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DTSTAMP:20210317T200000Z
UID:1615900884781@events.msu.edu
CATEGORIES:Conferences / Seminars / Lectures
DTSTART:20210317T200000Z
DTEND:20210317T205000Z
SUMMARY:Math Seminar Series
DESCRIPTION:
 Combinatorics and Graph Theory\n
 \n
 Stephanie van 
 Willigenburg, University of British Columbia, 
 will be speaking.\n
 \n
 The title is "The e-positivity 
 of chromatic symmetric functions."\n
 \n
 Contact 
 Bruce E Sagan (bsagan@msu.edu) for 
 more information.\n
 \n
 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.\n\n
 Price: free\n
 Sponsor: Department of Mathematics\n
 Sponsor's Homepage: https://www.math.msu.edu/\n
 Contact name: Department of Mathematics\n
 Contact phone: (517) 353-0844\n
 for more info visit the web at:\n 
 https://www.math.msu.edu/Seminars/CalendarView.aspx?month-of=September2016\n
LOCATION:Online via Zoom
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