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東工大数論・幾何学セミナー：加藤大輝氏

講演タイトル: On a weight monodromy conjecture over a higher dimensional base
アブストラクト: 　A weight monodromy conjecture over a higher dimensional base is formulated for a "semistable" family parameterized by a regular scheme, that is, a smooth proper family of varieties which degenerates log smoothly along a divisor with simple normal crossings. When the base scheme is a variety over a finite field, the conjecture follows from results of Weil II. In this talk, I will discuss a proof of the conjecture in a case of relative curves, in which we use the weight spectral sequence of Rapoport-Zink to argue by induction on the dimension on the base.

更新日：2019.04.24