CORDIS Project
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This project investigates the rationality of various mathematical structures, focusing on rationally connected varieties and abelian varieties. It aims to develop new computational tools to analyze these structures and solve longstanding problems in algebraic geometry.
This project uses algebraic cycles and unramified cohomology to attack fundamental questions about the rationality, stable rationality and unirationality of rationally connected varieties, the integral Hodge conjecture for abelian varieties, as well as the Griffiths-Harris conjecture about curves on three-dimensional hypersurfaces.
A breakthrough of Voisin, with improvements by Colliot-Thélène--Pirutka and myself, recently led to tremendous advances in our understanding of (stable) rationality o…
GOTTFRIED WILHELM LEIBNIZ UNIVERSITAET HANNOVER
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