BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Sabre//Sabre VObject 4.5.8//EN CALSCALE:GREGORIAN BEGIN:VTIMEZONE TZID:Europe/Zurich X-LIC-LOCATION:Europe/Zurich TZURL:http://tzurl.org/zoneinfo/Europe/Zurich BEGIN:DAYLIGHT TZOFFSETFROM:+0100 TZOFFSETTO:+0200 TZNAME:CEST DTSTART:19810329T020000 RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:+0200 TZOFFSETTO:+0100 TZNAME:CET DTSTART:19961027T030000 RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU END:STANDARD END:VTIMEZONE BEGIN:VEVENT UID:news2000@dmi.unibas.ch DTSTAMP;TZID=Europe/Zurich:20260403T210658 DTSTART;TZID=Europe/Zurich:20260408T121500 SUMMARY:Bernoullis Tafelrunde: Mebarka Bettayeb (Universität Basel) DESCRIPTION:Abstract [t3://file?uid=4152]\\r\\nWe study configurations of p oints in the projective plane over a finite field. More precisely we consi der Galois orbits of a fixed size d and in general position. The goal is t o count such orbits up to the action of the projective linear group. This counting problem arises in birational geometry\, as such orbits correspond to equivalence classes of Sarkisov links\, which are elementary birationa l maps useful in the study of the Cremona group. We develop counting metho ds to determine the number of such Galois orbits of size d=5\,6\,7\,8\, u sing tools from group actions. X-ALT-DESC:

Abstract

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We study co nfigurations of points in the projective plane over a finite field. More p recisely we consider Galois orbits of a fixed size d and in general positi on. The goal is to count such orbits up to the action of the projective li near group. This counting problem arises in birational geometry\, as such orbits correspond to equivalence classes of Sarkisov links\, which are ele mentary birational maps useful in the study of the Cremona group. We devel op counting methods to determine the number of such Galois orbits \;of size d=5\,6\,7\,8\, using tools from group actions.

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