The topic of this seminar will be derived deformation theory. Preliminary schedule.
Familiarity with basic ∞-category theory as developed in Chapters 1-4 of the book Higher Topos Theory.
Talk 1 (Oct 14) | Introduction and organization | (Severin) | notes |
Talk 2 (Oct 21) | Examples of deformations I: associative algebras and modules | (Xinyang) | notes |
Talk 3 (Oct 28) | Examples of deformations II: complex manifolds and vector bundles | (Walker) | |
Talk 4 (Nov 04) | Formalisation of deformation problems: Schlessinger's deformation functors | (Malte) | notes |
Talk 5 (Nov 11) | Differential graded Lie algebras and Mauer-Cartan theory | (Arndt) | notes |
Talk 6 (Nov 18) | Deformations of singularities | (Jonte) | |
Talk 7 (Nov 25) | The idea of derived deformation theory and the motivation for Lurie's theorem | (Tobias) | |
Talk 8 (Dec 02) | Deformation contexts and formal moduli problems | (Angus) | |
Talk 9 (Dec 09) | Tangent complex and deformation theories | (Merlin) | |
Talk 10 (Dec 16) | ∞-topoi and hypercoverings | (Severin) | notes |
Talk 11 (Jan 06) | Deformation theories classify formal moduli problems | (Walker) | |
Talk 12 (Jan 13) | Homology and cohomology of Lie algebras | (Fernando) | |
Talk 13 (Jan 20) | Koszul duality and the proof of the Lurie-Pridham Theorem | (Julian) | |
Talk 14 (Jan 27) | Moduli problems for E_n-algebras | (Tobias) |