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Quadratic refinements in algebraic geometry

Project description

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.

Host institution

UNIVERSITAET DUISBURG-ESSEN
Net EU contribution
€ 2 124 663,00
Address
Universitatsstrasse 2
45141 Essen
Germany

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Region
Nordrhein-Westfalen Düsseldorf Essen, Kreisfreie Stadt
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00

Beneficiaries (1)

UNIVERSITAET DUISBURG-ESSEN
Germany
Net EU contribution
€ 2 124 663,00
Address
Universitatsstrasse 2
45141 Essen

See on map

Region
Nordrhein-Westfalen Düsseldorf Essen, Kreisfreie Stadt
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,00