# Mathematical Sciences Research Institute

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# Seminar

Commutative Algebra and Algebraic Geometry (Eisenbud Seminar) March 05, 2013 (03:45 PM PST - 06:00 PM PST)
Location: UC Berkeley
Speaker(s) Marti Lahoz
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Video
Abstract/Media

Commutative Algebra and Algebraic Geometry Seminar
Tuesdays, 3:45-6:00
939 Evans Hall

Organized by David Eisenbud
In this talk, I will give a new construction of stable Arithmetically Cohen-Macaulay (ACM) bundles on cubic hypersurfaces in $P^{4}$ and $P^{5}$ Our construction relies on the interpretation of MCM modules as objects in the derived category of modules over the even part of the Clifford algebra associated to a quadric fibration. If time permits, I will explain how choices in the threefold case induce different compactifications of the moduli space of Ulrich bundles of rank 2. This is a joint work with Emanuele Macrì and Paolo Stellari.