CORDIS Project
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This project focuses on advancing enumerative geometry by developing new algebraic methods to solve geometric problems across various fields. It aims to unify results from complex and real cases while uncovering the arithmetic nature of numerical invariants using motivic homotopy theory and algebraic geometry.
Enumerative geometry, the mathematics of counting numbers of solutions to geometric problems, and its modern descendents, Gromov-Witten theory, Donaldson-Thomas theory, quantum cohomology and many other related fields, analyze geometric problems by computing numerical invariants, such as intersection numbers or degrees of characteristic classes.
This essentially algebraic approach has been successful mainly in the study of problems over the complex numbers and other algebraically closed field…
UNIVERSITAET DUISBURG-ESSEN
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