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Singular moduli for real quadratic fields - Lecture 3

By Jan Vonk

Appears in collection : Jean Morlet Chair - Classical and p-adic aspects of the Kudla program / Chaire Jean Morlet - Aspects classiques et p-adiques du programme Kudla

In this course, we will explore the work of Gross and Zagier on differences of singular moduli and heights of Heegner points over imaginary quadratic fields, as well as recent p-adic constructions whose goal is to exhibit similar structures in the more mysterious setting of real quadratic fields.

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Citation data

  • DOI 10.24350/CIRM.V.20499903
  • Cite this video Vonk, Jan (08/06/2026). Singular moduli for real quadratic fields - Lecture 3. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20499903
  • URL https://dx.doi.org/10.24350/CIRM.V.20499903

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Bibliography

  • VONK, J. B. Rigid cocycles and singular moduli for real quadratic fields. in BALAKRISHNAN, Jennifer S., POONEN, Bjorn, et VENKATESH, Akshay (ed.). Number theory informed by computation. American Mathematical Society, IAS/Park City Mathematics Institute, 2025 vol. 29, pp 249 -290 - https://doi.org/10.1090/pcms/029
  • DARMON, Henri, POZZI, Alice, et VONK, Jan. The values of the Dedekind–Rademacher cocycle at real multiplication points. Journal of the European Mathematical Society, 2023, vol. 26, no 10, p. 3987-4032. - https://doi.org/10.4171/JEMS/1344

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