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SUMMARY:Alex Evetts (Manchester)
DTSTART:20220524T130000Z
DTEND:20220524T150000Z
DTSTAMP:20260423T041749Z
UID:WienGAGT/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WienGAGT/18/
 ">Equations\, rational sets and formal languages</a>\nby Alex Evetts (Manc
 hester) as part of Vienna Geometry and Analysis on Groups Seminar\n\n\nAbs
 tract\nThe set of solutions to a system of equations over a group is known
  as an algebraic set. The study of such sets goes back to the 1970s and 19
 80s and work of Makanin and Razborov. More recently\, there has been a sig
 nificant amount of effort to describe algebraic sets in various classes of
  groups using formal languages\, and in particular the class of EDT0L lang
 uages. I will explain what an EDT0L language is and describe some recent r
 esults on virtually abelian groups. Namely that their algebraic sets can b
 e represented by EDT0L languages (joint work with A. Levine)\, and that th
 e same is true for their rational sets\, those sets described by finite st
 ate automata (joint work with L. Ciobanu).\n
LOCATION:https://researchseminars.org/talk/WienGAGT/18/
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