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UID:20260908T151715EDT-8933EjC1hV@132.216.98.100
DTSTAMP:20260908T191715Z
DESCRIPTION:Title: Extension and division of $\mathcal{C}^m$ semialgebraic 
 functions\n\nI will discuss $\mathcal{C}^m$ Whitney problems where the giv
 en data is semialgebraic and the solution is to be semialgebraic\; in part
 icular\, questions concerning extension to $\mathbb{R}^n$ of $\mathcal{C}^
 m$ semialgebraic functions defined on a closed subset\, and $\mathcal{C}^m
 $ semialgebraic solutions of systems of linear equations whose coefficient
 s are semialgebraic functions.\n\nPositive answers are known for for $n=2$
  (Fefferman-Luli\, 2021) and for general $m\,\\, n$ modulo a certain loss 
 of differentiability (Bierstone-Campesato-Milman\, 2021). I will try to de
 scribe the methods of both results. It is not yet evident whether positive
  answers preserving the differentiability class should be expected\, in ge
 neral.\n\nZoom link seminarshttps://ulaval.zoom.us/j/61050270680?pwd=Y29Qe
 WJGNWZ1cUQxK1pNUGdqQWFnQT09\n
DTSTART:20221028T183000Z
DTEND:20221028T193000Z
SUMMARY:Edward Bierstone (University of Toronto)
URL:https://www.mcgill.ca/mathstat/channels/event/edward-bierstone-universi
 ty-toronto-342998
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