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Atrium > Mathematics, Physics & Philosophy: Request for personal web area

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  1. To the steering committee

    Could you please provide me with a personal web area where to post and discuss work in progress?

    Thanks

    Domenico
    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeDec 17th 2009

    Thanks.

    We are just waiting for all "steering committee" members to get back to us. We'll let you know in a short while.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeDec 19th 2009
    • (edited Dec 19th 2009)

    Dear Domenico,

    we are going to create a personal web for you. For that, we need to know which setting you want. There are not many choices available, but some.

    For that, please go to any one of the existing public personal webs, to its home page, and click on the link "Edit web" that you see there. This presents you with a form that asks for your preferences.

    You cannot edit this form, but you should please look at what it asks for (most important thing being the privacy settings) and then please email the desried settings to Andrew Stacey. He will then create the lab for you.

    • CommentRowNumber4.
    • CommentAuthorTobyBartels
    • CommentTimeDec 19th 2009
    • CommentRowNumber5.
    • CommentAuthorAndrew Stacey
    • CommentTimeDec 21st 2009

    Web created. It's at HomePage (domenicofiorenza)

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeDec 21st 2009

    I added some hyperlinks to Domenico's text at HomPage (domenicofiorenza):

    Domenico, please let me know if you'd rather not have me do such cosmetic edits on your web in the future.

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeDec 21st 2009

    I am excited about your (Domenico's) research project stated there, re elliptic cohomology in terms of extended conformal field theory. Do you have material on that beyond what Stolz-Teichner talk about?

    One curious aspect is missing from all proposed geometric models for elliptic cohomology so far (e.g.: Baas-Dundas-Rognes, Stolz-Teichner): the elliptic curve!

    In none of these approaches is it currently evident how we are supposed to geometrically model a collection of theories that are parameterized by elliptic curves. (Would you agree?)

    I know of one proposal of what the elliptic curve appearing in elliptic cohomology should have as an incarnation, geometrically: that's the work by Kriz and Sati. They provide evidence that in as far as K-theory is geoemtrically modeled by D-branes in type II string backgrounds, it is the F-theory torus that is the elliptic curve which identifies the corresponding elliptic cohomology (which should somehow have the NS 5-branes as charges the way K-theory has the D-branes as charges). This identification is probably to be described as comparatively vague (compared to mathematical standards, not much more vague than then physical interpretation of D-branes in terms of K-theory was in the beginning), but it is so far the best I have seen.

  8. I'm glad you like the project. Actually I'm still very confused about it, and that's why I'd like to investigate the 0th and 1st case first, namely integral cohomology and K-theory.

    As far as concerns the missing elliptic curve, I agree: at least apparently in elliptic cohomology a la Stolz-Teichner there seems not to be an elliptic curve "at the beginning of everything" as in the "formal group to cohomology" approach, and a string theory approach could shed some light (unfortunately I'm not confident enough with F-theory to see the details of this).

    Thanks for the editings! :)

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