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SUMMARY:Hilbert's irreducibility theorem for algebraic varieties
DTSTAMP:20260501T014400Z
DTSTART;VALUE=DATE:20261017
DTEND;VALUE=DATE:20261022
DESCRIPTION:The seminar focuses on Hilbert’s irreducibility theorem and its
	 modern reinterpretations as an arithmetic-geometric property of varieties
	 over number fields. Originating in Hilbert’s work on realizing finite gro
	ups as Galois groups\, these ideas have since evolved through contribution
	s by Colliot-Thélène\, Sansuc\, Serre\, Corvaja\, Zannier and others into 
	the study of the so-called Hilbert and weak Hilbert properties\, which des
	cribe the abundance and distribution of rational points on varieties and t
	heir behavior under covers. In recent years\, the subject has seen remarka
	ble progress\, with new results on algebraic groups\, abelian varieties\, 
	del Pezzo surfaces\, and K3 surfaces. The aim of this seminar is to introd
	uce PhD students and postdocs to these developments and to the techniques 
	used in their proofs.\n\nDeadline for application: 12 July 2026
URL:https://www.mfo.de/www/activity/2643a
LOCATION:Oberwolfach\, Germany
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