| Speaker: | Agnieszka Bodzenta (U of Edinburgh) |
|---|---|
| Title: | Ringel duality as an instance of Koszul duality |
| Date (JST): | Wed, Nov 22, 2017, 13:15 - 14:45 |
| Place: | Seminar Room B |
| Abstract: | The formalism of bocses, i.e. "bimodules over categories with coalgebra structure", allows one to assign to any quasi-hereditary algebra A a semi-free differential graded algebra E(A). I will show that the dg algebra assigned to the algebra Ringel dual to A is the truncation of the dual of the bar construction of E(A). I will use the precise construction of the Ringel dual bocs to provide restrains on the Ext-algebras of standard modules over curve-like quasi-hereditary algebras. These form the smallest class of quasi-hereditary algebras closed under Ringel duality and containing quasi-hereditary algebras associated to birational morphisms of smooth surfaces. This is joint work with Julian Kuelshammer. |
