimate on the number of cuspidal automorphic representations of which contribute to the cuspidal c…
Eisenstein cohomology for orthogonal groups and the special values of -functions for
Chandrasheel Bhagwat, A. Raghuram
For an even positive integer , we study rank-one Eisenstein cohomology of the split orthogonal group over a totally real number field This is used to prove…
On length-holonomy spectrum of three dimensional compact hyperbolic manifolds
Chandrasheel Bhagwat, Ayesha Fatima
In this paper we establish a strong multiplicity one type property for the length-holonomy spectrum for the three dimensional compact hyperbolic spaces. We use the analytic propert…
On The Length Spectra of Simple Regular Periodic Graphs
Chandrasheel Bhagwat, Ayesha Fatima
One can define the notion of primitive length spectrum for a simple regular periodic graph via counting the orbits of closed reduced primitive cycles under an action of a discrete…
Special Values of L-functions for Orthogonal Groups
Chandrasheel Bhagwat, A. Raghuram
This is an announcement of certain rationality results for the critical values of the degree-2n L-functions attached to GL(1) SO(n, n) over for an even positiv…
On uniform lattices in real semisimple groups
Chandrasheel Bhagwat, Supriya Pisolkar
In this article we prove that the co-compactness of the arithmetic lattices in a connected semisimple real Lie group is preserved if the lattices under consideration are representa…
Endoscopy and the cohomology of GL(n)
Chandrasheel Bhagwat, A. Raghuram
In this article we study the nonvanishing of cuspidal cohomology for GL(n). Using endoscopic transfer from various classical groups we construct cuspidal representations of GL(n) o…
Divisibility patterns of natural numbers on a complex network
Snehal M. Shekatkar, Chandrasheel Bhagwat, G. Ambika
Investigation of divisibility properties of natural numbers is one of the most important themes in the theory of numbers. Various tools have been developed over the centuries to di…
On Deligne's periods for tensor product motives
Chandrasheel Bhagwat
In this paper, we give a description of Deligne's periods for tensor product of pure motives over in terms of the period invariants attached to…
Ratios of periods for tensor product motives
Chandrasheel Bhagwat, A. Raghuram
In this article we prove some period relations for the ratio of Deligne's periods for certain tensor product motives. These period relations give a motivic interpretation for certa…
Commensurability and representation equivalent arithmetic lattices
Chandrasheel Bhagwat, Supriya Pisolkar, C. S. Rajan
Gopal Prasad and A. S. Rapinchuk defined a notion of weakly commensurable lattices in a semisimple group, and gave a classification of weakly commensurable Zariski dense subgroups.…
On a strong multiplicity one property for the length spectra of even dimensional compact hyperbolic spaces
Chandrasheel Bhagwat, C. S. Rajan
We prove a strong multiplicity one theorem for the length spectrum of compact even dimensional hyperbolic spaces i.e. if all but finitely many closed geodesics for two compact even…
On a spectral analogue of the strong multiplicity one theorem
Chandrasheel Bhagwat, C. S. Rajan
We prove spectral analogues of the classical strong multiplicity one theorem for newforms. Let and be uniform lattices in a semisimple group . Suppose all but finite…