Speaker:  Ayah Almousa, Cornell University
Title: Polarizations of Powers of the Maximal Ideal in a Polynomial Ring
Time: 2:30 PM, Monday, November 11, 2019
Place:  Malott 206

Abstract: We give a complete combinatorial characterization of all possible polarizations of powers of the maximal ideal $(x_1,x_2,\dotsc,x_n)$ in a polynomial ring of $n$ variables. We also give a combinatorial description of the Alexander duals of such polarizations. In the three variable case we show that every polarization defines a (shellable) simplicial ball. We conjecture that any polarization of an Artinian monomial ideal defines a simplicial ball. This is joint work with Gunnar Fløystad.


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