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Explicit Plancherel Measures and Counting L-functions  

David Roberts, University of Minnesota Morris
Tuesday, October 30, 2018 - 11:00am to 12:00pm
PDL C-401
We summarize the theory of Plancherel measures for real groups in a way which makes direct connections with L-functions through their gamma factors.  These measures give a "first guess" as to how many L-functions there should be with certain numerical invariants.  We compare the theory with L-functions which are currently on the LMFDB and discuss places where the Plancherel theory suggests to look for more L-functions with small conductor.
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