Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local terms for the categorical trace of Frobenius   The goal of this note is to supply proofs of two theorems stated [AGKRRV],
which deal with the Local Term map for the Frobenius endomorphism of Artin
stacks of finite type over F_q. Namely, we show that the "true local terms" of
the Frobenius endomorphism coincide with the "naive local terms" and that the
"naive local terms" commute with !-pushforwards. The latter result is a
categorical version of the classical Grothendieck-Lefschetz trace formula.

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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph