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Glicci ideals November 14, 2012 (02:00 PM PST - 03:00 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) Elisa Gorla
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Using complete intersections to link ideals is a classical technique, which can be traced back to Noether, Macaulay, and Severi among others. Although it started as a computational tool and a proof technique, liaison developed into a theory of independent interest. For ideals of height 3 or higher, one can consider liaison via Gorenstein ideals as a generalization of the classical liaison via complete intersection ideals of height 2. In this talk, we consider liaison via Gorenstein ideals. An ideal is called glicci if it can be linked to a complete intersection in a finite number of steps. A central question within Gorenstein liaison asks whether any Cohen-Macaulay ideal is glicci. I will introduce liaison and discuss this question, with an eye on the examples coming from determinantal ideals.

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