more on "Transalgebraic Theories" (a 19th century yoga)?

more on “Transalgebraic Theories” (a 19th century yoga)?

Among the talks at occasion of the Galois Bicentennial, one is about "Transalgebraic Theories". Unfortunately I found only this article describing that fascinating idea as " an extremely powerful 'philosophical' principle that some mathematicians of the XIXth century seem to be well aware of. In general terms we would say that analytically unsound manipulations provide correct answers when they have an underlying transalgebraic background." Do you know more?

Edit: This text tells a few words more (e.g. "This philosophy can be linked to Kronecker’s ”Judgendtraum” and Hilbert’s twelfth problem, which seems to have remained largely misunderstood.") and refers to a manuscript "Transalgebraic Number Theory". Has someone a copy?

edited Nov 2 2011 at 11:11

asked Oct 23 2011 at 10:08

Thomas Riepe
5,897●1●24●56

here is the abstract of that talk: "Galois' visions contained in his brouillons and manuscripts goes far beyond the classical algebraic and differential Galois Theory. The goal pursued by Galois was to classify not only algebraic numbers and functions, but also transcendental ones. This philosophy goes far beyond our actual knowledge. We will present some elements of transalgebraic function field theory, as well as transalgebraic applications to the theory of Riemann zeta function." – mt Oct 23 2011 at 11:22

Thanks, Mattew! That makes one even more curious. I have not yet read the article linked to above and made my mind about it, but it looks as if there should be connections to periods, motives, F_un, etc. (?) – Thomas Riepe Oct 23 2011 at 11:54

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