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# Abstract Jessica Fintzen

**Jessica Fintzen** will speak on

**Representations of p-adic groups**

**Abstract:** The Langlands program is a far-reaching collection of conjectures that relate different areas of mathematics including number theory and representation theory. A fundamental problem on the representation theory side of the Langlands program is the construction of all (irreducible, smooth, complex) representations of p-adic groups. I will provide an overview of our understanding of the representations of p-adic groups, with an emphasis on recent progress, and outline some applications.