ERC Starting Grant · 2022
Geodesics And Geometric-ARithmetic INtersections
This project will develop several aspects of a theory of real multiplication (RM), a long-sought counterpart of the theory of complex multiplication (CM) discovered in the 19th century. Classical CM theory is famed for its beauty and elegance, and is important in a variety of contexts. For instance: (1) in the classical era, it arose in the context of explicit class field theory. This feature is the subject of Kronecker's Jugendtraum and Hilbert's 12th problem, (2) in the modern era, it has been instrumental in proving known cases of the Birch-Swinnerton-Dyer conjecture, notably the results of Gross-Zagier which are a main theme of this proposal, (3) it has been used in elliptic and…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.