CORDIS Project
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This project focuses on solving complex geometric problems related to higher-dimensional curved spaces, specifically through the study of varieties in algebraic geometry. By applying modern techniques from derived categories and stability conditions, it aims to provide new insights into longstanding mathematical questi…
Geometry studies higher-dimensional curved spaces.
We can describe these spaces by equations, but the only case where we have any hope to use them for calculation is when the equations are polynomials.
The resulting spaces are the objects of algebraic geometry, which are called varieties.
Although these objects have been studied for a long time, there are still lots of crucial open problems:
If we are given a variety, can we embed it in other well-known varieties?
For instance, can we find a ''n…
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