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How to trace formula title

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[Music] so my rough plan for the two talks is the following i wanted to discuss first the trace formula and its stabilization for anisotropic reductive groups the point being that there are no analytic issues that arise so hopefully were going to see the structure quite clearly in this situation and then i want to do the same for g general and this will necessarily have to be somewhat impressionistic im going to try to give you in broad strokes the various steps uh so that you can you then have somewhat of a roadmap and you can go and study in detail each one of the steps in the notes ive given more detail about these steps but of course i havent fully explained them but ive given references to places that explain it more so you can kind of do an alice in wonderland type situation where you dive as deep as you want hopefully there will be enough breadcrumbs there and then the third part i hope ill get to it is an application of all of this because there was the fair question at

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What is the formula of Eichler Selberg trace?

= 2 f f (x - iy - Z)-k f(x + iy)yk-2 dx dy.

What is Arthur local trace formula?

In mathematics, the local trace formula (Arthur 1991) is a local analogue of the ArthurSelberg trace formula that describes the character of the representation of G(F) on the discrete part of L2(G(F)), for G a reductive algebraic group over a local field F.

What is the trace formula?

In mathematics, the Selberg trace formula, introduced by Selberg (1956), is an expression for the character of the unitary representation of a Lie group G on the space L2(\G) of square-integrable functions, where is a cofinite discrete group. The character is given by the trace of certain functions on G.

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