アブストラクト：
In a past few years, a class of 4d supersymmetric gauge theories related
to M5-brane compactification on a Riemann surface has been widely
studied, related to various areas in theoretical physics and
mathematics. In this seminar we discuss the N=1 version of the class of
theories which flow to IR N=1 superconformal fixed point, associated to
a Riemann surface with additional data, after reviewing the N=2
construction by Gaiotto. In the construction a puncture has information
of a flavor symmetry of the 4d theory, and this classifies theories. We
identify a duality frame where theory has a UV Lagrangian description by
using the Higgsing technique. This clarifies N=1 dualities among
theories with UV Lagrangians and ones without no known Lagrangian, as a
symmetry of the Riemann surface.