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Our next talk is on Monday, February 17 at 3:30pm in 2048 CB.

Speaker: Alex Hazeltine

Title: Structures For Local Arthur Packets

Abstract:

A deep conjecture of Langlands is the local Langlands correspondence. It states that (isomorphism classes of) smooth irreducible representations of reductive p-adic groups should be organized into certain collections of finite sets called L-packets. These L-packets should satisfy many important number theoretic and representation theoretic properties. For quasi-split symplectic and orthogonal groups, Arthur established the local Langlands correspondence. A key step in Arthur's argument is to organize some smooth irreducible representations into sets called Arthur packets. Local Arthur packets behave far more mysteriously than L-packets. For example, L-packets partition the set of smooth irreducible representations. In contrast, local Arthur packets are sometimes not disjoint and not every smooth irreducible representation lies in a local Arthur packet. In this talk, we will discuss various methods to organize this chaos. This is based on joint work with Baiying Liu and Chi-Heng Lo. 

Refreshments will be provided. See flyer for further details.