BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Kazhdan–Lusztig functions and Chow functions of partially ordere
 d sets [Oberseminar Darstellungstheorie]
DTSTART:20250620T120000Z
DTEND:20250620T130000Z
DTSTAMP:20260308T051000Z
UID:indico-event-524@math-events.uni-bonn.de
DESCRIPTION:Speakers: Jacob Matherne (NC State University)\n\nThree decade
 s ago\, Stanley and Brenti initiated the study of the Kazhdan–Lusztig–
 Stanley (KLS) functions.  Roughly\, they showed how to associate a KLS fu
 nction to any poset\, thus putting on common ground three important exampl
 es: the classical Kazhdan–Lusztig polynomials of Coxeter groups\, the ma
 troidal Kazhdan–Lusztig polynomials\, and the toric g-polynomials of pol
 ytopes.  In this talk\, we will recall the KLS story with a focus on thes
 e three important examples.We will also develop a theory that parallels th
 e KLS theory by associating a so-called Chow function to any poset.  In t
 he three respective examples above\, the Chow function enumerates paths in
  the Bruhat graph according to a descent-like statistic\, is the Hilbert s
 eries of the Chow ring of a matroid (hence the name "Chow function")\, and
  is the h-polynomial of the barycentric subdivision of the poset.  We wil
 l explore the relation between the KLS and Chow functions\, and illustrate
  how one can build upon intuition from one setting (say\, polytopes) and u
 se it in another (say\, Coxeter groups).  Based on joint works with Luis 
 Ferroni and Lorenzo Vecchi\, as well as with Tom Braden\, June Huh\, Nicho
 las Proudfoot\, and Botong Wang.\n\nhttps://math-events.uni-bonn.de/event/
 524/
LOCATION:1.008 (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/524/
END:VEVENT
END:VCALENDAR