Timeline for What is the significance of non-commutative geometry in mathematics?
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Dec 18, 2021 at 2:46 | history | edited | LSpice | CC BY-SA 4.0 |
`\DeclareMathOperator` and link to @AlainValette's answer while this is on the front page
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| Feb 26, 2012 at 12:08 | comment | added | Yemon Choi | Just seen this conversation. Well, Paul, I think we know how you started or will start your marriage proposal... | |
| Feb 14, 2012 at 2:36 | vote | accept | Ehsan M. Kermani | ||
| Feb 13, 2012 at 9:36 | comment | added | Paul Siegel | You're just jealous because you haven't thought of a better pick-up line. :) | |
| Feb 13, 2012 at 1:31 | comment | added | Vaughn Climenhaga | "Before saying anything further, I need to say a few words about the Atiyah-Singer index theorem." Paul, if I had a dollar for every time I've heard you preface something with that sentence, I'd be a very rich man. | |
| Feb 11, 2012 at 20:08 | comment | added | Paul Siegel | @Suvrit: I should have made a disclaimer at the outset of my answer that I am only informed about the analytic and topological aspects of NCG (a la Connes) and not NCAG. My understanding is that NCAG developed largely separately and for different reasons, though I think there are some like Jonathan Block and Ryszard Nest who straddle the line. That said, both areas use a lot of noncommutative algebra; in Connes' approach it enters via Hochschild and cyclic (co)homology. | |
| Feb 11, 2012 at 19:58 | comment | added | Paul Siegel | @Yemon Choi: Thanks for the encouraging words! I can't resist this sort of question... | |
| Feb 11, 2012 at 19:26 | comment | added | Suvrit | Just an ignoramus's question: does noncommutative algebra come in the picture when doing NCG? Is the field called "NC-Algebraic Geometry" flourishing? | |
| Feb 11, 2012 at 18:11 | comment | added | Yemon Choi | Excellent answer - as soon as I saw original question, was hoping you would show up with an answer. | |
| Feb 11, 2012 at 16:48 | comment | added | Nicola Ciccoli | Just to add up something to this nice answer I'd like to mention that (exactly through NC index theorems) NCgeometry contributed much in understanding foliations. Much work is by now devoted to the non commutative geometry of foliations. The idea is that this direction will lead to a better understanding also of singular foliations. | |
| Feb 11, 2012 at 13:36 | history | answered | Paul Siegel | CC BY-SA 3.0 |