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BEGIN:VEVENT
UID:0455360ff312094de08d61c239a0e956
CATEGORIES:Discrete Math
CREATED:20241204T155006
SUMMARY:Luis Ferroni - Chow functions for partially ordered sets
LOCATION:Hill 705
DESCRIPTION:<p dir="ltr" style="line-height: 1.38; margin-top: 9pt; margin-bottom: 0pt;
 "><span style="font-size: 11pt; font-family: Lato; color: #000000; backgrou
 nd-color: transparent; font-weight: bold; font-style: normal; font-variant:
  normal; text-decoration: none; vertical-align: baseline; white-space: pre-
 wrap;">Speaker: </span><a href="https://sites.google.com/view/ferroniluis" 
 style="text-decoration: none;"><span style="font-size: 11pt; font-family: L
 ato; color: #cc0000; background-color: transparent; font-weight: 400; font-
 style: normal; font-variant: normal; text-decoration: underline; vertical-a
 lign: baseline; white-space: pre-wrap;">Luis Ferroni</span></a><span style=
 "font-size: 11pt; font-family: Lato; color: #000000; background-color: tran
 sparent; font-weight: 400; font-style: normal; font-variant: normal; text-d
 ecoration: none; vertical-align: baseline; white-space: pre-wrap;"> (IAS)</
 span></p><p dir="ltr" style="line-height: 1.38; margin-top: 9pt; margin-bot
 tom: 10pt;"><span style="font-size: 11pt; font-family: Lato; color: #000000
 ; background-color: transparent; font-weight: bold; font-style: normal; fon
 t-variant: normal; text-decoration: none; vertical-align: baseline; white-s
 pace: pre-wrap;">Title</span><span style="font-size: 11pt; font-family: Lat
 o; color: #000000; background-color: transparent; font-weight: 400; font-st
 yle: normal; font-variant: normal; text-decoration: none; vertical-align: b
 aseline; white-space: pre-wrap;">: Chow functions for partially ordered set
 s</span></p><p dir="ltr" style="line-height: 1.38; margin-top: 9pt; margin-
 bottom: 0pt;"><span style="font-size: 11pt; font-family: Lato; color: #0000
 00; background-color: transparent; font-weight: bold; font-style: normal; f
 ont-variant: normal; text-decoration: none; vertical-align: baseline; white
 -space: pre-wrap;">Abstract</span><span style="font-size: 11pt; font-family
 : Lato; color: #000000; background-color: transparent; font-weight: 400; fo
 nt-style: normal; font-variant: normal; text-decoration: none; vertical-ali
 gn: baseline; white-space: pre-wrap;">: </span><span style="font-size: 11pt
 ; font-family: Lato; color: #242424; background-color: transparent; font-we
 ight: 400; font-style: normal; font-variant: normal; text-decoration: none;
  vertical-align: baseline; white-space: pre-wrap;">In a landmark paper in 1
 992, Stanley developed the foundations of what is now known as the Kazhdan-
 -Lusztig--Stanley (KLS) theory. To each kernel in a graded poset, he associ
 ates special functions called KLS polynomials. This unifies and puts a comm
 on ground for i) the Kazhdan--Lusztig polynomial of a Bruhat interval in a 
 Coxeter group, ii) the toric g-polynomial of a polytope, iii) the Kazhdan-L
 usztig polynomial of a matroid. In this talk I will introduce a new family 
 of functions, called Chow functions, that encode various deep cohomological
  aspects of the combinatorial objects named before. In the three settings m
 entioned before, the Chow function describes i) a descent-like statistic en
 umerator for paths in the Bruhat graph, ii) the enumeration of chains of fa
 ces of the polytope, iii) the Hilbert series of the matroid Chow ring. This
  is joint work with Jacob P. Matherne and Lorenzo Vecchi.</span></p>
DTSTAMP:20260829T151910
DTSTART;TZID=America/New_York:20241209T140000
DTEND;TZID=America/New_York:20241209T150000
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