BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//University of Utah Math Department//Twelve points on the projective line. Abstract: There are many ways to geometrically define a (PGL(2)-invariant) divisor in the variety of "12 points in P^1", Sym^{12}(P^1), isomorphic to P^{12}. For example: the 12 nodal cubics in a pencil of plane cubics; the branch points of a degree 4 map of a genus 3 hyperelliptic curve to P^1; the branch points of a genus 3 curve mapped to P^1 by the canonical sheaf; the branch points of a genus 4 curve mapped to P^1 by a theta-characteristic. We'll see that these divisors (and others) are all the same, by showing that the corresponding moduli spaces are covers of others. The links involve various beautiful classical constructions.//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
X-WR-CALNAME:Twelve points on the projective line. Abstract: There are many ways to geometrically define a (PGL(2)-invariant) divisor in the variety of "12 points in P^1", Sym^{12}(P^1), isomorphic to P^{12}. For example: the 12 nodal cubics in a pencil of plane cubics; the branch points of a degree 4 map of a genus 3 hyperelliptic curve to P^1; the branch points of a genus 3 curve mapped to P^1 by the canonical sheaf; the branch points of a genus 4 curve mapped to P^1 by a theta-characteristic. We'll see that these divisors (and others) are all the same, by showing that the corresponding moduli spaces are covers of others. The links involve various beautiful classical constructions.
X-WR-CALDESC:Twelve points on the projective line. Abstract: There are many ways to geometrically define a (PGL(2)-invariant) divisor in the variety of "12 points in P^1", Sym^{12}(P^1), isomorphic to P^{12}. For example: the 12 nodal cubics in a pencil of plane cubics; the branch points of a degree 4 map of a genus 3 hyperelliptic curve to P^1; the branch points of a genus 3 curve mapped to P^1 by the canonical sheaf; the branch points of a genus 4 curve mapped to P^1 by a theta-characteristic. We'll see that these divisors (and others) are all the same, by showing that the corresponding moduli spaces are covers of others. The links involve various beautiful classical constructions. at University of Utah Mathematics Department
X-WR-TIMEZONE:America/Denver
BEGIN:VEVENT
UID:19990407T153000-ravi-vakil@math.utah.edu
DTSTART;TZID=America/Denver:19990407T153000
DTEND;TZID=America/Denver:19990407T163000
DTSTAMP:20260925T144333Z
SUMMARY:Twelve points on the projective line. Abstract: There are many ways to geometrically define a (PGL(2)-invariant) divisor in the variety of "12 points in P^1", Sym^{12}(P^1), isomorphic to P^{12}. For example: the 12 nodal cubics in a pencil of plane cubics; the branch points of a degree 4 map of a genus 3 hyperelliptic curve to P^1; the branch points of a genus 3 curve mapped to P^1 by the canonical sheaf; the branch points of a genus 4 curve mapped to P^1 by a theta-characteristic. We'll see that these divisors (and others) are all the same, by showing that the corresponding moduli spaces are covers of others. The links involve various beautiful classical constructions.
DESCRIPTION:Speaker: Ravi Vakil\, M.I.T.\n\n

LOCATION:JFB 102

URL:http://math.utah.edu/agseminar/1999-04-07-ravi-vakil/
END:VEVENT
END:VCALENDAR