Timeline for Robotics, Cryptography, and Genetics applications of Grothendieck's work?
Current License: CC BY-SA 3.0
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Nov 22, 2014 at 22:44 | history | edited | Vidit Nanda | CC BY-SA 3.0 |
justin, not michael
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Nov 22, 2014 at 15:00 | comment | added | Lennart Meier | @PiyushGrover I've now checked the article by Curry above and also math.upenn.edu/~ghrist/preprints/eulertome.pdf They seem indeed not only to use Cech cohomology, but e.g. higher direct images (and maybe even derived categories in Verdier duality). Furthermore, ideas on Grothendieck topologies and tame topology seem at least to have been an inspiration. | |
Nov 22, 2014 at 12:47 | history | edited | john mangual | CC BY-SA 3.0 |
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Nov 20, 2014 at 4:53 | history | edited | john mangual | CC BY-SA 3.0 |
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Nov 19, 2014 at 18:34 | comment | added | Piyush Grover | @Lennart, some of recent work by Ghrist involves sheaf cohomology. Maybe thats the connection to Grothendieck ? | |
Nov 19, 2014 at 17:37 | comment | added | Lennart Meier | Although this is quite interesting: Where is the influence of Grothendieck here? Grothendieck certainly had important influence on algebraic topology, but not on this kind of algebraic topology. Simplicial complexes, (Cech) (co)homology etc. all existed before Grothendieck became active. | |
Nov 19, 2014 at 17:20 | history | answered | john mangual | CC BY-SA 3.0 |