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Meta
Monthly Archives: May 2023
Google and Franck
I have a google play (which plays streaming music) and it’s really terrible for classical music. If you choose virtually any piece of classical music and then flip forward three songs you invariably end up with Claire de Lune or … Continue reading
Posted in Music
Tagged Art of Fugue, Bach, Beethoven, Brahms Intermezzi, Cesar Franck, Debussy, Google Play, Wagner
4 Comments
Quadratic Reciprocity
I accidentally proved quadratic reciprocity in class today, or at least three quarters of a proof. Can you finish it off? Here’s the proof: start with a real quadratic field \(K\), and the sequence \(1 \rightarrow \mathcal{O}^{\times}_K \rightarrow K^{\times} \rightarrow … Continue reading
Posted in Mathematics, Teaching
Tagged Class Field Theory, Hilbert Theorem 90, Quadratic Reciprocity
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