The CohenLenstra moments over function fields
The CohenLenstra moments over function fields

Aaron Landesman, MIT
Lewis 134
The CohenLenstra heuristics are influential conjectures in arithmetic statistics from 1984 which predict the average number of ptorsion elements in class groups of quadratic fields, for p an odd prime. So far, this average number has only been computed for p = 3. In joint work with Ishan Levy, we verify this prediction for arbitrary p over suitable function fields. The key input to the proof is a computation of the stable homology of Hurwitz spaces associated to dihedral groups.
Meeting ID: 920 2195 5230
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