On the work in [Lim26b]. Abstract. Handwritten notes.
On the work in [Lim26a]. Handwritten notes.
Schedules and synopses can be found here. Notes for the other talks are generally available on the respective speakers' websites.
The Reeh–Schlieder theorem on the cyclicity of the vacuum vector. The additivity property of conformal nets. Handwritten notes, based on [Hen14, pp. 16-20], [FJ96], [Tak72]. Typeset version (some analysis omitted).
On classical and modern definitions of topological and complex modular functors. Handwritten notes, based on [BK01, Chapters 5-6], [MW20, Section 2], [DW25, Section 3].
Hochschild homology, cyclic homology and variants. The HKR theorem and HKR filtration and their analogues. Handwritten notes, based on [Mor19, Sections 2-3].
The construction of a super fibre functor for a Tannakian category. The category of complex super vector spaces as a categorified algebraic closure of the category of real vector spaces. Handwritten notes, based on [Del02 (English translation)] and [Joh15, Section 2].
The chain rule in Goodwillie calculus for functors from spectra to spectra. The statement of the generalisation of Blans–Blom. Handwritten notes, based primarily on [Chi07] with some reference to [Lur17, Section 6] and [BB24].
The generalisation of Noether's theorem in Costello–Gwilliam's factorisation algebras formulation of quantum field theory. Handwritten notes, based on [CG21].
Connections and curvature of vector bundles and principal bundles. The Chern–Weil homomorphism from invariant polynomials to de Rham cohomology. Handwritten notes, based on [ADH21, Section 11] and [KN96, Chapter 2].
Sullivan's PL de Rham functor as a Quillen equivalence. Minimal models as cofibrant objects in the model category of cdgas. Handwritten notes, based on [Hol21, Lectures 2-6].
On circumstances in which the pullback and extraordinary pullback (or pushfoward and extraordinary pushfoward) in six-functor formalisms agree. Handwritten notes, based on [Sch22, Lecture VI].