Lecture Notes and Videos
Lecture series
- Shifted symplectic geometry by examples
(slides for lecture1, lecture2, lecture3, lecture4, and lecture5)
- An operadic view on associators
(video 1,
video 2,
video 3)
- Formal moduli problems and formal derived stacks
(video 1,
video 2,
video 3)
- Three lectures on derived symplectic geometry and topological field theories
(.pdf, video 1,
video 2, video 3)
- (with Carlo Rossi) Lectures on Duflo isomorphisms in Lie algebras and complex geometry
(.pdf)
Short lectures
- Shifted symplectic reduction
(video)
- Relative critical loci, Calabi-Yau completions, and a lagrangian in the Hilbert scheme of the plane
(video)
- Shifted symplectic reduction
(video)
- Comparing Calabi-Yau and quasi-bisymplectic structures for multiplicative preprojective algebras
(video)
- Vertex models and En-algebras
(video)
- Vertex models and En-algebras: upside down renormalization
(video)
- Deformation quantization with branes and multiple zeta values
(beamer)
- Vertex models and n-algebras
(video)
- Vertex models and En-algebras
(video)
- En-algebras in Mathematical Physics
(video 1, video 2)
- Two examples of fully extended TFTs
(beamer of the first lecture)
- Derived symplectic geometry and classical Chern--Simons theory
(video)
- Deformation quantization of shifted symplectic and Poisson structures
(video)
- Hochschild cohomology of smooth algebraic varieties
(.pdf)
- (in french) Algèbres de factorisation et modèles de réseaux
(beamer)
- Lagrangian structures in derived symplectic geometry
(.pdf)
- From associators to the Kashiwara-Vergne conjecture
(video 1, video 2)
- Factorization algebras and formality theorems
(video 1, video 2)
- Kontsevich formality theorem
(video)
- Classical TFTs and symplectic structures on mapping spaces with boundary conditions
(video)
- Einführungsvorlesung: Lie Theory and Algebraic Geometry
(beamer, see also a video of the lecture)
- On the equivalence of two formality theorems, after Severa and Willwacher
(video by Dror Bar-Natan / other talks of the conference are available on
Bar-Natan's webpage)
- From Lie theory to algebraic geometry and back
(.pdf, see also a video of a talk given on this subject at the conference
Poisson 2010)
- (in french) Dualité de Van den Bergh et quantification par déformation, d'après Dolgushev
(.pdf)
- Duflo isomorphism and Caldararu's conjecture
(.pdf)
- (in french) Tranches et tubes
(.pdf)
- Universal KZB equations, braids on the torus, and Cherednik algebras
(slides in english and in french)
- Quantization of symplectic dynamical r-matrices and the quantum composition formula
(.pdf)
- (in french) Cohomologie de Quillen pour les comodules sur un algébroïde de Hopf
(.pdf)
- About the dynamical Yang-Baxter equation(s)
(.pdf)
Lectures attended
- Superalgebra of differentiable functions and derived geometry - D. Roytenberg
(.pdf)
- (in french) Déformations homogènes - P. Polesello
(.pdf)
- (in french) Comparaison d'invariants quantiques - A. Virelizier
(.pdf)
- (in french) Espaces de lacets et paramètres de Langlands - G. Ginot
(.pdf)
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