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  • Towards a mod-p Lubin-Tate theory for GL2 over totally real fields 
    BANERJEE, DEBARGHA; RAI, VIVEK (World Scientific Publishing Co Pte Ltd, 2024-01)
    In this paper, we show that the conjectural mod p local Langlands correspondence can be realized in the mod p cohomology of the Lubin-Tate towers. The proof utilizes a wellknown conjecture of Buzzard-Diamond-Jarvis [8, ...
  • Categories of modules, comodules and contramodules over representations 
    Balodi, Mamta; Banerjee, Abhishek; RAY, SAMARPITA (Walter de Gruyter, 2024-01)
    We study and relate categories of modules, comodules and contramodules over a representation of a small category taking values in (co)algebras, in a manner similar to modules over a ringed space. As a result, we obtain a ...
  • Heegaard Floer invariants for cyclic 3-orbifolds 
    Ganguli, Saibal; PODDAR, MAINAK (World Scientific Publishing, 2024-01)
    We define a notion of Heegaard Floer homology for three-dimensional orbifolds with arbitrary cyclic singularities, generalizing the recent work of Biji Wong where the singular locus is assumed to be connected.
  • Strong ill-posedness for fractional Hartree and cubic NLS equations 
    BHIMANI, DIVYANG G.; Haque, Saikatul (Elsevier B.V., 2023-12)
    We consider fractional Hartree and cubic nonlinear Schrödinger equations on Euclidean space and on torus . We establish norm inflation (a stronger phenomena than standard ill-posedness) at every initial data in Fourier ...
  • Pure inner functions, distinguished varieties and toral algebraic commutative contractive pairs 
    Das, B. Krishna; SAU, HARIPADA (American Mathematical Society, 2023-12)
    We study the pairs of commuting contractions that are annihilated by polynomials with a geometric condition on its zero set, herein called the toral algebraic pairs. Toral algebraic pairs of commuting isometries are ...
  • Prasad’s Conjecture About Dualizing Involutions 
    AROTE, PRASHANT; MISHRA, MANISH (Oxford University Press, 2023-12)
    Let $G$ be a connected reductive group defined over a finite field ${\mathbb{F}}_{q}$ with corresponding Frobenius $F$. Let $\iota _{G}$ denote the duality involution defined by D. Prasad under the hypothesis $2\textrm{H ...
  • Connections on Lie groupoids and Chern–Weil theory 
    Biswas, Indranil; Chatterjee, Saikat; KOUSHIK, PRAPHULLA; Neumann, Frank (World Scientific Publishing, 2023-12)
    This paper presents the infinitesimal prolongation to Riemann–Liouville and Caputo fractional derivatives without the restrictive lower limit fixed in the integrals, when applicated to the transformation group. The properties ...
  • On heat equations associated with fractional harmonic oscillators 
    BHIMANI, DIVYANG G.; Manna, Ramesh; Nicola, Fabio; Thangavelu, Sundaram; Trapasso, S. Ivan (Springer Nature, 2023-12)
    We establish some fixed-time decay estimates in Lebesgue spaces for the fractional heat propagator e(-tH beta), t, beta > 0, associated with the harmonic oscillator H = -Delta+vertical bar x vertical bar(2). We then prove ...
  • Boundary value problems for semilinear Schrodinger equations with singular potentials and measure data 
    BHAKTA, MOUSOMI; Marcus, Moshe; Nguyen, Phuoc-Tai (Springer Nature, 2023-12)
    We study boundary value problems with measure data in smooth bounded domains Omega, for semilinear equations. Specifically we consider problems of the form - L(V)u + f (u) = tau in Omega and tr(V)u = nu on partial derivative ...
  • Parameterized Complexity of Biclique Contraction and Balanced Biclique Contraction 
    Krithika, R.; Malu, V. K. Kutty; Sharma, Roohani; TALE, PRAFULLKUMAR (Schloss Dagstuhl, 2023-12)
    A bipartite graph is called a biclique if it is a complete bipartite graph and a biclique is called a balanced biclique if it has equal number of vertices in both parts of its bipartition. In this work, we initiate the ...

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