Colin Defant
Speaker Affiliation: 
Princeton University
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February 15, 2022

Zoom - https://ubc.zoom.us/j/62676242229?pwd=RURtUC9UYXEweVZTMTNGT1EvY1FLZz09
Vancouver, BC V6T1Z2

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The purpose of this talk is to advertise noninvertible combinatorial dynamics, a largely unexplored area with several interesting directions. We will focus on the pop-stack sorting map, a specific noninvertible operator on the symmetric group, along with several of its recently-defined variants. We will discuss generalizations and extensions of the pop-stack sorting map to Coxeter groups and meet-semilattices. We will also see how to use pop-stack sorting to extend the definition of rowmotion to meet-semidistributive lattices; the resulting rowmotion operators are not always invertible. Finally, we will consider "dual" versions of the Coxeter group pop-stack sorting operators called Coxeter pop-tsack torsing operators. The discussions of rowmotion for meet-semidistributive lattices and Coxeter pop-tsack torsing are based on joint work with Nathan Williams.

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Event Details

February 15, 2022

4:00pm to 5:00pm

Zoom - https://ubc.zoom.us/j/62676242229?pwd=RURtUC9UYXEweVZTMTNGT1EvY1FLZz09

Vancouver, BC, CA

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  • Seminars