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DTSTART;TZID=America/Toronto:20231122T143000
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URL:https://uwaterloo.ca/pure-mathematics/events/logic-seminar-52
SUMMARY:Logic Seminar
CLASS:PUBLIC
DESCRIPTION:LEO JIMENEZ\, OHIO STATE UNIVERSITY\n\n\"SPLITTING DIFFERENTIAL
  EQUATIONS USING GALOIS THEORY\"\n\nAn ordinary algebraic differential equ
 ation is said to be internal to\nthe constants if its general solution is 
 obtained as a rational\nfunction of finitely many of its solutions and fin
 itely many constant\nterms. Any such equation has an algebraic group actin
 g as its Galois\ngroup. In this talk\, I will use decomposition theorems f
 or algebraic\ngroups to show that some internal equations (do not) split i
 nto a\nproduct of internal equations. The methods are model-theoretic and\
 ncould be applied to other contexts. This is a joint work in progress\nwit
 h Christine Eagles.\n\nMC 5479
DTSTAMP:20260506T035149Z
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