Algebraic solutions to enumerative problems in real and complex geometry
Enumerative geometry, the mathematics of counting numbers of solutions to geometry problems, analyses geometric problems by computing numerical invariants. This branch of algebraic geometry has successfully provided solutions to counting problems in geometry over the complex numbers. The EU-funded QUADAG project is using algebraic geometry and motivic homotopy theory to develop new, purely algebraic methods for handling enumerative problems over the real numbers, rational numbers or finite fields. The project will build on successful previous work by the researcher that has led to the development of a purely algebraic approach to tackling enumerative geometry problems, shedding light on both the complex and real solutions in a unified way.
Fields of science
Funding SchemeERC-ADG - Advanced Grant
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