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Department of Pure Mathematics, University of Calcutta, India

International Conference on Pure Mathematics and its Applications (ICPMA-2025) aims to bring together several leading academicians and researchers from different corners of the world to exchange their knowledge and share their research outcomes. This conference intends to provide a platform, particularly for young researchers, to learn from the veterans and rejuvenate through the academic discussions with the experts of various fields of mathematics.

Convenor or Jt. Convenor;     Email.: cupuremathseminar@caluniv.ac.in

Algebra, Differential Equations, Dynamical Systems and Nonlinear Analysis, Functional Analysis, Geometry and Topology, Graph Theory, Harmonic Analysis, Mathematical Logic, Measure Theory, Number Theory and Cryptography, Real and Complex Analysis.

Géométrie et topologie,    Théorie des graphes et combinatoire

Centre International de Mathématiques Pures et Appliquées (CIMPA)

An L-function is a function defined additively by a Dirichlet series with a multiplicative Euler product. The initial work of Dirichlet was generalized to number fields by Hecke and given an adelic interpretation by Tate which paved the way to move from GL(1) to higher degree L functions associated to automorphic forms of GL(n) for a general n . Automorphic L functions are essentially analytic objects and allow translations between arithmetic and analysis. We recall the legendary correspondence in the case of the Riemann-ζ function, the prototype of higher L -functions both analytic and arithmetic-algebraic, between an arithmetic statement on the distribution of primes and an analytic one on the distribution of its zeros. Now there are many more parameters to explore. For example, bounding twisted automorphic forms in terms of conductors help obtain the asymptotics of representations of totally positive integers by ternary quadratic forms. The aim of this school is to prepare the participants to appreciate the contemporary theory of automorphic representations, their L -functions and their surprising links with diverse fields like Fourier analysis, algebraic geometry and theoretical physics.