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Can one decide the irreducibility of a polynomial from the sizes of its coefficients?

Ponente: Bernard Teissier
Institución: Institut Mathématique de Jussieu-Paris Rive Gauche y CNRS
 Tipo de Evento: Researcher
When Apr 22, 2016
from 12:00 PM to 01:00 PM
Where Auditorio "Alfonso Nápoles Gándara"
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I will make an excursion through irreducibility criteria of polynomials in one variable with coefficients in a field. The purpose of the talk is to convince the audience that if one takes the words « size » and « coefficients » in a sufficiently extended sense, the answer to this question is in the end positive, however absurd it seems to be at first glance. The talk will be self-contained, and the key notions of valuation and Newton polygon will be introduced.