- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- BIRS Workshop Lecture Videos /
- An Introduction to Homomesy through Promotion and Rowmotion...
Open Collections
BIRS Workshop Lecture Videos
BIRS Workshop Lecture Videos
An Introduction to Homomesy through Promotion and Rowmotion on Order Ideals Vorland, Corey
Description
Homomesy is a phenomenon in which a statistic on a set under an action has the same average value over any orbit under as its global average. Homomesy results have been discovered among many combinatorial objects, such as order ideals of posets and various tableaux. In this talk, I will give a brief introduction to homomesy and explore some of these results. The main emphasis will be Propp and Robyâ s homomesy results on order ideals of a product of two chains poset under rowmotion and promotion, along with my own results on order ideals of a product of three chains.
Item Metadata
Title |
An Introduction to Homomesy through Promotion and Rowmotion on Order Ideals
|
Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
Date Issued |
2020-10-19T10:00
|
Description |
Homomesy is a phenomenon in which a statistic on a set under an action has the same average value over any orbit under as its global average. Homomesy results have been discovered among many combinatorial objects, such as order ideals of posets and various tableaux. In this talk, I will give a brief introduction to homomesy and explore some of these results. The main emphasis will be Propp and Robyâ s homomesy results on order ideals of a product of two chains poset under rowmotion and promotion, along with my own results on order ideals of a product of three chains.
|
Extent |
27.0 minutes
|
Subject | |
Type | |
File Format |
video/mp4
|
Language |
eng
|
Notes |
Author affiliation: Marian University
|
Series | |
Date Available |
2021-04-18
|
Provider |
Vancouver : University of British Columbia Library
|
Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
DOI |
10.14288/1.0396755
|
URI | |
Affiliation | |
Peer Review Status |
Unreviewed
|
Scholarly Level |
Faculty
|
Rights URI | |
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International