Seminar
| Parent Program: | -- |
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| Location: | SLMath: Online/Virtual |
To attend this seminar, you must register in advance, by clicking HERE.
Consider a polynomial ring in n variables, together with the action of the symmetric group by coordinate permutations. In my talk I will describe many familiar notions in Commutative Algebra in the context of monomial ideals that are preserved by the action of the symmetric group. These include Castelnuovo-Mumford regularity, projective dimension, saturation, symbolic powers, or the Cohen-Macaulay property. My goal is to explain how changing focus from minimal resolutions to Ext modules can lead to a simplified picture of the homological algebra, and to provide concrete combinatorial recipes to determine the relevant homological invariants.
Commutative Algebra With S_n-Invariant Monomial Ideals
Consider a polynomial ring in n variables, together with the action of the symmetric group by coordinate permutations. In my talk I will describe many familiar notions in Commutative Algebra in the context of monomial ideals that are preserved by the action of the symmetric group. These include Castelnuovo-Mumford regularity, projective dimension, saturation, symbolic powers, or the Cohen-Macaulay property. My goal is to explain how changing focus from minimal resolutions to Ext modules can lead to a simplified picture of the homological algebra, and to provide concrete combinatorial recipes to determine the relevant homological invariants.
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Notes
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Commutative Algebra With S_n-Invariant Monomial Ideals
| H.264 Video | 25030_28418_8358_Commutative_Algebra_with_S_N-Invariant_Monomial_Ideals.mp4 |