**EMS Distinguished Speaker:**

Gabriel Navarro (University of Valencia)

*Main problems in the representation theory of finite groups* (Presentation)

#### Main Speakers and Organizers of the Special Sessions:

- Groups and Representations

Main speaker: Dan Segal (University of Oxford)

*Some algebraic properties of compact topological groups*(Presentation) (Expanded version)

Organizers: Gabriel Navarro (University of Valencia) and Dan Segal (University of Oxford) - Symplectic Geometry

Main speaker: Miguel Abreu (Technical University of Lisbon)

*Lagrangian intersections in toric manifolds*(Presentation)

Organizers: Miguel Abreu (Technical University of Lisbon) and Marisa Fernández (University of the Basque Country) - PDEs in Mechanics and Physics

Main speaker: María J. Esteban (University of Paris Dauphine)

*Eigenvalues of operators in spectral gaps and applications in relativistic quantum mechanics*(Presentation)

Organizer: María J. Esteban (University of Paris Dauphine) - Functional Analysis Methods in Quantum Information

Main speaker: David Pérez (The Complutense University of Madrid)

*Playing quantum games with operator spaces*(Presentation)

Organizers: Jesús Bastero (University of Zaragoza) and David Pérez (The Complutense University of Madrid)

#### Invited Speakers of the Special Sessions:

- Groups and Representations

L. Bartholdi (University of Göttingen)

*Growth and Poisson boundaries of groups*(Presentation)

C. Broto (Autonomous University of Barcelona)

*Equivalences between fusion systems of finite groups of Lie type*(Presentation)

P. E. Caprace (Catholic University of Louvain)

*Trees, contractions and SL2*

A. Jaikin (Autonomous University of Madrid)

*Finite simple quotients of groups satisfying Kazhdan's property (T)*(Presentation)

G. Robinson (University of Aberdeen)

*Some links between fusion and representation theory*(Presentation)

R. Rouquier (University of Oxford)

*Perverse equivalences and representations* - Symplectic Geometry

A. Fino (University of Turin)

*Calabi-Yau equation on symplectic T*(Presentation)^{2}-bundles over T^{2}

W. D. Kirwin (University of Cologne)

*Adapted complex structures*(Presentation)

G. La Nave (University of Illinois)

*The V-soliton equation, symplectic reduction and the Kähler-Ricci flow*

A. Loi (University of Cagliari)

*Global symplectic coordinates on Kähler manifolds*(Presentation)

E. Miranda (Polytechnic University of Catalonia)

*The symplectic geometry of b-manifolds*(Presentation)

D. Panov (Imperial College)

*Hyperbolic geometry and symplectic Calabi-Yau manifolds* - PDEs in Mechanics and Physics

V. Bonnaillie-Noël (University of Rennes 1)

*Eigenpairs of a model Schrödinger operator with Neumann conditions on the half-plane*(Presentation)

D. Córdoba (Spanish National Research Council , Madrid)

*Turning waves and breakdown for incompressible flows*

M. Escobedo (University of the Basque Country)

*Some new remarks on a kinetic equation for Compton scattering*(Presentation)

D. Lannes (Ecole Normale Supérieure, Paris)

*Shallow water and rough bottoms for the water waves equations*

M. Lewin (University of Cergy-Pontoise Saint-Martin)

*Derivation of Pekar's polaron from a microscopic model of quantum crystal*(Presentation)

N. Visciglia (University of Pisa)

*On the minimization of semirelativistic S-P-S energy*(Presentation) - Functional Analysis Methods in Quantum Information

D. Alonso (University of Alberta)

*On the volume of hyperplane sections and projections of convex bodies*(Presentation)

G. Aubrun (University of Lyon)

*Entanglement threshold for random states*(Presentation)

T. Cooney (The Complutense University of Madrid)

*Operator algebras and locally quantum preparations of joint systems*(Presentation)

T. Fritz (The Institute of Photonic Sciences, Barcelona)

*Witnessing infinite-dimensional state spaces*(Presentation)

O. Guedon (University Marne-la-Vallée, Paris)

*Sparsity and non-Euclidean embeddings*(Presentation)

M. Musat (University of Copenhagen)

*Factorizable completely positive maps and quantum information theory*

I. Nechita (University Paul Sabatier, Toulouse)

*Block-modified Wishart matrices and applications to entanglement theory*(Presentation)