Let p be a rational prime and q>1 a p-power integer. Drinfeld modular forms are rigid analytic functions on the Drinfeld upper half plane over satisfying a similar transformation condition and holomorphy condition to elliptic modular forms. Though numerical computations suggest that they have interesting p-adic structures, we still have poor understanding of them. In this talk, I will explain how to construct p-adic continuous families of Drinfeld eigenforms of finite slope using Teitelbaum's description of Drinfeld cuspforms via the Steinberg module, and also what we can say about slope zero Drinfeld cuspforms.

 

WebEx Link: https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=m8740457f0848c25a031abff2cb79e3e9

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