Title: Semi-continuity of total dimension divisors for l-adic sheaves
Speaker: Haoyu Hu (The University of Tokyo)
Time: 2015-12-14, 10:00—11:00
Place: N913
Abstract: Let F be a lisse l-adic sheaf on an open dense subset U of a smooth variety X of characteristic p≠l. Its non-logarithmic ramification along generic points of X_U, which is defined by A. Abbes and T. Saito, gives its total dimension divisor supported on X_U. In this talk, we will show that, in a smooth fibration, the total dimension divisor of the restriction of an l-adic sheaf on fibers is lower semi-continuous. It is a generalization of the same property for relative curves obtained by G. Laumon in 1970’s in the geometric case. This is a joint work with E. Yang.
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