Big Cohen-Macaulay modules, morphisms of perfect complexes, and intersection theorems
Location: MSRI: Simons Auditorium
The talk concerns morphisms between perfect complexes over commutative noetherian rings. The central result is a criterion for the tensor-nilpotence of such morphisms, in terms of numerical invariants of complexes known as levels. The proof uses the existence of big Cohen-Macaulay modules. Applications to local rings include a strengthening of the Improved New Intersection Theorem, and short direct proofs of several results equivalent to it. The results come from recent joint work with Iyengar and Neeman; see https://arxiv.org/abs/1711.04052
If none of the options work for you, you can always buy the DVD of this lecture. The videos are sold at cost for $20USD (shipping included). Please Click Here to send an email to MSRI to purchase the DVD.
See more of our Streaming videos on our main VMath Videos page.