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DTSTAMP:20120406T001819Z
DTSTART;TZID=America/Los_Angeles:20120406T160000
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TRANSP:OPAQUE
SUMMARY:“Geometric” Properties of Schemes
UID:54611-ucb-events-calendar@berkeley.edu
ORGANIZER;CN="UC Berkeley Calendar Network":
LOCATION:740 Evans Hall
DESCRIPTION:Jason Ferguson\, UC Berkeley\n\nMany properties of schemes are preserved under base change. However\, four properties of k-schemes that are not preserved under change of the base field k are reducedness\, irreducibility\, integrality\, and connectedness. I will give examples\, then define the notion of geometrically reduced\, irreducible\, integral\, and connected k-scheme. Finally\, I will then sketch a proof that to detect geometrically reducedness (resp. irreducibility\, connectedness)\, it suffices to base change to the perfect closure of k (resp. separable closure of k\, separable closure of k). Along the way I will give some useful tricks for reducing statements about general k-schemes to finite-type k-schemes.\n\n<i>After the seminar\, everyone is invited out for drinks and dinner with the speaker.</i>
URL:http://events.berkeley.edu/index.php/calendar/sn/pubaff.html?event_ID=54611&view=preview
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CREATED:20120406T001819Z
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