2023-07-26 |
13:00-14:00 |
2023-07-26,13:00-14:00 | LR11 (A7 2F) |
07-26 Afternoon Math Lecture Room 11 (A7 2F)
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Speaker |
Rank-2 motivic local systems on the complex projective line removing 4-points. This is a joint work with Jinbang Yang. We construct infinitely many abelian schemes of GL_2-type on the projective line with bad reductions on given 4-punctures of type-(1/2)_\infty. The method relies on p-adic Hodge theory and Langlands correspondence over function field of characteristic p. Recently Lin-Sheng-Wang solved a conjecture by Sun-Yang-Zuo on torsionness of zeros of Kodaira-Spencer maps of those type abelian schemes. Based on their solution of this conjecture we give a complete classification of those abelian schemes.
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