Timeline for "Gross-Zagier" formulae outside of number theory
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 20, 2018 at 9:26 | comment | added | Tian An | Essentially, the $L^2$ spectrum is described by the action of the Laplace operator, and modular forms turn out to be eigenfunctions, if we are looking at the upper half plane $\mathbb H$ modulo some discrete cocompact lattice $\Gamma$. Generalisations of this sort lead to automorphic forms, which decompose the $L^2$ spectrum of some homogeneous space $G/K$, and instead of the Laplacian one considers the right regular representation. | |
| Apr 17, 2018 at 14:19 | comment | added | Nico A | Could you expand on "The $L^2$ spectrum of your manifold is built out of modular forms"? | |
| Aug 10, 2015 at 3:45 | history | answered | Tian An | CC BY-SA 3.0 |