Deformations of diagonal Hilbert Eisenstein series

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• Håvard Damm-Johnsen, University of Oxford
• Friday 25 February 2022, 15:00-16:00
• CMS MR15.

If you have a question about this talk, please contact Tom Adams.

Elliptic modular forms are crucial to the understanding of many phenomena in number theory. Their counterpart over totally real number fields, Hilbert modular forms, capture finer arithmetic properties of such number fields. By the work Darmon-Pozzi-Vonk, the first-order deformation of a certain Hilbert modular form gives rise to an elliptic modular form whose spectral expansion contains both Gross-Stark units and Stark-Heegner points. This can be interpreted as an example of explicit class field theory over a real quadratic field. We give an explicit algorithm in the real-quadratic case, and discuss some ongoing work on extending the results.

This talk is part of the Junior Algebra and Number Theory seminar series.

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