### Mathematics Colloquium

# Jessica Fintzen

### (University of Michigan)

## "Filtrations of \(p\)-adic groups"

** Date: ** |
Mon, September 4, 2017 |

** Time: ** |
17:15 |

** Place: ** |
Lecture Hall, Research II |

**Abstract:** Filtrations of \(p\)-adic groups play an important role in the representation theory of \(p\)-adic groups. We will introduce \(p\)-adic numbers, \(p\)-adic groups and filtrations thereof defined by Moy and Prasad, and indicate some of their remarkable properties. We will then briefly survey the existing constructions of (supercuspidal) representations of \(p\)-adic groups and conclude with recent developments.

*The colloquium is preceded by tea from 16:45 in the Resnikoff Mathematics Common Room, Research I, 127.*