FREE delivery to all EXCLUSIVE BOOKS stores nationwide. FREE delivery to your door on all orders over R450. Excludes all international deliveries.

Arithmetic and Geometry

Gisbert Wustholz, Clemens Fuchs
    Product form
      FORMAT: Hardback

      R 7,059.92 Price and availability exclusive to website

      YOU COULD EARN 7,059.92 FUTURE RETAIL DISCOUNTS.
      ESTIMATED DELIVERY: Approx. 10 - 15 Business Days
      BUY NOW PAY LATER
      From R 1,176.65 per month!
      3x monthly payments of R 2,353.30 with
      4x fortnightly payments of R 1,764.98 with
      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.
      Format: CONTRIBUTORS: Gisbert Wustholz, Clemens Fuchs EAN: 9780691193786 COUNTRY: United States PAGES: WEIGHT: 0 g HEIGHT: 235 cm
      PUBLISHED BY: Princeton University Press DATE PUBLISHED: 2019-10-08 CITY: GENRE: MATHEMATICS / Arithmetic, MATHEMATICS / Geometry / General WIDTH: 156 cm SPINE:

      Book Themes:

      Mathematics, Geometry

      Customer Reviews

      Be the first to write a review
      0%
      (0)
      0%
      (0)
      0%
      (0)
      0%
      (0)
      0%
      (0)
      Gisbert Wüstholz is professor emeritus of mathematics at ETH Zurich. Clemens Fuchs is professor of discrete mathematics at the University of Salzburg.
      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.
      Format: CONTRIBUTORS: Gisbert Wustholz, Clemens Fuchs EAN: 9780691193786 COUNTRY: United States PAGES: WEIGHT: 0 g HEIGHT: 235 cm
      PUBLISHED BY: Princeton University Press DATE PUBLISHED: 2019-10-08 CITY: GENRE: MATHEMATICS / Arithmetic, MATHEMATICS / Geometry / General WIDTH: 156 cm SPINE:

      Book Themes:

      Mathematics, Geometry

      Customer Reviews

      Be the first to write a review
      0%
      (0)
      0%
      (0)
      0%
      (0)
      0%
      (0)
      0%
      (0)
      Gisbert Wüstholz is professor emeritus of mathematics at ETH Zurich. Clemens Fuchs is professor of discrete mathematics at the University of Salzburg.

      Recently viewed products

      Login

      Forgot your password?

      Don't have an account yet?
      Create account