WebThe use of p-adic and adelic methods in physics has been broadly developed over several decades, see for instance [11], [18], [43], [58], [60]. In [45] a p-adic model of ... the geometry of branched coverings and the Schwarzian equations of uniformization in the p-adic setting. The setting is a lot more restrictive in the non-achimedean case ... WebA. Weil and Algebraic Geometry: 6:30 Dinner, Dining Hall (Reservations required--see below) Saturday, January 9: 9:00-10:00: Pierre Cartier Ecole Normale Superieure: A. Weil and the Building of Adelic Geometry: 10:00-10:40 Refreshment Break: 10:45-11:45: Robert Langlands I.A.S. A. Weil and C. L. Siegel: 12:00-1:00: Peter Sarnak Princeton University
(PDF) Adelic interpretation of the Euler characteristic for one ...
WebMay 28, 2024 · In this paper, we establish a theory of adelic line bundles over quasi-projective varieties over finitely generated fields. Besides definitions of adelic line bundles, we consider their intersection theory, volume theory, and height theory, and apply these to study heights of algebraic points of quasi-projective varieties. Submission history WebSep 14, 2024 · In terms of the adelic integral expression, the functional equation of the theta function (and of the zeta integral) corresponds to the analytic duality furnished by Fourier transform on the adelic spaces and its subspaces. (due to Tate 50, reviewed for instance in Fesenko 08 0.1, Garrett 11, section 1.9, Goldfeld-Hundley 11 theorem 2.2.12) cheryls cookie cards
Adelic geometry on arithmetic surfaces I: idelic and adelic ...
Web8. Develop a 2d adelic approach to Arakelov geometry and the Deligne pairing. Partially done by P. Dolce and W. Czerniawska. 9. Develop a more refined measure and integration which takes into account the range of coefficients of finitely many powers of the main local parameter. Partially done by R. Waller. 10. WebSep 30, 2024 · The main focus will be on the case of arithmetic surfaces completed with the fibres at infinity in the sense of Arakelov geometry. We show the self duality of 2-dimensional adeles and moreover we explain how some fundamental adelic subspaces are self orthogonal with respect to a natural differential pairing. (Joint work with W. … WebJul 3, 2024 · 1. Idea 2. References Idea 0.1 In Frey82 Gerhard Frey? showed that, if the equation a^ {p}+b^ {p}=c^ {p} had any nontrivial integer solutions (a,b,c) for primes p\gt 2, the elliptic curve (now known as the Frey-Hellegouarch curve after Frey and Yves Hellegouarch?) y^ {2}=x (x-a^ {p}) (x-b^ {p}) would exhibit certain unusual properties. flights to orlando from gso