CORDIS Project
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This project aims to develop stability conditions and wall-crossing techniques in algebraic geometry to address various problems, including the Brill-Noether problem and the study of moduli spaces. It seeks to advance understanding of birational geometry and establish new inequalities for stable sheaves on higher-dimen…
We will establish stability conditions and wall-crossing in derived categories as a standard methodology for a wide range of fundamental problems in algebraic geometry.
Previous work based on wall-crossing, in particular my joint work with Macri, has led to breakthroughs on the birational geometry of moduli spaces and related varieties.
Recent advances have made clear that the power of stability conditions extends far beyond this setting, allowing us to study vanishing theorems or bounds on glob…
THE UNIVERSITY OF EDINBURGH
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