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SUMMARY:Tristan Vaccon (Université de Limoges)
DTSTART:20210401T163000Z
DTEND:20210401T173000Z
DTSTAMP:20260422T053749Z
UID:SFUQNTAG/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SFUQNTAG/29/
 ">On Gröbner bases over Tate algebras</a>\nby Tristan Vaccon (Université
  de Limoges) as part of SFU NT-AG seminar\n\n\nAbstract\nTate series are a
  generalization of polynomials introduced by John Tate in 1962\, when defi
 ning a p-adic analogue of the correspondence between algebraic geometry an
 d analytic geometry. This p-adic analogue is called rigid geometry\, and T
 ate series\, similar to analytic functions in the complex case\, are its f
 undamental objects. Tate series are defined as multivariate formal power s
 eries over a p-adic ring or field\, with a convergence condition on a clos
 ed ball.\n\nTate series are naturally approximated by multivariate polynom
 ials over F_p or Z/p^n Z\, and it is possible to define a theory of Gröbn
 er bases for ideals of Tate series\, which opens the way towards effective
  rigid geometry. \n\nIn this talk\, I will present classical algorithms to
  compute Gröbner bases (Buchberger\, F5\, FGLM)  and how they can be adap
 ted for Tate series.\n\nJoint work with Xavier Caruso and Thibaut Verron.\
 n
LOCATION:https://researchseminars.org/talk/SFUQNTAG/29/
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