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UID:960630b04cba5d60c45b28755ed201ce
CATEGORIES:Symmetric Functions & Probability Theory Seminar
CREATED:20251028T102122
SUMMARY:Spanning trees and continued fractions
LOCATION:Hill 705
DESCRIPTION:<p>Consider the set of positive integers representing the number of spannin
 g trees in simple graphs with n vertices. How quickly can this set grow as 
 a function of n?&nbsp;In this talk, we discuss a proof of the exponential g
 rowth of this set, which resolves an open problem of Sedlacek from 1966. Th
 e proof uses a connection with continued fractions and advances towards Zar
 emba’s conjecture in number theory. This is joint work with Alex Kontorovic
 h and Igor Pak.</p>
CONTACT:Swee Hong Chan
DTSTAMP:20260827T053832
DTSTART;TZID=America/New_York:20251029T104500
DTEND;TZID=America/New_York:20251029T234500
SEQUENCE:0
TRANSP:OPAQUE
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