ERC Advanced Grant · 2022
Triangulated categories and their applications, chiefly to algebraic geometry
There are two components to this project. (1) Develop and extend the striking new theory, created by the PI in the last few years, which studies triangulated categories via metrics and approximations. (2) Build on very recent work to better understand which functors are Fourier-Mukai and which aren't. In the case of (1), the novel idea of appropriately using metrics has already allowed the PI to prove several difficult conjectures, the most recent just a few weeks ago. The potential of the new theory is immense, and this project aims to extend the scope of the methods and apply them widely. The project also aims to work out the implications of a surprising theorem proved by the methods,…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.