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UID:ee0ba4d40443f7fa76d152c7d0cd61a0
CATEGORIES:Special Colloquium
CREATED:20211122T111121
SUMMARY:Combinatorial atlas for log-concave inequalities
LOCATION:Zoom 
DESCRIPTION:Abstract: The study of log-concave inequalities for combinatorial objects h
 ave seen much progress in recent years. One such progress is the solution t
 o the strongest form of Mason's conjecture (independently by Anari et. al. 
 and Brándën-Huh). In the case of graphs, this says that the sequence $f_k$ 
 of the number of forests with $k$ edges, form an ultra log-concave sequence
 . In this talk, we discuss an improved version of all these results, proved
  by using a new tool called the combinatorial atlas method. This is a joint
  work with Igor Pak. This talk is aimed at a general audience.\n
X-ALT-DESC;FMTTYPE=text/html:<p>Abstract:&nbsp;The study of log-concave inequalities for combinatorial o
 bjects have seen much progress in recent years. One such progress is the so
 lution to the strongest form of Mason's conjecture (independently by Anari 
 et. al. and Brándën-Huh). In the case of graphs, this says that the sequenc
 e $f_k$ of the number of forests with $k$ edges, form an ultra log-concave 
 sequence. In this talk, we discuss an improved version of all these results
 , proved by using a new tool called the combinatorial atlas method. This is
  a joint work with Igor Pak. This talk is aimed at a general audience.</p>
CONTACT:Swee Hong Chan, UCLA
X-EXTRAINFO:This talk is for the local Rutgers Math Community only.  Zoom links will be
  sent by the Department Chair via email.
DTSTAMP:20260831T081753
DTSTART;TZID=America/New_York:20211129T133000
DTEND;TZID=America/New_York:20211129T143000
SEQUENCE:0
TRANSP:OPAQUE
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