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UID:20251113T230722EST-1014E40GVe@132.216.98.100
DTSTAMP:20251114T040722Z
DESCRIPTION:Title: Primes of the form x²+dy² and interactions of class grou
 ps\n\nAbstract: The form x²+y² covers ½ of the primes\, while the forms x²
 +y²\, x²+2y² cover ¾ of them. In this talk\, we will show that the proport
 ion of primes covered by the forms x²+dy²\, 1 ≤ d ≤ Δ\, is\n\n1 - exp((α(Δ
 ) + o(1)) √Δ / log Δ)\n\nfor some 7π/12 ≤ α(Δ) ≤ 7π/12 + log 4. Furthermor
 e\, inspired by a result of Kaplansky\, we prove that any prime covered by
  two of the forms\n\nx²+17y²\, x²+65y²\, x²+1105y²\n\nis actually covered 
 by all three. We establish these results by studying how class groups of q
 uadratic fields interact.\n\nLocation:Concordia University LB 921-04 \n
DTSTART:20251121T000000Z
DTEND:20251121T013000Z
SUMMARY:João Campos Vargas (Stanford University)
URL:/biology/channels/event/joao-campos-vargas-stanfor
 d-university-368802
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