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Session S09 - Number Theory in the Americas

Thursday, July 15, 15:30 ~ 16:00 UTC-3

Rational points of degree D on a planar curve

Andrew Granville

U. Montreal, Canada   -   This email address is being protected from spambots. You need JavaScript enabled to view it. document.getElementById('cloaka0305c3618c8114324e57f05f644231f').innerHTML = ''; var prefix = '&#109;a' + 'i&#108;' + '&#116;o'; var path = 'hr' + 'ef' + '='; var addya0305c3618c8114324e57f05f644231f = '&#97;nd.gr&#97;nv&#105;ll&#101;' + '&#64;'; addya0305c3618c8114324e57f05f644231f = addya0305c3618c8114324e57f05f644231f + 'gm&#97;&#105;l' + '&#46;' + 'c&#111;m'; var addy_texta0305c3618c8114324e57f05f644231f = '&#97;nd.gr&#97;nv&#105;ll&#101;' + '&#64;' + 'gm&#97;&#105;l' + '&#46;' + 'c&#111;m';document.getElementById('cloaka0305c3618c8114324e57f05f644231f').innerHTML += '<a ' + path + '\'' + prefix + ':' + addya0305c3618c8114324e57f05f644231f + '\'>'+addy_texta0305c3618c8114324e57f05f644231f+'<\/a>';

Given a planar curve C we ask for which integers d are there rational points on the curve in a field of degree d. There is a lot of structure in the set of values d, some of which we will explain in this talk.

Joint work with Lea Beneish (McGill University, Canada).