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ARITHMETIC PROPERTIES OF THE SHIMURA-SHINTANI-WALDSPURGER CORRESPONDENCE
ARITHMETIC PROPERTIE CORRESPONDENCE
2015/7/6
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...
Three Applications to Rational Relations of the High Undecidability of the Infinite Post Correspondence Problem in a Regular omega-Language
Decision problems infinite Post Correspondence Problem analytical hierarchy high undecidability infinitary rational relations
2011/10/10
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 ...
Critical Ising Model and Cycle Rooted Spanning Forests: an explicit correspondence
Critical Ising Model Cycle Rooted Spanning Forests explicit correspondence
2011/2/24
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...
Critical Ising Model and Cycle Rooted Spanning Forests: an explicit correspondence
Critical Ising Model Cycle Rooted explicit correspondence
2011/3/4
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].
Representation Theory over Tropical Semifield and Langlands Correspondence
Representation Theory Tropical Semifield Langlands Correspondence
2010/11/18
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...