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Logic seminar: Gabriel Ng

Dates:6 March 2024
Times:15:15 - 16:30
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Adults, Alumni, Current University students
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  • Department of Mathematics

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  • In category "Seminar"
  • In group "(Maths) Maths seminar series"
  • In group "(Maths) Logic"
  • By Department of Mathematics

Title: On Taylor Morphisms and Differentially Large Fields

Abstract: Differentially large fields are a class of differential fields introduced by León Sánchez and Tressl which generalise the notion of largeness to differential fields. In order to study these fields, they construct the Twisted Taylor Morphism, a functor which constructs differential ring homomorphisms into the ring of power series from ring homomorphisms into the base field. In this talk, we will begin by giving a brief introduction to the context of differentially large fields. We will then consider a generalised notion of a Taylor morphism, and give a characterisation in terms of a twisted Hurwitz series ring, and time permitting, consider a few categorical properties of this construction.

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