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Theoretical issues and applications of the Selberg, Arthur and relative trace formulas

17 votes
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Using the Eichler-Selberg Trace formula to compute class numbers?

Generally speaking, formulas like the trace formula admit an uncertainty principle: To obtain an identity where one side is highly concentrated (e.g. a sum over a small number of class numbers, or eve …
Will Sawin's user avatar
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16 votes
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What is the matter with Hecke operators?

If $K$ is a local field and $\mathcal O$ is its ring of integers, we say an irreducible representation of $G(K)$ is unramified if it contains a vector invariant under $G(\mathcal O)$. It is known that …
Desiderius Severus's user avatar