Current Topics Seminar
| Speaker | Monty McGovern |
| Title | Symmetry and Posets. |
| Date | May 17th, 4:00pm PDL C-36 |
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Given a graded poset (that is, a partially ordered set in which each element is
assigned a "level" compatibly with the partial order), one can get a picture of
the overall structure of the poset by q-counting the elements by level (that is,
counting the element of each level i, multiplying by qi, and then
adding the resulting monomials). I will show how to do this very elegantly with
some of my favorite posets and in particular a close relationship between the
symmetry of the poset from this point of view and various nice properties of
corresponding geometric objects.
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