The program can be found below. For access information please register.
Times are Central European Summer Time (UTC+2)
Monday 2 August 
Tuesday 3 August 
Wednesday 4 August 
Thursday 5 August 
Friday 6 August 


08:3009:30  Registration  Hattori  Hattori  Hattori  Hattori 
09:3010:00  Coffee  
10:0011:00  Waldmann  Miranda  Waldmann  Waldmann  Waldmann 
11:0012:00  Rejzner  Rejzner  Rejzner  Rejzner  Rejzner 
12:0013:30  Lunch  
13:3014:30  Miranda  Free afternoon  Exercises Miranda (P. Mir) 
Waldmann  Exercises Hattori 
14:3015:00  Coffee  Coffee  
15:0016:00  Exercises Miranda (P. Mir) 
Exercises Hattori  Exercises Waldmann (M. Heins) 

16:00  Exercises Waldmann (M. Heins) 
Miranda  
19:00 Dinner 
In this series of lectures I explain geometric quantization from the viewpoint of spectral convergence. We take a Lagrangian fibration on a symplectic manifold and a family of compatible complex structures tending to the real polarization given by the fibration, and show a spectral convergence of the dbar Laplacian on the prequantum line bundle to the spectral structure related to the set of Bohr–Sommerfeld fibers. This talk is based on the joint work with Mayuko Yamashita.
Additional resources. Detailed plan of lectures, notes of exercise session 1, notes of exercise session 2.
Quantization seeks to associate a quantum system to a classical Hamiltonian
system replacing functions by operators and Poisson brackets of functions by brackets of operators. Several paths have been traced for this passionate journey from geometry and analysis into Physics: geometric quantization, formal quantization, BRST quantization and semiclassical quantization to cite a few. All of them supply taylormade master formulas to the day dreamer mathematicians who are looking into the quantum world through their quantization mirror.
In this course we focus on the Geometric Quantization approach and we provide several a model that brings us closer to the role of quantization as a mathematical tamer of quantum physics. The almost metaphysical questions still waft in the air: Can this be achieved? Do these methods depend on additional data? Can we find a universal model?
Geometric quantization and integrable systems are common mathematical objects on the interface of Geometry and Physics. Integrable systems represent a class of Hamiltonian systems which can be associated to an extra number of functions (first integrals). And geometric quantization meets integrable systems when these systems are used as data attached to the Geometric quantization process (a polarization). In this minicourse we will examine the quantization problem considering as polarizations the real polarizations associated to an integrable system and analyze the role of singularities in the quantization picture suggested by Kostant.
Additional resources. Detailed plan of lectures, lecture notes.
Perturbative algebraic quantum field theory (pAQFT) is a rigorous approach to perturbative quantum field theory that combines the idea of locality coming from the Haag–Kastler axioms with methods of perturbation theory and homological algebra. The latter enter through the application of the BV (Batalin–Vilkovisky) formalism. In this series of lectures I will outline the main ideas of pAQFT and show how the BV formalism can be applied to perturbatively quantize gauge theories.
Additional resources. Notes on global hyperbolicity.
In my lecture series I will discuss the need of convergence for formal star products if one is interested in an honest quantum mechanical application of deformation quantization. Several competing approaches will be compared. In a series of examples I will advocate to take the series serious. Convergence and continuity of the star products can be shown in several important cases.
There will also be two exercise sessions held by Michael Heins.
Additional resources. Notes.