In the past five years their have a been number of significant advances in the mathematics of QFT on manifolds with boundary. The work of Cattaneo, Mnev, and Reshitihkinbeyond setting rigorous foundationshas led to many computable and salient examples. Similarly, the work of Costello (specifically projects joint with Gwilliam and Si Li) provides a framework (and deformation/obstruction) for the observable theory of such theories with boundary/defects. There are related mathematical advances: constructible factorization algebras and higher category theory as pioneered by Lurie and the collaboration of Ayala, Francis, and Tanaka. The goal of the workshop is to bring together the leading experts in this multifaceted subject.The structure of the workshop will be such as to maximize the exchange of knowledge and collaboration. More specifically, the morning sessions will consist of several lecture series, while the afternoons will be reserved for research working groups. The mornings will communicate the essential ideas and techniques surrounding bulkboundary correspondences and perturbative AKSZ theories on manifolds with boundary/corners. The afternoons will be research driven and focus on specific problems within the following realms: the interaction of renormalization with cutting/pasting, aspects of the AdS/CFT correspondence, cohomological approaches to gravity, and the observable/defect theory of AKSZ type theories.
Format results

Perturbative BVBFV theories on manifolds with boundary
Alberto Cattaneo University of Zurich

Gactions in quantum mechanics (and spectral sequences and the cosmological constant)
Tudor Dimofte University of Edinburgh

Perturbative BVBFV theories on manifolds with boundary Part 2
Alberto Cattaneo University of Zurich

Degenerate Field Theories and Boundary Theories
Philsang Yoo Seoul National University

Bulkboundary BV quantization for 21 theories
Brian Williams Boston University

A link between AdS/CFT and Koszul duality
Kevin Costello Perimeter Institute for Theoretical Physics

Poisson Sigma Model with symplectic target
Francesco Bonechi National Institute for Nuclear Physics

Vertex algebras and BV master equation
Si Li Tsinghua University


Additivity for Poisson algebras
Pavel Safronov University of Zurich


Virasoro constraints, localization and some comments on BV
Maxim Zabzine Uppsala University