Title:Â Maulik-Okounkov quantum loop groups and preprojective KHA
Abstract: In this talk I present the proof of the isomorphism between the Maulik-Okounkov quantum loop groups and the Drinfeld double of the preprojective K-theoretic Hall algebra after localisation. Moreover, we are going to show a more precise version of the isomorphism: The isomorphism of the wall subalgebra and the slope subalgebra on both sides respectively. If time permits, I will also talk about some applications of such isomorphisms.