## STNB2017(31è any)

### The structure of the space of $\Lambda$-adic modular forms.

#### Ponents

Francesc Fité Naya

#### Resum

Cover from [Laf, \S4.3] to [Laf, \S4.6]. That is, show that the the space of $\Lambda$-adic modular forms is free and of finite rank over $\Lambda$. Show also that modular forms can be lifted to $\Lambda$-adic ones. Ordinary Hecke algebra and specialization (as in [Hid86b]).

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