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DTSTART;TZID=America/Toronto:20231101T143000
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URL:https://uwaterloo.ca/pure-mathematics/events/logic-seminar-54
SUMMARY:Logic Seminar
CLASS:PUBLIC
DESCRIPTION:RAHIM MOOSA\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSITY OF WA
 TERLOO\n\n\"BOUNDING NONORTHOGONALITY\"\n\nIn stability theory there is a 
 natural notion for what it means for a\ncomplete type $p$ to have signific
 ant definable interaction with a\ndefinable set $X$: we say that \"$p$ is 
 nonorthogonal to $X$”. This\nnotion allows passing to a larger set of pa
 rameters\, and if we insist\non fixing the base parameters we get the stro
 nger\, but easier to see\,\nnotion of \"non-weak-orthogonality”. Last ye
 ar\, Remi Jaoui and I\,\nproved a theorem that\, in a certain particular c
 ontext coming from\ndifferential fields\, says something like \"$p$ is non
 orthogonal to $X$\nif and only if $p^2$ is not weakly orthogonal to $X$”
 . This year\,\nJason Bell\, Matt Satriano and I gave the same theorem in a
 nother\ncontext coming this time from difference fields. The theorems have
 \napplications to the bimeromorphic geometry of algebraic vector fields\na
 nd dynamical systems\, but in this talk I will stick to the abstract\nstat
 ement itself\, attempt to make it more precise\, and maybe convey\nsomethi
 ng about how it is proved (in the differential case).\n\nMC 5479\n 
DTSTAMP:20260605T055300Z
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