Department of

# Mathematics

Seminar Calendar
for events the day of Thursday, May 6, 2021.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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Thursday, May 6, 2021

3:00 pm in Zoom,Thursday, May 6, 2021

#### Counting linear extensions of posets using determinants

###### Alexander Garver   [email] (Carleton College)

Abstract: We introduce a class of posets, which includes both ribbon posets (skew shapes) and d-complete posets, such that their number of linear extensions is given by a determinant of a matrix whose entries are products of hook lengths. If time permits, we will also present q-analogues of this determinantal formula in terms of the major index and inversion statistics. This is joint work with Stefan Grosser, Jacob Matherne, and Alejandro Morales. Please email Colleen at cer2 (at) illinois (dot) edu for the Zoom ID and password.