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SUMMARY:Kiran Kedlaya (University of California San Diego)
DTSTART:20220915T190000Z
DTEND:20220915T200000Z
DTSTAMP:20260423T130355Z
UID:MITNT/53
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/53/">T
 he relative class number one problem for function fields</a>\nby Kiran Ked
 laya (University of California San Diego) as part of MIT number theory sem
 inar\n\nLecture held in Room 4-145.\n\nAbstract\nBuilding on my lecture fr
 om ANTS-XV\, we classify extensions of function fields (of curves over fin
 ite fields) with relative class number 1. Many of the ingredients come fro
 m the study of the maximum number of points on a curve over a finite field
 \, such as the function field analogue of Weil's explicit formulas (a/k/a 
 the "linear programming method"). Additional tools include the classificat
 ion of abelian varieties of order 1 and the geometry of moduli spaces of c
 urves of genus up to 7.\n
LOCATION:https://researchseminars.org/talk/MITNT/53/
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