Arithmetic And Geometry Ten Years In Alpbach(1st Edition)
Authors:
Gisbert Wustholz, Clemens Fuchs
In Stock
Shipment time
Expected shipping within 2 DaysPopular items with books
Total Price:
$0
Book details
ISBN: 0691193770, 978-0691193779
Book publisher: Princeton University Press
Book Summary: 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.
Customers also bought these books
Inoomp Youth Aid Head Kids Goggles Look Player Dribbling Training Glasses -
?Inoomp
ISBN: B0BRDFM3ZM
$0 $73.00Frequently Bought Together
Building Accounting Systems Using Access 2010 - 8th Edition
James Perry
ISBN: 1111530998, 978-1111530990
$0 $180.10
Effective Business Communications - 7th Edition
Herta A Murphy
ISBN: 007044398X, 978-0070443983
$0 $26.78
Financial Accounting Theory - 7th edition
William R. Scott
ISBN: 132984660, 978-0132984669
$0 $246.65
Applied Statistical Modelling For Ecologists A Practical Guide To Bayesian And Likelihood Inference Using R JAGS NIMBLE Stan And TMB - 1st Edition
Marc Kéry
ISBN: 0443137153, 978-0443137150
$0 $89.95
If A Church Pew Could Talk A Novel - 1st Edition
Cindy Carraway Williams
ISBN: B0CLHR3H9Q, 979-8989258406
$0 $13.99
The Magic School Bus And The Climate Challenge - 1st Edition
Joanna Cole
ISBN: 0545655994, 978-0545655996
$0 $8.58Top Reviews for Books
