01/27/2025 – Eric Riedl and Neil Nicholson: Academic Job Panel
Abstract: Eric Riedl and Neil Nicholson will give a brief introduction to their respective path to an academic job. After this there will be time for questions and open-ended discussions regarding the job-finding process.
02/03/2025 – Chase Bender: A General Polarization Identity
Abstract: We prove a generalization of the polarization identity of linear algebra expressing
the inner product of a complex inner product space in terms of the norm, where the
field of scalars is extended to an associative algebra equipped with an involution,
and polarization is viewed as an averaging operation over a compact multiplicative
subgroup of the scalars. Using this we prove a general form of the Jordan-von
Neumann theorem on characterizing inner product spaces among normed linear
spaces, when the scalars are taken in an associative algebra.
02/10/2025 – Fuxiang Yang: TBA
Abstract:
02/24/2025 – Juan Ramirez: TBA
Abstract:
03/03/2025 – Joshua Lehman: The Arf Invariant
Abstract:
03/17/2025 – Samuel Heard: TBA
Abstract: