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BEGIN:VEVENT
UID:ec71537fb9a8afa0218a240230cc49dd
CATEGORIES:Graduate Student Combinatorics Seminar Sponsored by DIMACS
CREATED:20250310T101055
SUMMARY:Covering the hypercube with hyperplanes
LOCATION:HLL-701
DESCRIPTION:
CONTACT:Caleb Fong
X-EXTRAINFO:Abstract:\nThe n-dimensional Boolean hypercube Q_n can be easily covered wi
 th 2 hyperplanes. If you add the additional restriction that exactly one po
 int must remain uncovered, it takes some work to show—as Alon and Furedi di
 d in 1993—that you need at least n hyperplanes to cover the rest. We will s
 ee the quick Combinatorial Nullstellensatz proof of this result, along with
  some more recent work on k-fold hyperplane covers of the hypercube (minus 
 a point) due to Alexander Clifton and Hao Huang in 2019. 
DTSTAMP:20260827T025759
DTSTART;TZID=America/New_York:20250312T121500
DTEND;TZID=America/New_York:20250312T131500
SEQUENCE:0
TRANSP:OPAQUE
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