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UID:20251123T182910EST-9377d03BXD@132.216.98.100
DTSTAMP:20251123T232910Z
DESCRIPTION:Title: Dynamical degrees of self-maps on abelian varieties.\n\n
 Abstract: There are two natural dynamical invariants associated to this $f
 $\, the $i$-th cohomological dynamical degree $chi_i(f)$ defined by iterat
 ing the pullback action of $f$ on the $i$-th $ell$-adic cohomology vector 
 space of $X$ and the $k$-th numerical dynamical degree $lambda_k(f)$ defin
 ed by the iterated pullback action of $f$ on the real vector space of nume
 rical equivalence classes of codimension-$k$ cycles.\n	\n	Truong conjectured
  that $chi_{2k}(f) = lambda_k(f)$ for $k= 1\, ...\, dim X$.I will discuss 
 this conjecture in the case of abelian varieties.Along the way\, we also o
 btain a new result on the eigenvalues of self-maps of abelian varieties in
  prime characteristic\, which is of independent interest.\n
DTSTART:20191018T150000Z
DTEND:20191018T160000Z
LOCATION:Room PK-5115 \, CA\, Pavillon President-Kennedy
SUMMARY:Fei Hu (University of Waterloo)
URL:/mathstat/channels/event/fei-hu-university-waterlo
 o-301759
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