You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar<\/p>\n
Speaker: Susumu Tanab\u00e9 (Galatasaray)
\n\u201cAsymptotic critical values of a polynomial map\u201d<\/p>\n
Abstract: The bifurcation locus of a polynomial map f is the smallest subset B(f) such that f realises a local trivialisation in the neighbourhood of each point of the complement to B(f).<\/p>\n
It is known that the bifurcation locus B(f) is the union of the set of critical values f(Sing f) and the set of bifurcation values at infinity which may be non-empty and disjoint from the critical value set f(Sing f). It is a difficult task to find the bifurcation locus in the cases for a polynomial depending on more than three variables. Nevertheless, one can obtain approximations by supersets of B(f) from exploiting asymptotical regularity conditions. Jelonek and Kurdyka established an algorithm for finding a superset of B(f): the set of asymptotic critical values.<\/p>\n
In this talk, we survey the history of the research of the bifurcation locus and discuss recent results on the asymptotic critical values.<\/p>\n
Date: 10 December 2021, Friday
\nTime: 15:40 (GMT+3)
\nPlace: Zoom<\/p>\n
This is an online seminar. To request the event link, please send a message to sertoz@bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar Speaker: Susumu Tanab\u00e9 (Galatasaray) \u201cAsymptotic critical values of a polynomial map\u201d Abstract: The bifurcation locus of a polynomial map f is the smallest subset B(f) such that f realises a local trivialisation in the neighbourhood of each point of the [\u2026] <\/p>\n