中科院数学与系统科学研究院

数学研究所

 

数论研讨班

 

 

报告人 教授(北京大学,BICMR

 On Slopes of Mordular Forms

  2019.10.16(星期三),16:30-17:30

  点:晨兴楼110

  要:In this talk, I will survey some recent progress towards understanding the slopes of modular forms, with or without level structures. This has direct application to the conjecture of Breuil-Buzzard-Emerton on the slopes of Kisin's crystabelline deformation spaces. In particular, we obtain certain refined version of the spectral halo conjecture, where we may identify explicitly the slopes at the boundary when given a reducible non-split generic residual local Galois representation. This is a joint work in progress with Ruochuan Liu, Nha Truong, and Bin Zhao.

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