| Résume | Forty years ago, Gross and Zagier published a landmark article in which they obtained a formula that computes the central derivative of L-function of a modular form of weight 2 in terms of its Heegner point, known as the Gross–Zagier formula. Since then, the formula has been vastly generalized. However, except for the work of S. Zhang on elliptic modular forms of even weights under the Heegner condition, all restrict to minimal weights. In this talk, we will explain our recent discovery on finding the arithmetic meaning of L-derivatives of cohomological automorphic representations of general balanced weights. |
