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Category Theory

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a place to discuss category theory, both applied and theoretical, and any other related things | part of the +mathematics:matrix.org community6 Servers

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2 Oct 2019
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3 Oct 2019
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5 Oct 2019
@hinsley:matrix.orgSmooth ManifoldAnyone taken the Applied Category Theory course on MIT's Opencourseware?19:54:34
@hinsley:matrix.orgSmooth ManifoldI'm thinking of starting it either tonight or tomorrow19:54:41
@thosgood:matrix.orgTimis that the one by Fong and Spivak?19:54:51
@hinsley:matrix.orgSmooth Manifoldyeah19:55:26
@hinsley:matrix.orgSmooth Manifoldmy only experience with cat theory is from using haskell and a cursory knowledge of idris19:55:43
@hinsley:matrix.orgSmooth Manifoldspivak's other course there about "Cat Theory for Scientists" seemed a bit less well-received as far as i could tell19:58:45
@hinsley:matrix.orgSmooth Manifoldim also left wondering if category theory is a field, being new as it is, ripe for further development20:12:22
@hinsley:matrix.orgSmooth Manifoldif it's really so useful as i've seen so far i'd like to do research in it as part of my grad degree20:12:49
@thosgood:matrix.orgTim
In reply to @hinsley:matrix.org
spivak's other course there about "Cat Theory for Scientists" seemed a bit less well-received as far as i could tell
I think that this course (the ACT one) is based on the book that was based on the notes that that course (Cat Theory for Scientists) was based on
20:13:58
@thosgood:matrix.orgTimeither way, I love the ACT book by Fong and Spivak, and I've heard that the course is just as good20:14:16
@thosgood:matrix.orgTim
In reply to @hinsley:matrix.org
im also left wondering if category theory is a field, being new as it is, ripe for further development
there is a lot of development left to do in category theory, but also a lot has been done!
20:14:36
@hinsley:matrix.orgSmooth Manifoldexcellent, thanks tim20:14:53
@thosgood:matrix.orgTim it's really not that modern, as fields go (but, sure, a lot more modern than e.g. complex analysis) 20:14:54
@hinsley:matrix.orgSmooth Manifoldmost of my work as an undergraduate student has been on number theory so i feel like i might enjoy this subject a good bit20:16:29
@thosgood:matrix.orgTimi'm actually really not sure on the categorical approach to number theory, so can't advise any references on that im afraid20:17:05
@thosgood:matrix.orgTim(but would love to hear about any, if anybody else knows!)20:17:13
@hinsley:matrix.orgSmooth Manifoldnah i just mean20:18:36
@hinsley:matrix.orgSmooth Manifoldthe predispositions seem to overlap20:18:52
@thosgood:matrix.orgTimdefinitely20:19:46
@thosgood:matrix.orgTimespecially when you take the algebraic-geometry approach to number theory20:20:00
@hinsley:matrix.orgSmooth Manifoldyes, precisely20:26:49
@hinsley:matrix.orgSmooth Manifoldanalytic approach is sexy too20:27:04
@thosgood:matrix.orgTimthis is something i know zero about20:27:47
@hinsley:matrix.orgSmooth Manifoldriemann! riemann! riemann!20:29:53
6 Oct 2019
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