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DTSTAMP:20260709T230156Z
SUMMARY:Junior Geometry Seminar – Aliaksandra Novik
DESCRIPTION:Title: A Glimpse into Brill–Noether Theory of Curves\nSpeaker
 : Aliaksandra Novik\n\n\n\n\n\n\nAbstract: Brill–Noether theory is a cla
 ssical subject in algebraic geometry that studies linear series on algebra
 ic curves. Equivalently\, it studies the possible maps of a smooth curve o
 f genus g to projective space Pr of degree d and provides the natural stra
 tification of Picd(C) by the number of sections of line bundles.\nThe subj
 ect goes back to 1874\, when Brill and M. Noether conjectured a precise nu
 merical criterion for the existence of linear series of given degree and d
 imension on a general curve of genus g. In this expository talk\, we will 
 introduce the basic objects of Brill–Noether theory\, state the classica
 l Brill–Noether theorem\, and sketch Lazarsfeld’s proof of it via curv
 es on K3 surfaces. If time permits\, we will also discuss a more modern ap
 proach\, based on work of Bayer using Bridgeland stability conditions.\n\n
 \n\n\n\n\n\n \n\n\n\n\nSome snacks will be provided before and after the 
 talk.\nGo to the seminar main page.\nSubscribe to the mailing list.\n
URL:https://www.imperial.ac.uk/events/211154/junior-geometry-seminar-aliaks
 andra-novik/
DTSTART;TZID=Europe/London:20260626T173000
DTEND;TZID=Europe/London:20260626T183000
LOCATION:Room 140\, Huxley Building\, South Kensington Campus\, Imperial Co
 llege London\, London\, SW7 2AZ\, United Kingdom
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