Two counterexamples arising from infinite sequences of flops

Two counterexamples arising from infinite sequences of flops - John Lesieutre

John Lesieutre
Member, School of Mathematics
October 7, 2014
I will explain how infinite sequences of flops give rise to some interesting phenomena: first, an infinite set of smooth projective varieties that have equivalent derived categories but are not isomorphic; second, a pseudoeffective divisor for which the asymptotic multiplicity along a certain subvariety is infinite, in the relative setting.