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TZID:Asia/Jerusalem
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DTSTART:20171029T020000
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TZOFFSETTO:+0200
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DTSTART:20180323T020000
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UID:calendar.47028.field_date.0@mathematics.huji.ac.il
DTSTAMP:20210309T045021Z
CREATED:20171206T080620Z
DESCRIPTION:Date: \n\n11:00am to 1:00pm\n\n\nSee also: Logic\, Seminars\,
Events & SeminarsLocation: \n\nMath 209\n\n\n\nA special class among the
countably infinite relational structures is the class of homogeneous struc
tures. These are the structures where every finite partial isomorphism ext
ends to a total automorphism. A countable set\, the ordered rationals\, an
d the random graph are all homogeneous. \n\nGiven a homogeneous structure
M\, we will see some connections between its automorphism group (a Polish
group) and some combinatorial properties of its age (the class of finite s
tructures embedded in M). In particular\, in a joint work with Solecki\, w
e build on the work of Herwig-Lascar and Hodkinson-Otto by strengthening t
he notion of the extension property for partial automorphisms (EPPA) to th
e new notion of ‘coherent EPPA’. We will show that coherent EPPA implies t
he existence of a dense locally finite subgroup of Aut(M). We will also di
scuss other topological properties of Aut(M) such as ample generics and th
e small index property.
DTSTART;TZID=Asia/Jerusalem:20171206T110000
DTEND;TZID=Asia/Jerusalem:20171206T130000
LAST-MODIFIED:20180104T140158Z
SUMMARY:Logic Seminar - Daoud Siniora - 'Automorphism groups of homogeneous
structures'
URL;TYPE=URI:https://mathematics.huji.ac.il/event/logic-seminar-daoud-sinio
ra-automorphism-groups-homogeneous-structures
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