Duality theorems for current groups
We are grateful to Alexei Borodin, Alexander Braverman, Boris Feigin, Michael Finkelberg, Ryo Fujita, Syu Kato and Shrawan Kumar for useful discussions and correspondence. The research of E. F. was supported by the grant RSF 19-11-00056. The study was partially supported by the HSE University Basic Research Program. A. Kh. is a Young Russian Mathematics award winner and would like to thank its sponsors and jury. The work of Ie. M. was supported by the Japan Society for the Promotion of Science.