Model transition under local theta correspondence

Liu, Baiying

doi:10.1016/j.jalgebra.2015.09.041

Journal of Algebra

2016

DOI: 10.1016/j.jalgebra.2015.09.041

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Model transition under local theta correspondence

Baiying Liu

Abstract: Abstract. We study model transition for representations occurring in the local theta correspondence between split even special orthogonal groups and symplectic groups, over a non-archimedean local field of characteristic zero.

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Cited by 2 publications

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Leibniz, the microscope and the concept of preformation

Becchi

2017

HPLS

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In recent years a certain emphasis has been put by some scholars on Leibniz's concern about empirical sciences and the relations between such concern and the development of his mature metaphysical system. In this paper I focus on Leibniz's interest for the microscope and the astonishing discoveries that such instrument made possible in the field of the life sciences during the last part of the Seventeenth century. The observation of physical bodies carried out by the "magnifying glasses" revealed a matter swarming everywhere with life and activity, contrary to the cartesian and atomistic view of matter as something sterile and passive. Moreover, the discovery of uncountable complete "animalcula" living in the smallest drop of water provided evidence for the idea of the preformation of every organism. During his lifetime, Leibniz was extremely watchful about the new microscopical discoveries and came into contact with some of the major "observers" of his time, such as Hooke, Leeuwenhoek, Swammerdam and Malpighi. Relying both on some passages in Leibniz's texts and on recent critical studies, I will argue that important aspects of his metaphysics have been strongly affected by the empirical observation of the "invisible world" which the microscope made possible. In the last part of the paper I show how the concept of "preformation", originally drawn from the context of the life sciences, comes to play in Leibniz's philosophy a very general role, going far beyond the scope of biology and shaping important aspects of his overall philosophical system.

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Leibniz, the microscope and the concept of preformation

Becchi

2017

HPLS

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Correspondence of models under local theta lifting

Suzuki

2018

Journal of Algebra

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Model transition under local theta correspondence

Abstract: Abstract. We study model transition for representations occurring in the local theta correspondence between split even special orthogonal groups and symplectic groups, over a non-archimedean local field of characteristic zero.

Cited by 2 publications

References 8 publications

Leibniz, the microscope and the concept of preformation

Leibniz, the microscope and the concept of preformation

Correspondence of models under local theta lifting

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