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.
Fields of science
Funding SchemeERC-ADG - Advanced Grant
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