Talks

Euler-Koszul complex

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Talks

Tsung-Ju Lee (NCKU)
2025-10-27  10:40-11:30
Room 202, Astronomy and Mathematics Building

GKZ A-hypergeometric systems are one of the most important examples in D-modules. In our previous work, we explicitly computed the Riemann--Hilbert partner of a certain type of GKZ systems arising from variation of Hodge structure for CY complete intersections in toric varieties. One of the key ingredients in our proof is a Fourier--Laplace transform formula for GKZ systems by Reichelt. The proof of Reichelt's formula heavily relies on the construction of the Euler--Koszul complex. In this talk, I will explain the idea, the construction as well as some basic properties of the Euler--Koszul complex.