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We prove that the theta correspondence for the dual pair (SLg2; P B£), for B an indeˉnite quaternion algebra over Q, acting on modular forms of odd square-free level, preserves rationality and p-int...
Abstract: It was noticed by Harel in [Har86] that "one can define $\Sigma_1^1$-complete versions of the well-known Post Correspondence Problem". We first give a complete proof of this result, showing ...
Fisher established an explicit correspondence between the 2-dimensional Ising model defined on a graph G and the dimer model defined on a decorated version G of this graph [Fis66]. In this paper, we p...
Fisher established an explicit correspondence between the 2-dimensional Ising model defined on a graph G and the dimer model defined on a decorated version G of this graph [Fis66].
Previously a class of infinite-dimensional integral representations of the classical gl_{\ell+1}-Whittaker functions and local Archimedean local L-factors was constructed using two-dimensional topolo...

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