Abstract We will construct semiorthogonal decompositions of moduli of vector bundles on a curve C into the symmetric powers of C. As essential ingredients in the proof, we will develop Borel-Weil-Bott theory for loop groups on twisted moduli spaces and derived Schur-Weyl duality for current groups. We will also discuss the relation with supersymmetric gauge theory.About the speaker Kai XuHarvar...
Abstract:A subgraph of an edge-coloured graph is called rainbow if all its edges have distinct colours. The study of rainbow subgraphs has a long history in discrete mathematics, going back to the 18th century work of Euler on Latin squares. Since then rainbow structures were the focus of extensive research and found numerous applications in design theory and graph decompositions. Many problem...