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DTSTART:20230312T070000
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DTSTART:20221106T060000
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DTSTART;TZID=America/Toronto:20231025T150000
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TRANSP:TRANSPARENT
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URL:https://uwaterloo.ca/pure-mathematics/events/algebraic-geometry-working
 -seminar-70
SUMMARY:Algebraic Geometry Working Seminar
CLASS:PUBLIC
DESCRIPTION:CHANGHO HAN\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSITY OF WA
 TERLOO\n\n\"ASPECTS OF GENUS 4 CURVES\"\n\nIf you know several different w
 ays to characterize a given projective\nvariety\, then you can gain knowle
 dge of the properties of this object\nby interconnecting methods involved 
 in different viewpoints. For\nexample\, one can interconnect both algebrai
 c and analytic methods to\nstudy complex elliptic curves\, which could be 
 viewed as either plane\ncubic curves or lattice quotients of a complex pla
 ne. Motivated by\nthis principle\, we will explore various different ways 
 to characterize\na general genus 4 curve\, and then see how those viewpoin
 ts can be\nextended to special genus 4 curves as well. In particular\, I w
 ill show\nthat general genus 4 curves can alternatively be characterized b
 y\ntrigonal maps to projective line\, bidegree (3\,3)-curves in a smooth\n
 quadric surface\, or particular kinds of K3 surfaces. If time remains\,\nt
 hen I will explain how those viewpoints induce birational maps\nbetween co
 rresponding moduli spaces. This talk is based on a pictorial\nportion of j
 oint works in progress with Valery Alexeev\, Anand\nDeopurkar\, and Philip
  Engel.\n\nMC 5417
DTSTAMP:20260605T112724Z
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