Giovanna Le Gros (Universit\u00e0 di Padova)<\/p>\n
Enveloping and n-tilting classes over commutative rings<\/em><\/p>\n Abstract: In this talk, we will discuss approximations by tilting classes over commutative rings, where tilting classes are generated by infinitely generated tilting modules. Recently, all the commutative rings over which 1-tilting classes are enveloping were classified. This used the classification of 1-tilting classes over commutative rings by faithful finitely generated Gabriel topologies proved by Hrbek. This classification was extended to the general tilting case by Hrbek-Stovicek, where instead the correspondence is with suitable finite sequences of Gabriel topologies. In this talk we will discuss some results toward the classification of tilting cotorsion pairs that provide approximations, using Hrbek and Stovicek’s classification. In particular, we will discuss how considering an induced tilting class in suitable factor rings retains useful properties of the original tilting class and their approximations. Giovanna Le Gros (Universit\u00e0 di Padova) Enveloping and n-tilting classes over commutative rings Abstract: In this talk, we will discuss approximations by tilting classes over commutative rings, where tilting classes are generated by infinitely generated tilting modules. Recently, all the commutative rings over which 1-tilting classes are enveloping were classified. This used the classification of … <\/p>\n
\nThis talk is based on current work with Dolors Herbera.<\/p>\n","protected":false},"excerpt":{"rendered":"