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SUMMARY:David Meretzky (University of Notre Dame)
DTSTART:20240509T180000Z
DTEND:20240509T190000Z
DTSTAMP:20260423T021311Z
UID:OLS/145
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OLS/145/">Di
 fferential Field Arithmetic</a>\nby David Meretzky (University of Notre Da
 me) as part of Online logic seminar\n\n\nAbstract\nI will discuss some of 
 my upcoming thesis work under the supervision of Anand Pillay. Some of thi
 s work is also joint with Omar León Sánchez. Motivated by existence ques
 tions in differential Galois theory\, I will discuss our recent efforts to
  generalize a theorem of Serre from the algebraic to the differential alge
 braic setting. Serre's theorem states: A field F is bounded (has finitely 
 many extensions of each finite degree) if and only if the first Galois coh
 omology set with coefficients in any linear algebraic group defined over F
  is trivial.  This talk will emphasize our development of basic computatio
 nal tools for definable Galois cohomology\, a model theoretic generalizati
 on of (differential) algebraic Galois cohomology. All of the relevant noti
 ons will be introduced\, including some background on differential Galois 
 theory.\n
LOCATION:https://researchseminars.org/talk/OLS/145/
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