What are...TQFTs? - EachAmps Songs Downloader

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Name	What are...TQFTs?
Video Uploader	Video From VisualMath
Upload Date	This Video Uploaded At 19-03-2022 22:00:15
Video Discription	Goal. Explaining basic concepts of category theory in an intuitive way. This time. What are...TQFTs? Or: Applications 1 (category theory in mathematics). Disclaimer. Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references. Disclaimer. The distinction between “large classes” and “small classes (sets)” turns out is crucial for many categorical considerations, but somehow makes the language more cumbersome without too much gain imho. So I will strategically ignore all set-theoretical issues. Slides. http://www.dtubbenhauer.com/youtube.html Website with exercises. http://www.dtubbenhauer.com/lecture-ct-2022.html Cobordisms. https://en.wikipedia.org/wiki/Cobordism https://ncatlab.org/nlab/show/cobordism https://ncatlab.org/nlab/show/cobordism+theory TQFTs. https://en.wikipedia.org/wiki/Topological_quantum_field_theory https://ncatlab.org/nlab/show/topological+quantum+field+theory Monoidal categories. https://en.wikipedia.org/wiki/Monoidal_category https://nlab-pages.s3.us-east-2.amazonaws.com/nlab/show/monoidal+category https://ocw.mit.edu/courses/mathematics/18-769-topics-in-lie-theory-tensor-categories-spring-2009/lecture-notes/MIT18_769S09_lec01.pdf https://www.dtubbenhauer.com/qinvariants.pdf Symmetric categories. https://en.wikipedia.org/wiki/Symmetric_monoidal_category https://ncatlab.org/nlab/show/symmetric+monoidal+category Pictures used. https://torgeiraamboe.github.io/posts/2021/complex-cobordism-cohomology/images/Cobordism.png https://en.wikipedia.org/wiki/Torus#/media/File:Torus.svg Pictures from https://arxiv.org/pdf/0905.3010.pdf Some books I am using (I sometimes steal some pictures from there). https://en.wikipedia.org/wiki/Categories_for_the_Working_Mathematician https://www.cambridge.org/core/books/an-introduction-to-category-theory/38C6B02892C2FE7408F52975756AC88D http://www.tac.mta.ca/tac/reprints/articles/17/tr17.pdf https://math.mit.edu/~dspivak/teaching/sp18/7Sketches.pdf https://math.jhu.edu/~eriehl/context.pdf https://github.com/hmemcpy/milewski-ctfp-pdf Nlab. https://ncatlab.org/nlab/show/HomePage TheCatsters. https://www.youtube.com/channel/UC5Y9H2KDRHZZTWZJtlH4VbA Mathematica. https://wildcatsformma.wordpress.com/ #categorytheory #categoricalalgebra #mathematics qyd2XMCaaCk
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What are...TQFTs? [qyd2XMCaaCk]

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