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1
ICEPAM-2024 — 2nd INTERNATIONAL CONFERENCE ON EVOLUTION IN PURE AND APPLIED MATHEMATICS
20 Nov 2024 - 22 Nov 2024 • Talwandi Sabo, Bathinda, Punjab, India
Organizer:
Akal University
Contact:
Phone: [+919050300059];     Email: icepam@auts.ac.in
Topics:
Combinatorics, Special Functions, Graph Theory, Algebra and Its Applications, Number Theory, Topology, Analysis, Summability and Approximation Theory, Operations Research Theoretical and Numerical Aspects of ODEs/PDE/Fractional DEs, Differential Geometry and Applications, Coding Theory, Cryptography and Information Theory
Event listing ID:
1632883
2
CIMPA School on Automorphic L-functions
30 Jun 2025 - 11 Jul 2025 • IIT Ropar, India
Organizer:
Centre International de Mathématiques Pures et Appliquées (CIMPA)
Abstract:
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.
Event listing ID:
1613872


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Last updated: 11 August 2024