CORDIS Project
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This project investigates advanced mathematical theories related to triangulated categories and their applications. It aims to extend existing theories and clarify the relationships between different functors, potentially leading to significant breakthroughs in the field.
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…
UNIVERSITA DEGLI STUDI DI MILANO
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