Speaker: Jessica Striker (North Dakota State University)

Title: Toggling, rowmotion, and homomesy on interval-closed sets

Abstract: Interval-closed sets of a poset are a natural superset of order ideals. We initiate the study of interval-closed sets of finite posets from enumerative and dynamical perspectives. In particular, we use the generalized toggle group to define rowmotion on interval-closed sets as a product of these toggles. Our main theorem is an intricate global characterization of rowmotion on interval-closed sets, which we show is equivalent to the toggling definition. We also study specific posets, proving further results about enumeration and homomesy. This is joint work with Jennifer Elder, Nadia Lafreniere, Erin McNicholas, and Amanda Welch.

Science Learning Center (SLC), 1.204
800 W. Campbell Road, Richardson, Texas 75080-3021

Natural Sciences & Mathematics
Nathan Williams
Email

UTD strives to create inclusive and accessible events in accordance with the Americans with Disabilities Act (ADA). If you require an accommodation to fully participate in this event, please contact the event coordinator (listed above) at least 10 business days prior to the event. If you have any additional questions, please email ADACoordinator@utdallas.edu and the AccessAbility Resource Center at accessability@utdallas.edu.

Event Publishing

Add an Event 

Submit your own event using our simple event submission form. It only takes a minute!

Event Publisher Training 

Learn best practices to maximize the calendar’s latest features.

Make a Calendar Feed 

Embed events anywhere on the web with our widget builder.

Explore Comet Calendar

Events by Email

Get a personalized list of events in your inbox with our digest emailer.

30-second Survey

Share your feedback and suggestions on how we can improve the Comet Calendar.

The University of Texas at Dallas