22nd Colloquium on Mathematical Foundations of Quantum Theory March 24, 2026
About
The Colloquium on Mathematical Foundations of Quantum Theory is a recurring event organized by the groups of Dirk - André Deckert (LMU Munich), Wojciech Dybalski (U Poznań), Felix Finster (U Regensburg), and Peter Pickl (U Tübingen).
Location: Lecture hall B005 (the entraces facing Theresienstrasse are on the bottom of the room map)
Address: Department of Mathematics at LMU Munich, Theresienstr. 37/39, 80333 Munich
Hotel suggestions:
Program
| Time | Event | Speaker/Description |
| 12:30-14:00 | Lunch |
Restaurant Khana Khazana
(Indian Restaurant)
@ Theresienstraße 54 |
| 14:00-15:00 | Talk | Patrick Fischer |
| 15:00-15:10 | Discussion & Break | |
| 15:10-16:10 | Talk | Benjamin Hinrichs |
| 16:10-16:30 | Discussion & Break | |
| 16:30-17:30 | Talk | Christian Hainzl |
| 17:30-17:40 | Discussion & Break | |
| 18:00 | Dinner | Maex41 (Italian Restaurant/Bar) @ Map |
Talks
Analysis of the Causal Action Principle for Globally Hyperbolic Spacetimes
Speaker: Patrick Fischer
Abstract: In my talk, I will present the construction of a causal fermion system encoding a globally hyperbolic spacetime (M, g) via the analysis of the Dirac equation. To rigorously define the geometric state, I determine the epsilon-regularized local correlation map from a quasi-free Dirac Hadamard state, which fixes the underlying Hilbert space H and the measure rho on the set of operators F subset L(H). Applying the Schwinger-DeWitt expansion to the regularized solutions yields the local expansion of the kernel of the fermionic projector, providing a framework to analyze the causal action principle rigorously in the continuum limit (epsilon to 0). Finally, I demonstrate that the spacetime is a critical point at leading order, while recovering the trace-free Einstein equations at next-to-leading order.
A Hamiltonian Approach to Wavefunction Renormalization
Speaker: Benjamin Hinrichs
Abstract: Interactions involving quantum fields exhibit infrared and ultraviolet singularities that make their mathematical description highly challenging. To overcome them, a natural algebraic approach is to consider the singular models in their ground state representation. In this talk, I will introduce a wavefunction renormalization scheme and show that it provides a Hamiltonian version of this algebraic idea. We will first develop this approach in the exactly solvable van Hove model and, subsequently, sketch how the same renormalization procedure applied to linear interactions between quantum fields and non-relativistic matter provides novel insights on both the ultraviolet and the infrared problem. The talk is based on joint work with Marco Falconi and Javier Valentín Martín.
On the correlation energy of fermonic systems
Speaker: Christian Hainzl
Abstract: I will review recent results on the correlation energy of fermonic systems, and I will give a bit more details for low density fermi gases.