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pro vyhledávání: '"Gordon, Julia"'
Let $G$ be a reductive group over a local field $F$ of characteristic $0$. By Harish-Chandra's regularity theorem, every global character $\Theta_{\pi}$ of an irreducible, admissible representation $\pi$ of $G$ is given by a locally integrable functi
Externí odkaz:
http://arxiv.org/abs/2312.01591
This note provides an informal introduction, with examples, to some technical aspects of the re-normalization of measures on orbital integrals used in the work of Langlands, Frenkel-Langlands-Ng\^o, and Altug on Beyond Endoscopy. In particular, we su
Externí odkaz:
http://arxiv.org/abs/2205.02391
Publikováno v:
Alg. Number Th. 17 (2023) 1239-1280
Let $[X,\lambda]$ be a principally polarized abelian variety over a finite field with commutative endomorphism ring; further suppose that either $X$ is ordinary or the field is prime. Motivated by an equidistribution heuristic, we introduce a factor
Externí odkaz:
http://arxiv.org/abs/1905.11603
We study upper bounds, approximations, and limits for functions of motivic exponential class, uniformly in non-Archimedean local fields whose characteristic is $0$ or sufficiently large. Our results together form a flexible framework for doing analys
Externí odkaz:
http://arxiv.org/abs/1703.03381
Publikováno v:
Pacific J. Math. 286 (2017) 1-24
An isogeny class of elliptic curves over a finite field is determined by a quadratic Weil polynomial. Gekeler has given a product formula, in terms of congruence considerations involving that polynomial, for the size of such an isogeny class. In this
Externí odkaz:
http://arxiv.org/abs/1510.07068
Autor:
Gordon, Julia, Roe, David
Let $G$ be a connected reductive group over a non-Archimedean local field. We prove that its parahoric subgroups are definable in the Denef-Pas language, which is a first-order language of logic used in the theory of motivic integration developed by
Externí odkaz:
http://arxiv.org/abs/1507.02619
Autor:
Gordon, Julia, Hales, Thomas
This article constructs Shalika germs in the context of motivic integration, both for ordinary orbital integrals and kappa-orbital integrals. Based on transfer principles in motivic integration and on Waldspurger's endoscopic transfer of smooth funct
Externí odkaz:
http://arxiv.org/abs/1502.07368
We study transfer principles for upper bounds of motivic exponential functions and for linear combinations of such functions, directly generalizing the transfer principles from [7] by Cluckers-Loeser and [13, Appendix B] by Shin-Templier (appendix B
Externí odkaz:
http://arxiv.org/abs/1412.4573
We prove that Shalika germs on the Lie algebras sl(n) and sp(2n) belong to the class of so-called `motivic functions' defined by means of a first-order language of logic. We also prove, for these Lie algebras, a uniform bound of the form q^a (where q
Externí odkaz:
http://arxiv.org/abs/1412.3891
This is a short announcement and summary of the results of arxiv:1111.7057, arxiv.org:1111.4405, and Appendix B to arxiv:1208.1945. In particular, we emphasize the exposition of the ideas related to model theory and motivic integration, and simplify
Externí odkaz:
http://arxiv.org/abs/1309.0594