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SUMMARY:Stephanie Chan (University of Michigan)
DTSTART:20210115T133000Z
DTEND:20210115T143000Z
DTSTAMP:20260423T023056Z
UID:zorp_1729/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/zorp_1729/3/
 ">A density of ramified primes</a>\nby Stephanie Chan (University of Michi
 gan) as part of ZORP (zoom on rational points)\n\n\nAbstract\nLet \n$K$\n 
 be a cyclic number field of odd degree over $\\mathbb{Q}$ with odd narrow 
 class number\, such that \n$2$\n is inert in $K/\\mathbb{Q}$. We extend th
 e definition of spin (a special quadratic residue symbol) to all odd ideal
 s in \n$K$\, not necessarily principal. We discuss some of the ideas invol
 ved in obtaining an explicit formula\, depending only on $[K:\\mathbb{Q}]$
 \, for the density of rational prime ideals satisfying a certain property 
 of spins\, conditional on a standard conjecture on short character sums. T
 his talk is based on joint work with Christine McMeekin and Djordjo Milovi
 c.\n
LOCATION:https://researchseminars.org/talk/zorp_1729/3/
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