عنوان

Arithmetic and geometry :

شابک

0691197547

شابک

9780691197548

شابک اشتباه

9780691193779

شابک اشتباه

9780691193786

عنوان اصلي

Arithmetic and geometry :

نام عام مواد

[Book]

ساير اطلاعات عنواني

ten years in Alpbach /

نام نخستين پديدآور

edited by Gisbert Wüstholz and Clemens Fuchs.

محل نشرو پخش و غیره

Princeton :

نام ناشر، پخش کننده و غيره

Princeton University Press,

تاریخ نشرو بخش و غیره

2019.

نام خاص و کميت اثر

1 online resource (viii, 174 pages)

عنوان فروست

Annals of mathematics studies ;

مشخصه جلد

number 202

متن يادداشت

Arithmetic and Geometry presents highlights of recent work in arithmetic algebraic geometry by some of the world's leading mathematicians. Together, these 2016 lectures--which were delivered in celebration of the tenth anniversary of the annual summer workshops in Alpbach, Austria--provide an introduction to high-level research on three topics: Shimura varieties, hyperelliptic continued fractions and generalized Jacobians, and Faltings height and L-functions. The book consists of notes, written by young researchers, on three sets of lectures or minicourses given at Alpbach. The first course, taught by Peter Scholze, contains his recent results dealing with the local Langlands conjecture. The fundamental question is whether for a given datum there exists a so-called local Shimura variety. In some cases, they exist in the category of rigid analytic spaces; in others, one has to use Scholze's perfectoid spaces. The second course, taught by Umberto Zannier, addresses the famous Pell equation--not in the classical setting but rather with the so-called polynomial Pell equation, where the integers are replaced by polynomials in one variable with complex coefficients, which leads to the study of hyperelliptic continued fractions and generalized Jacobians. The third course, taught by Shou-Wu Zhang, originates in the Chowla-Selberg formula, which was taken up by Gross and Zagier to relate values of the L-function for elliptic curves with the height of Heegner points on the curves. Zhang, X. Yuan, and Wei Zhang prove the Gross-Zagier formula on Shimura curves and verify the Colmez conjecture on average.

منبع سفارش / آدرس اشتراک

JSTOR

شماره انبار

22573/ctvft8mx7

عنوان

Arithmetic and Geometry : Ten Years in Alpbach (AMS-202).

شماره استاندارد بين المللي کتاب و موسيقي

9780691193786

موضوع مستند نشده

Arithmetical algebraic geometry, Congresses.

موضوع مستند نشده

Arithmetical algebraic geometry.

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Fuchs, Clemens,1976-

مستند نام اشخاص تاييد نشده

Wüstholz, Gisbert

تاريخ عمليات

20200822123237.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y