MATH Seminar

Title: Abhyankar’s Conjecture and the Inverse Galois Problem
Seminar: Algebra
Speaker: Jim Phillips of Seton Hall University
Contact: Andrew Kobin,
Date: 2023-04-18 at 4:00PM
Venue: MSC W301
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Abhyankar’s Conjecture qualifies which finite groups occur as Galois groups of certain covers of curves in positive characteristic, thus providing an affirmative answer to a type of inverse Galois problem. In this talk, I will give an overview of the history of the conjecture and describe some current work that addresses a related question: given a cover of the projective line in the situation of Abhyankar’s Conjecture with one branch point, what can be said of the associated ramification jumps?

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