Duality, descent and extensions
Event details
| Date | 12.10.2012 |
| Hour | 14:15 › 15:30 |
| Speaker | Kathryn Hess (EPFL) |
| Location | |
| Category | Conferences - Seminars |
In recent work with Alexander Berglund, we studied the relationships among the notions of Koszul duality for dg algebras, Grothendieck descent for morphisms of dg algebras and Hopf-Galois extensions of dg algebras. We showed in particular if B is a multiplicative acyclic closure of a dg algebra A, and a dg Hopf algebra H coacts on B by algebra maps, then H is Koszul dual to A if and only if the inclusion map of A into B is an H-Hopf-Galois extension satisfying Grothendieck descent.
In this talk I will briefly recall the notions of Koszul duality, homotopic Grothendieck descent and homotopic Hopf-Galois extension, then describe the common categorical framework into which all of these notions fit and sketch the proof of the result stated above. I will also explain how to how to construct families of examples based on Hirsch algebras to which our framework can be applied.
In this talk I will briefly recall the notions of Koszul duality, homotopic Grothendieck descent and homotopic Hopf-Galois extension, then describe the common categorical framework into which all of these notions fit and sketch the proof of the result stated above. I will also explain how to how to construct families of examples based on Hirsch algebras to which our framework can be applied.
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- Free
Organizer
- Kathryn Hess
Contact
- Kathryn Hess