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Seminar

COMA Special Topics Seminar: "Free Resolutions, Linkage, and Representation Theory" March 22, 2024 (02:00 PM PDT - 03:00 PM PDT)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Jerzy Weyman (Jagiellonian University)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Free Resolutions, Linkage, and Representation Theory_1

Abstract/Media

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We review the construction of the generic ring R_gen for finite free resolutions of length 3. We describe the connection to the root system of type T_pqr. This gives a multiplicity free decomposition of R_gen as an sl(F_0) x sl(F_2) x g(T_pqr) module. We define the defect Lie algebra and higher structure maps. Several concrete examples will be given.

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Free Resolutions, Linkage, and Representation Theory_1