Are there any good video lectures online discussing algebraic number theory, class field theory, or related topics? Something on the level of the book of Neukirch or Cassels and Frohlich would be preferred.

  • $\begingroup$ If you search for videos with the “secret code” теория полей классов, then you’ll find videos on class field theory, but unless you already knew that code you probably will not get much out of the videos. $\endgroup$ – KCd Jul 13 at 18:21
  • $\begingroup$ Are there ones not taught in Russian? $\endgroup$ – Bryan Shih Jul 15 at 13:25

There are videos from the 2018 edition of the Connecticut Summer School in Number Theory, featuring a lecture series (Minicourse A) by Liang Xiao on "Basic Algebraic Number Theory". Lecture notes and exercises are available at the page linked above, while the video recording is on Youtube. You could also keep an eye on the 2020 edition, which features more minicourses on Number Theory. I hope this is helpful, while answering only part of your question.

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    $\begingroup$ The 2020 videos are already posted. There were no lecture courses on class field theory in that summer school in 2018 or 2020. There was a lecture course on algebraic number theory in 2018 by Liang Xiao. $\endgroup$ – KCd Jul 13 at 18:01
  • $\begingroup$ @KCd, indeed I only picked up the algebraic number theory part of the question. Unfortunately I am not aware of video lectures on class field theory. $\endgroup$ – Aurelio Jul 13 at 18:07
  • $\begingroup$ While this link may answer the question, it is better to include the essential parts of the answer here and provide the link for reference. Link-only answers can become invalid if the linked page changes. - From Review $\endgroup$ – Matt Samuel Jul 13 at 18:14
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    $\begingroup$ Hi Aurelio, by an abuse of the notification system, I would like to notify you about this meta discussion: math.meta.stackexchange.com/q/32110/61691 In short, I think your edit was not correct. Also, I think it would have been better to first ask in the comments when you think there is something wrong. $\endgroup$ – azimut Jul 14 at 10:54
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    $\begingroup$ Hi @azimut. Many thanks for your message and apologies for the wrong edit. Your comment above is the only notification I received, and I am sorry that your previous attempts at pinging me did not work. I answered in the meta discussion you linked. $\endgroup$ – Aurelio Jul 14 at 12:13

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