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Syzygies, moduli and topological invariants of groups

Project description

New study bridges algebra, geometry and topology through syzygies

Koszul algebra has played an important role in algebraic topology, commutative algebra and other mathematical fields. Researchers have recently shown that Koszul modules are novel homological objects that establish striking connections between algebraic geometry and geometric group theory. Based on this finding, the same group will study the interconnections between algebraic geometry and geometric group theory using syzygies. EU funding of the SYZYGY project will enable them to prove Green’s conjecture about equations of algebraic curves and compute the Kodaira dimension of the moduli space of curves of genus between 17 and 21. Focus will also be placed on finding algebro-geometric interpretations for the Alexander invariants of the Torelli group.

Host institution

HUMBOLDT-UNIVERSITAET ZU BERLIN
Net EU contribution
€ 2 147 202,00
Address
Unter Den Linden 6
10117 Berlin
Germany

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Region
Baden-Württemberg Stuttgart Stuttgart, Stadtkreis
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,50

Beneficiaries (1)

HUMBOLDT-UNIVERSITAET ZU BERLIN
Germany
Net EU contribution
€ 2 147 202,00
Address
Unter Den Linden 6
10117 Berlin

See on map

Region
Baden-Württemberg Stuttgart Stuttgart, Stadtkreis
Activity type
Higher or Secondary Education Establishments
Non-EU contribution
€ 0,50