Geometry and 5d N=1 QFTs

I will explain that a geometric theory built upon the theory of complex surfaces can be used to understand wide variety of phenomena in five-dimensional supersymmetric theories, which includes the following: Classification of 5d superconformal field theories (SCFTs) Enhanced flavor symmetries of 5d SCFTs 5d N=1 gauge theory descriptions of 5d and 6d SCFTs Dualities between 5d N=1 gauge theories T-dualities between 6d N=(1,0) little string theories This relationship between geometry and 5d theories is based on M-theory and F-theory compactifications -----------