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Title:
Stable Homology and the BKPLR Heuristics Over Function Fields
Speaker:
Abstract:
A basic question in arithmetic statistics is: what does the Selmer group of a random abelian variety look like? This question is governed by the Poonen-Rains heuristics, later generalized by Bhargava-Kane-Lenstra-Poonen-Rains, which predict, for instance, that the mod p Selmer group of an elliptic curve has size p+1 on average. Results towards these heuristics have been very partial but have nonetheless enabled major progress in studying the distribution of ranks of abelian varieties.
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