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Revisiting the New Intersection Theorem

Lars Winther Christensen (Texas Tech University)
Friday 11 November 2022 14:15–15:15 Aud. D1 (1531-113)
Mathematics Seminar

In its various forms, the The New Intersection Theorem is concerned with the length of a finite free complex, that is, a complex F=0FnF1F00 of finitely generated free modules, over a local ring (R,m). The classic version, due to Peskine and Szpiro (1973) asserts that if HH(F) is non-zero and each homology module HHi(F) is of finite length, then ndimR holds.

In the talk I will discuss the history of this a recent result up to a recent improvement obtained in joint work with Luigi Ferraro.

Organised by: AarHomAlg
Contact: Karin M. Jacobsen Revised: 25.05.2023