The e-positivity of chromatic symmetric functions

Stephanie van Willigenburg (University of British Columbia)

18-Jun-2021, 15:00-16:00 (3 years ago)

Abstract: The chromatic polynomial was generalized to the chromatic symmetric function by Stanley in his seminal 1995 paper. This function is currently experiencing a flourishing renaissance, in particular the study of the positivity of chromatic symmetric functions when expanded into the basis of elementary symmetric functions, that is, e-positivity. In this talk we approach the question of e-positivity from various angles. Most pertinently we resolve the 1995 statement of Stanley that no known graph exists that is not contractible to the claw, and whose chromatic symmetric function is not e-positive.

This is joint work with Soojin Cho, Samantha Dahlberg, Angele Foley and Adrian She, and no prior knowledge is assumed.

commutative algebracombinatoricsrings and algebras

Audience: researchers in the topic

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Comments: Please note that this talk starts at 17:00 (GMT+2) instead of the usual time.


Algebraic and Combinatorial Perspectives in the Mathematical Sciences

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Organizers: Joscha Diehl, Kurusch Ebrahimi-Fard*, Dominique Manchon, Nikolas Tapia*
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