Title: Algebraic curves admitting two or more Galois points
Speaker: Satoru Fukasawa

Abstract:
For a plane curve and a point of the projective plane, the point is called a Galois point, 
if the field extension
of function fields induced by the projection from the point is a Galois extension.
It was hard to construct plane curves with two Galois points, about five years ago.
A criterion for the existence of a plane model admitting two Galois points for algebraic curves was presented by
the speaker, in 2016.
By this criterion, a lot of examples of plane curves admitting two Galois points have been obtained.
Recent developments of the theory of Galois points related to this criterion are explained: for instance,
a generalization of the criterion to quotient curves and an extension to the case where non-collinear Galois
points exist.    
It is interesting that some applications of the theory of Galois points to the theory of algebraic curves
(automorphism groups, rational points over finite fields and coding theory) have been obtained.  
For example, according to results of the speaker and Higashine, it is proven that a lot of important families of
algebraic curves in positive characteristic (Hermitian, Suzuki, Ree, Giulietti-Korchmaros and Skabelund curves)
admit plane models with two or more Galois points.