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Inclusion-exclusion principle in homological algebra

QMAP Seminar

Speaker: Anton Khoroshkin, stony brook
Location: 2112 MSB
Start time: Tue, Apr 3 2012, 4:10PM

I will explain how one can use the inclusion-exclusion principle to construct free resolutions of monomial objects in different algebraic settings. The appropriate theory of Grobner bases allows to extend these resolutions to the general situation. Particular examples include associative algebras, commutative algebras, operads and even enumerative problems in pattern avoidance.