Opening and Welcome Room: Auditorium CSSB (bldg. 15)

Fundamental Lessons From String Theory

• Cumrun Vafa (Harvard U)

Room: Auditorium CSSB (bldg. 15)

Higher Symmetries in (Non-)Compact String Models

• Mirjam Cvetic (U of Pennsylvania)

Room: Auditorium CSSB (bldg. 15)

Quantum field theory and the nature of space-time

• Graeme Segal (U of Oxford)

Room: Auditorium CSSB (bldg. 15)

Topological order and long range entanglement - emergence of topological quantum field theory and non-Abelian statistics

• Xiao-Gang Wen (MIT)

Room: Auditorium CSSB (bldg. 15)

Late time quantum chaos in two-dimensional holography

• Alexander Altland (U of Cologne)

Room: Auditorium CSSB (bldg. 15)

Complexity Coarse-Graining in Quantum Gravity

• Netta Engelhardt (MIT)

Room: Auditorium CSSB (bldg. 15)

Symmetry Resolution in Conformal Field Theory

• Hirosi Ooguri (Caltech & KIPMU)

Room: Auditorium CSSB (bldg. 15)

The Virasoro Minimal String

• Beatrix Muehlmann (McGill Univ.)

Room: Auditorium CSSB (bldg. 15) I will introduce a critical string theory in two dimensions and explain that this theory, viewed as two-dimensional quantum gravity on the worldsheet, admits an equivalent holographic description in terms of a double-scaled matrix integral. The worldsheet theory consists of Liouville CFT with central charge c>25 coupled to timelike Liouville CFT with central charge 26-c. The dual matrix integral has as its leading density of eigenvalues the universal Cardy density of primary states in a two-dimensional CFT of central charge c, which motivates the name of the theory. This duality holds for any value of the continuous parameter c and reduces to the well-known JT gravity/matrix integral duality in the large central charge limit, thus providing a precise stringy realization of JT gravity. This talk is based on work with Scott Collier, Lorenz Eberhardt, and Victor Rodriguez.

A tensor model for 3d gravity

• Daniel Jafferis (Harvard U)

Room: Auditorium CSSB (bldg. 15)

Homological Link invariants from Floer Theory

• Mina Aganagic (UC Berkeley)

Room: Auditorium CSSB (bldg. 15)

Anyonic Chains and von Neumann algebras

• Stefan Hollands (U of Leipzig)

Room: Auditorium CSSB (bldg. 15) Anyonic spin chains can be seen as lattice models where topological excitations are built in from the start. I will explain an intimate relationship between such models based unitary modular tensor categories, and the theory of von Neumann sub-factors. In particular, I will introduce a notion of (vertical) defects, which are shown to be governed by an algebraic structure isomorphic to that appearing in 1+1 rational conformal field theories, as developed by Fuchs et. al and by Kawahigashi et. al -- despite the fact that anyonic chains are defined on finite lattices and may lead to gapped Hamiltonians in the scaling limit. The talk is pedagogical and I emphasize structures that have not appeared previously in the physics literature.

Generalized Black Hole Entropy is von Neumann Entropy

• Gautam Satishchandran (Princeton U)

Room: Auditorium CSSB (bldg. 15)

Signal communication and modular theory

• Roberto Longo (U of Rome II)

Room: Auditorium CSSB (bldg. 15)

Unique continuation, inverse problems, and QFT

• Alexander Strohmaier (U of Leeds)

Room: Auditorium CSSB (bldg. 15)

A Background-Independent Algebra in Quantum Gravity

• Edward Witten (IAS Princeton)

Room: Auditorium CSSB (bldg. 15)

Analytic Langlands correspondence over R

• Pavel Etingof (MIT)

Room: Auditorium CSSB (bldg. 15)

Whittaker coefficients and the Hitchin section

• Sam Raskin (Yale U)

Room: Auditorium CSSB (bldg. 15)

Quantum Analytic Langlands Correspondence

• Joerg Teschner (DESY and U of Hamburg)

Room: Auditorium CSSB (bldg. 15)

Hypergeometric integrals, hook formulas, and Whittaker vectors

• Giovanni Felder (ETH Zuerich)

Room: Auditorium CSSB (bldg. 15) The classical hook-length formula in combinatorics relates the number of standard Young tableaux with given shape to the product of hook-lengths of the Young diagram. A generalization to skew Young diagrams is due to Naruse, who obtains it as a limit of a multivariate generalization arising from equivariant Schubert calculus. We show that these combinatorial objects appear in a relation between multidimensional hypergeometric integrals motivated by 3D mirror symmetry and in the diagonalization of the action of the centre of U(gl_n) on the space of Whittaker vectors in the tensor product of dual Verma modules with fundamental modules. The talk is based on joint work with Andrey Smirnov, Vitaly Tarasov and Alexander Varchenko.

Langlands duality in quantum topology

• David Jordan (U of Edinburgh)

Room: Auditorium CSSB (bldg. 15)

Topological aspects of Laplace eigenfunctions on the round 2-sphere (defects, anomalies, paradoxes) [virtual]

• Clifford Taubes (Harvard U)

Room: Auditorium CSSB (bldg. 15)

Convolution algebras related to Khovanov homology

• Catharina Stroppel (U of Bonn)

Room: Auditorium CSSB (bldg. 15)

Closing Room: Auditorium CSSB (bldg. 15)