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SUMMARY:"Beyond positivity"
DTSTART:20170301T141500
DTEND:20170301T151500
DTSTAMP:20260416T181853Z
UID:17e07bdf8792cf988cd6127a6b018d6f5a31a4ec0f1ef547bd05acf7
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr. Karim Adiprasito (Hebrew University Jerusalem) \nThe Hard 
 Lefschetz Theorem's importance extends far beyond algebraic geometry. In p
 articular\, many deceptively simple combinatorial conjectures seem depend 
 on this mysterious theorem\, but are only known to be true if the associat
 ed varieties satisfy the Lefschetz theorem by virtue of the Kaehler packag
 e. For instance\, Gruenbaum conjectured that for any simplicial d-complex 
 X embedded in R^2d\, we have the inequality\n\n(d+2)x #{d-1-dimensional si
 mplices in X} > #{d-dimensional simplices in X} \n\nI will discuss a new 
 way to prove the Lefschetz theorem beyond the availability of Hodge type t
 heorems and address this conjecture and others\, like the McMullen g-conje
 cture.
LOCATION:CIB - BI A0 448 http://plan.epfl.ch/?room=BIA0448
STATUS:CONFIRMED
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