Alexander Bertoloni Meli (BU)

I will talk about my work in progress with Teruhisa Koshikawa defining a category of cuspidal sheaves on the moduli space of L-parameters for a p-adic group.  Such a category is motivated by the categorical Langlands conjecture of Fargues and Scholze. I will explain the structure of this category and its connection to cuspidal local systems of Lusztig.