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UID:2bcb3e425d870f1d293868fe2bb4e6c8
CATEGORIES:Discrete Math
CREATED:20240923T170000
SUMMARY:Matt Larson - Signed permutohedra
LOCATION:Hill 705
DESCRIPTION:Speaker: Matt Larson (https://mattlarson2399.github.io/) (Princeton/IAS)\nT
 itle: Signed permutohedra\nAbstract: Postnikov has shown that generalized p
 ermutohedra, polytopes whose edges are parallel to vectors of the form e_i 
 - e_j, have remarkable formulas for their volumes and lattice point counts.
  Additionally, generalized permutohedra can be written as signed Minkowski 
 sums of simplices. I will discuss a generalization of these results to sign
 ed generalized permutohedra, polytopes whose edges are parallel to vectors 
 of the form e_i - e_j, e_i + e_j, or e_i. Joint work with Chris Eur, Alex F
 ink, and Hunter Spink.\n
X-ALT-DESC;FMTTYPE=text/html:<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://mattlarson2399.github.io/" style="t
 ext-decoration: none;"><span style="font-size: 11pt; font-family: Lato; col
 or: #cc0000; background-color: transparent; font-weight: 400; font-style: n
 ormal; font-variant: normal; text-decoration: underline; vertical-align: ba
 seline; white-space: pre-wrap;">Matt Larson</span></a><span style="font-siz
 e: 11pt; font-family: Lato; color: #000000; background-color: transparent; 
 font-weight: 400; font-style: normal; font-variant: normal; text-decoration
 : none; vertical-align: baseline; white-space: pre-wrap;"> (Princeton/IAS)<
 /span></p><p dir="ltr" style="line-height: 1.38; margin-top: 9pt; margin-bo
 ttom: 10pt;"><span style="font-size: 11pt; font-family: Lato; color: #00000
 0; background-color: transparent; font-weight: bold; font-style: normal; fo
 nt-variant: normal; text-decoration: none; vertical-align: baseline; white-
 space: pre-wrap;">Title</span><span style="font-size: 11pt; font-family: La
 to; color: #000000; background-color: transparent; font-weight: 400; font-s
 tyle: normal; font-variant: normal; text-decoration: none; vertical-align: 
 baseline; white-space: pre-wrap;">: Signed permutohedra</span></p><p dir="l
 tr" style="line-height: 1.38; margin-top: 9pt; margin-bottom: 0pt;"><span s
 tyle="font-size: 11pt; font-family: Lato; color: #000000; background-color:
  transparent; font-weight: bold; font-style: normal; font-variant: normal; 
 text-decoration: none; vertical-align: baseline; white-space: pre-wrap;">Ab
 stract</span><span style="font-size: 11pt; font-family: Lato; color: #00000
 0; background-color: transparent; font-weight: 400; font-style: normal; fon
 t-variant: normal; text-decoration: none; vertical-align: baseline; white-s
 pace: pre-wrap;">: Postnikov has shown that generalized permutohedra, polyt
 opes whose edges are parallel to vectors of the form e_i - e_j, have remark
 able formulas for their volumes and lattice point counts. Additionally, gen
 eralized permutohedra can be written as signed Minkowski sums of simplices.
  I will discuss a generalization of these results to signed generalized per
 mutohedra, polytopes whose edges are parallel to vectors of the form e_i - 
 e_j, e_i + e_j, or e_i. Joint work with Chris Eur, Alex Fink, and Hunter Sp
 ink.</span></p>
DTSTAMP:20260828T094306
DTSTART;TZID=America/New_York:20240930T140000
DTEND;TZID=America/New_York:20240930T150000
SEQUENCE:0
TRANSP:OPAQUE
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