CORDIS Project
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This project explores the mathematical framework of categorified Donaldson-Thomas theory, focusing on coherent sheaves in three-dimensional Calabi-Yau spaces. It aims to develop new theoretical insights and applications in noncommutative algebraic geometry, enhancing our understanding of string theory and algebraic geo…
According to string theory, coherent sheaves on three-dimensional Calabi-Yau spaces encode fundamental properties of the universe.
On the other hand, they have a purely mathematical definition.
We will develop and use the new field of categorified Donaldson-Thomas (DT) theory, which counts these objects.
Via the powerful perspective of noncommutative algebraic geometry, this theory has found application in recent years in a wide variety of contexts, far from classical algebraic geometry.Categori…
THE UNIVERSITY OF EDINBURGH
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United Kingdom, Glasgow
Type: University / higher education
Activity type: Higher or Secondary Education Establishments
SME: No
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