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UID:b5f96113f7905900ee4ef16621998cb8
CATEGORIES:Discrete Math
CREATED:20230206T103155
SUMMARY:The Turán number of the grid
LOCATION:Hill Center 705
DESCRIPTION:<p><strong>Abstract:</strong> For a positive integer t, let F_t denote the 
 graph of the t by t grid. Motivated by a 50-year-old conjecture of Erd?s ab
 out Turán numbers of r-degenerate graphs, we prove that there exists a cons
 tant C=C(t) such that ex(n,F_t) &lt; Cn^{3/2}. This bound is tight up to th
 e value of C. Our original proof of this result relied on an intricate argu
 ment using the tensor power trick. In this talk I will present a simplified
  version of the proof. Based on joint work with Oliver Janzer, Benny Sudako
 v and István Tomon.</p>
CONTACT:Domogoj Brada? (ETH Zurich)
DTSTAMP:20260925T001825
DTSTART;TZID=America/New_York:20230206T140000
DTEND;TZID=America/New_York:20230206T150000
SEQUENCE:0
TRANSP:OPAQUE
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