Physical theories are something difficult for mathematicians to ?understand, but they often produce interesting mathematical objects as ?their invariants (or observables in physical terms).? Moreover it ?often happens that one physical theory gives rise to several ?mathematical objects, which look very different. However since they ?come from a same theory, there is a certain relation or duality ?between these different looking mathematical objects, and such duality ?can be an interesting subject of study in mathematics.?

In my talk I will present an instance of such duality arising from a ?recent study of four dimensional N=2 superconformal field theories.

Tomoyuki Arakawa is Professor at Research Institute for Mathematical ?Sciences (RIMS), Kyoto University, Japan (2010–).

He was educated at Kyoto University and at Nagoya University, Japan.

His research is concerned with representation theory and vertex algebras.

He was awarded MSJ Takebe Katahiro Special Prize (2004),

JSPS Young Scientist Prize (2008),

MSJ Algebra Prize (2013),

MSJ Autumn Prize (2017),

and JSPS Prizes for Science and Technology (2019).

He was an invited speaker at the International Congress of ?Mathematics in Rio de Janeiro in 2018.