Research Seminars @ Illinois

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Tailored for undergraduate researchers, this calendar is a curated list of research seminars at the University of Illinois. Explore the diverse world of research and expand your knowledge through engaging sessions designed to inspire and enlighten.

To have your events added or removed from this calendar, please contact OUR at ugresearch@illinois.edu

Algebra-Geometry-Combinatorics Seminar

Event Type
Seminar/Symposium
Sponsor
Department of Mathematics
Location
345 Altgeld Hall
Date
Oct 23, 2025   2:00 pm  
Speaker
Foster Tom
Contact
Alexander Yong
E-Mail
ayong@illinois.edu
Originating Calendar
General Events - Department of Mathematics

Speaker: Foster Tom (Dartmouth College)

Title: On the e-positivity of chromatic symmetric functions

Abstract: We describe how the chromatic symmetric function of two graphs glued at a single vertex can be expressed as a matrix multiplication using certain information of the two individual graphs. We then prove new e-positivity results by using a connection between forest triples and Hikita's probabilities associated to standard Young tableaux. We also prove new non-e-positivity results by considering connected partitions of our graph.

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