#### Alladi Ramakrishnan Hall

#### Monomial ideals with tiny squares

#### Shalom Eliahou

##### ULCO

*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.

Done