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Tian An
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I agree with @kimball's suggestions. The first thing to do is to get a handle on what it looks like for GL(2), then upgrade to general $G$ only as needed. For a basic introductory references, starting with Knapp's Theoretical Aspects of the Trace Formula for GL(2) and Gelbart's Lectures on the Arthur–Selberg Trace Formula. Then depending on your needs, I find Arthur's own An Introduction to the Trace Formula (MSNAn Introduction to the Trace Formula) an excellent guide to his own work for the general case.

I agree with @kimball's suggestions. The first thing to do is to get a handle on what it looks like for GL(2), then upgrade to general $G$ only as needed. For a basic introductory references, starting with Knapp's Theoretical Aspects of the Trace Formula for GL(2) and Gelbart's Lectures on the Arthur–Selberg Trace Formula. Then depending on your needs, I find Arthur's own An Introduction to the Trace Formula (MSN) an excellent guide to his own work for the general case.

I agree with @kimball's suggestions. The first thing to do is to get a handle on what it looks like for GL(2), then upgrade to general $G$ only as needed. For a basic introductory references, starting with Knapp's Theoretical Aspects of the Trace Formula for GL(2) and Gelbart's Lectures on the Arthur–Selberg Trace Formula. Then depending on your needs, I find Arthur's own An Introduction to the Trace Formula an excellent guide to his own work for the general case.

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LSpice
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I agree with @kimball's suggestionssuggestions. The first thing to do is to get a handle on what it looks like for GL(2), then upgrade to general $G$ only as needed. For a basic introductory references, starting with Knapp's Theoretical Aspects of the Trace Formula for GL(2)Theoretical Aspects of the Trace Formula for GL(2) and Gelbart's Lectures on the Arthur-Selberg Trace FormulaLectures on the Arthur–Selberg Trace Formula. Then depending on your needs, I find Arthur's own IntroductionAn Introduction to the Trace Formula (MSN) an excellent guide to his own work for the general case.

I agree with @kimball's suggestions. The first thing to do is to get a handle on what it looks like for GL(2), then upgrade to general $G$ only as needed. For a basic introductory references, starting with Knapp's Theoretical Aspects of the Trace Formula for GL(2) and Gelbart's Lectures on the Arthur-Selberg Trace Formula. Then depending on your needs, I find Arthur's own Introduction to Trace Formula an excellent guide to his own work for the general case.

I agree with @kimball's suggestions. The first thing to do is to get a handle on what it looks like for GL(2), then upgrade to general $G$ only as needed. For a basic introductory references, starting with Knapp's Theoretical Aspects of the Trace Formula for GL(2) and Gelbart's Lectures on the Arthur–Selberg Trace Formula. Then depending on your needs, I find Arthur's own An Introduction to the Trace Formula (MSN) an excellent guide to his own work for the general case.

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Tian An
  • 3.8k
  • 17
  • 36

I agree with @kimball's suggestions. The first thing to do is to get a handle on what it looks like for GL(2), then upgrade to general $G$ only as needed. For a basic introductory references, starting with Knapp's Theoretical Aspects of the Trace Formula for GL(2) and Gelbart's Lectures on the Arthur-Selberg Trace Formula. Then depending on your needs, I find Arthur's own Introduction to Trace Formula an excellent guide to his own work for the general case.