Thursday, January 4 2018
15:30 - 16:30

Alladi Ramakrishnan Hall

Monomial ideals with tiny squares

Shalom Eliahou


Let I be an ideal in the 2-variable polynomial ring K[x,y], minimally
generated by m monomials. How many generators are needed to generate the square of
I? It was widely expected that I^2 would require at least 2m-1 generators. Is this
true? In this talk, we will provide a rather surprising complete answer to this
question, achieved this past summer in a joint work with Jürgen Herzog and Maryam
Mohammadi Saem. The requirements to follow the talk are, well… minimal.

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