【ハイブリッド開催】東工大数論・幾何学セミナー： Benjamin Collas 氏

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The Zoom URL will be announced in the page below a few minutes before the start of the lecture.
http://www.math.titech.ac.jp/~purkait/AGS/AGSeminarTIT.html#present

講演タイトル: Stack arithmetic of the moduli spaces of curves and universal monodromy representations
アブストラクト: 　Moduli spaces of curves of genus g with m points and their étale fundamental group are endowed with a divisorial inertia (at infinity) and a (local) stack inertia (that is, corresponding to the automorphisms of objects.) The former has been successfully exploited for the study of the absolute Galois group of rational numbers, for example, in terms of Galois/Grothendieck-Teichmüller theory, within Ihara's pro-ℓ program, and in terms of Oda's conjecture on the (g,m)-independance of the fixed field of the pro-ℓ universal monodromy representation (Ihara, Nakamura, Matsumoto et al.).

　This talk will present some arithmetic aspects of the stack inertia of the moduli spaces with, in particular, a formulation, and its proof, of a stack version of Oda's conjecture which is closer in its spirit to Oda's original prediction, and which we show, provides another proof of its original schematic version (jt w/ Philip and Tamagawa).

更新日：2023.05.08

【ハイブリッド開催】東工大 数論・幾何学セミナー： Benjamin Collas 氏