CORDIS Project
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This project investigates the relationship between tame geometry and Hodge theory to better understand complex algebraic varieties. It focuses on arithmetic periods, variations of Hodge structures, and local systems, aiming to provide new insights into significant mathematical conjectures.
Hodge theory, as developed by Deligne and Griffiths, is the main tool for analyzing the geometry and arithmetic of complex algebraic varieties, that is, solution sets of algebraic equations over the complex numbers.
It occupies a central position in mathematics through its relations to differential geometry, algebraic geometry, differential equations and number theory.
It is an essential fact that at heart, Hodge theory is NOT algebraic.
On the other hand, some of the deepest conjectures in math…
HUMBOLDT-UNIVERSITAET ZU BERLIN
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