- This event has passed.
PhD Dissertation Defense: Grant Kopitzke
April 23, 2021 @ 1:00 pm - 3:00 pm
Due to the COVID-19 Pandemic, the University has instruction to cancel all in-person events through the Spring semester to adhere to city and state orders limiting public gatherings. Events still running must now take place Online— listed events will include a link in which one may access the Online webspace:
To view Mr. Kopitzke’s defense, enter his Online chatroom via Collaborate Ultra— it will open at 1:00pm on Friday, April 23rd, 2021
The Gini Index in Algebraic Combinatorics and Representation Theory
Mr. Grant Kopitzke
University of Wisconsin-Milwaukee
Dissertator
The Gini index is a number that attempts to measure how equitably a resource is distributed throughout a population, and is commonly used in economics as a measurement of inequality of wealth or income. We will define a Gini index on the set of integer partitions and present a number of original combinatorial results related to it. We will then show that this Gini index can be understood as the degrees of the graded multiplicities of certain representations of the general linear group, and will discuss how this notion can be generalized to other connected reductive algebraic groups.
Committee Members:
Profs. Jeb Willenbring, Allen Bell, Kevin McLeod, Boris Okun, and Yi Ming Zou.
Click here to view the event flyer.