# School courses

** Francesco Bottacin (Università di Padova) **

"The Kobayashi-Hitchin correspondence" Lecture notes 1 2 3 4

**Damien Calaque (Universitè de Montpellier 2, France) **

"From derived algebraic geometry to derived symplectic geometry"

**Denis Charles Cisinski (Universitè de Toulouse, France) **

"$\infty$-categories" Lecture notes

** Claude Sabbah (École Polytechnique, Palaiseau, France) **

"Hodge D-modules" Lecture notes Slides 1 2 3

# School short communications

** Peter Dalakov (Bulgarian Academy of Sciences, IMI, Bulgaria) **

"Langlands duality and special Kaehler metric on the Hitchin base" Lecture notes

** Carmelo Di Natale (University of Cambridge, UK) **

"A Period Map for Global Derived Stacks" Lecture notes

** Hironori Sakai (University of Muenster, Germany) **

"The moduli spaces of symplectic vortices on an orbifold Riemann surface" Slides

# Workshop seminars (the videos are available here)

** Kai Behrend (University of British Columbia, Canada) **

"Derived Moduli of stable non-commutative schemes "

** Philip Boalch (ENS, France) **

"Natural flat connections and wild mapping class groups"

**Andrei Caldararu (University of Wisconsin, USA) **

"The de Rham complex from the point of view of twisted derived intersections"

** Andrea D'Agnolo (Università di Padova, Italy) **

"Riemann-Hilbert correspondence for irregular holonomic D-modules" Slides

**Alexander I. Efimov (Higher School of Economics, Russia) **

"Noncommutative Hitchin system"

** Domenico Fiorenza (Università di Roma 1, Italy) **

"Abel, Jacobi and the double homotopy fiber" Slides

** Ezra Getzler (Northwestern University, USA) **

"Chern-Weil Theory for Perfect Complexes"

** Florian Ivorra (Université de Rennes 1, France) **

"Intersection theory and $A_\infty$-algebra"

** Dominic Joyce (Oxford University, UK) **

Mini-course (3 hours): "Shifted symplectic derived algebraic geometry, and extensions of Donaldson-Thomas theory" Slides 1 2 3

** Marco Manetti (Università di Roma 1, Italy) **

"A formality criterion for differential graded Lie algebras" Slides

** Ryszard Nest (University of Copenhagen, Denmark) **

"Index and determinant of n-tuples of commuting operators"

** Behrang Noohi (University of London, UK) **

"Introduction to topological stacks"

** Tony Pantev (University of Pennsylvania, USA) **

"Constructions in shifted symplectic geometry"

** Thomas Reichelt (Max Planck Institute for Mathematics, Germany) **

"Hodge theory of GKZ systems and mirror symmetry"

** Claude Sabbah (École Polytechnique, Palaiseau, France) **

"Aspects of the irregular Hodge filtration" Slides

** Dmytro Shklyarov (Freiburg University, Germany) **

"A categorical approach to the higher residue pairings"

** Ping Xu (Penn State University, USA) **

"Holomorphic Poisson manifolds and symplectic realizations"

** Amnon Yekutieli (Ben Gurion University, Israel) **

"Residues and Duality for Schemes and Stacks" Slides

# Workshop short communications (the videos are available here)

** Oren Ben-Bassat (University of Oxford, UK) **

"Analytic Geometry As Relative Algebraic Geometry"

** Sheng-Fu Chiu (Northwestern University, USA) **

"Contact non-squeezability" Slides

** Oleksandr Kravets (Moscow Higher School of Economics, Russia) **

"Exceptional collections in categories of singularities of3-dimensional Landau-Ginzburg models"

** Alice Rizzardo (SISSA, Italy) **

"Representability of cohomological functors over extension fields"

** Jean-Baptiste Teyssier (Free University of Berlin, Germany) **

"On a characterization of regular holonomic $\mathcal D$-modules"

** Jesse Wolfson (Northwestern University, USA / IPMU, Japan) **

"The Index Map in Algebraic K-Theory"