We meet (almost) every Friday from 3:30 to 5:30 pm in Blocker 628. You can find the precise schedule of the seminar along with topics covered below. You can find the notes used for the seminar here (last updated: 4/25/2025).
Next talk will be on: TBA
Weekly schedule
Date Presenter Topics covered
2/7/2025 Michalis Properties of locally compact groups, preliminaries to the proof of the existence and uniqueness of the Haar measure.
2/14/2025 Michalis Proof of the existence and uniqueness of Haar measure for locally compact groups.
2/21/2025 Michalis Properties of profinite groups and pro-p-groups and examples.
2/28/2025 Ozan First spectral theorem for normal operators, motivation and consequences, connection with irreducible unitary representations.
3/7/2025 Ozan Proof of the first spectral theorem and its consequences.
3/21/2025 Michalis The Pontryagin dual of a group and elementary functions.
3/28/2025 Michalis The Fourier transform, Fourier inversion formula, Plancherel's Theorem, Parseval's identity and Pontryagin duality.
4/11/2025 Ozan The module of an automorphism on a locally compact field.
4/18/2025 Ozan Classification of locally compact nondiscrete fields.
4/25/2025 Michalis Extensions of local fields, absolute values and completions of global fields.