Abstract:
The dynamical degrees of a rational self-map $f$ of some algebraic variety
$X$ are fundamental invariants describing the rate of growth of the action
of iterates of this map on the cohomology of $X$. When $f$ has nonempty
indeterminacy
set, these quantities can be very difficult to determine because of
non-functoriality of pullbacks under compositions of rational maps. In this
talk we introduce some criterion which generalizes the criteria of
Diller–Favre,
Bedford–Kim, and Dinh–Sibony. We will also discuss some examples in which
the dynamical degree can be calculated explicitly.
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