Are there modern good lecture notes/book about Brill-Noether theory of curves.
Most interesting theorems here are proved via limit linear series, which I found no lecture notes on (instead there is the original paper from the 80's which references several older papers and while well written is hard to read due to this).
The other class of interesting theorems are proved via topicalization methods on which I also haven't found good sources Thanks!
Update--- For future readers, here are some more sources I found good.
https://www.birs.ca/events/2023/5-day-workshops/23w5101/videos (Isaebel's talk- seems to be a very clean modern proof via degeneration, simpler than harris).
Arend bayers k3 brill noether via wall crossing