Timeline for Narratives in modular curves
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Oct 4, 2022 at 19:15 | comment | added | LSpice | I do not know the word 'enfused'. There is a similar word 'infused', which still doesn't seem quite right here; I wonder if you meant "confused and conspire" rather than "enfused and conspire"? Anyway, I edited to 'infused'. Please feel free to correct if that was wrong. | |
| Oct 4, 2022 at 19:14 | history | edited | LSpice | CC BY-SA 4.0 |
enfused -> infused (I think)
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| Oct 4, 2022 at 16:37 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title
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| Dec 2, 2010 at 9:13 | answer | added | Franz Lemmermeyer | timeline score: 6 | |
| Dec 2, 2010 at 8:53 | history | edited | Andrey Rekalo |
Big-picture tag added
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| Dec 2, 2010 at 8:16 | comment | added | S. Carnahan♦ | Minor correction to above comment: Global differentials correspond to weight 2 cusp forms, and differentials with at most log singularities at cusps correspond to weight 2 modular forms. The shift from vanishing of a function to regularity of a differential is basically due to an exponential coordinate change. | |
| Dec 1, 2010 at 23:40 | answer | added | B R | timeline score: 8 | |
| Dec 1, 2010 at 23:39 | comment | added | B R | Just curious: have you looked at Diamond / Shurman "A First Course in Modular Forms"? | |
| Dec 1, 2010 at 22:41 | answer | added | Charles Matthews | timeline score: 4 | |
| Dec 1, 2010 at 21:38 | comment | added | A. Pacetti | The baby case is the following: modular curves are (the completion of) quotients of the upper half plane (an hyperbolic space) by congruence subgroups (special Fuchsian groups). Its differential forms correspond to weight 2 modular forms. Inside the space of modular forms, there are Hecke operators acting, and the eigenvalues for them play a crucial role in the theory. They are in correspondence with Galois representations and geometric objects (elliptic curves or abelian varieties of GL2-type for weight 2). This generalizes in all directions and so do the correspondence (conjecturally). | |
| Dec 1, 2010 at 20:42 | history | asked | Makhalan Duff | CC BY-SA 2.5 |