On Fujita's log spectrum conjecture -- 
Gabriele Di Cerbo, September 27, 2013

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I will discuss the problem of stability of
pluricanonical maps. Even though it is a very natural question,
very few     
results are known. I will show how some particular cases of
this problem are related to an old conjecture of Fujita,
usually      
called log spectrum conjecture. Roughly speaking, it says that
the set of pseudo-effective thresholds of polarized pairs has      
only accumulation points from below. I will explain a proof of
this conjecture using recent results in the minimal model          
program.