Munich Summer Colloquium in Mathematics

Wednesday, June 10, 2026

Venue: Carl Friedrich von Siemens Stiftung (Nymphenburg)

Featuring lectures from the world's leading mathematicians, the annual Munich Summer Colloquium is jointly organized by the Ludwig-Maximilians Universität München and the Technische Universität München.

Invited Speakers

Yann Brenier

Directeur de recherches CNRS, LMO, Université Paris-Saclay.

Bernd Sturmfels

Max Planck Institute for Mathematics in the sciences, Leipzig

Program

15:30 Welcome

15:35 Yann Brenier, Solving initial value problems by space-time convex optimization

16:35 Coffee break

17:00 Bernd Sturmfels, On Lines and Particles

18:00 Reception

Abstracts

Yann Brenier, Solving initial value problems by space-time convex optimization

I will present a way to solve the Cauchy problem for nonlinear evolution PDEs by space-time convex optimization based on their weak formulation. One of the simplest example is the quadratic porous medium equation for which the Aronson–Benilan inequality is sharply used to prove that the strategy works for arbitrarily long time intervals. A similar result holds true for the Burgers equation. For the more challenging Euler equations of incompressible fluids, the concept of subsolution (in the sense of convex integration theory) plays a crucial role. Finally, I will mention how the Einstein equations in vacuum can be considered in thatframework.

Bernd Sturmfels, On Lines and Particles
Momentum twistors in particle physics are lines in 3-space. We explain how this works and what it means for configurations of lines. Algebraic geometry provides a common language for line incidences, rigidity theory of graphs, and Feynman integrals for scattering amplitudes.

We thank the Carl Friedrich von Siemens Stiftung for hosting this event.

Organizing committee

Gero Friesecke (TUM)
Nina Gantert (TUM)
Sebastian Hensel (LMU)
Christian Liedtke (TUM)
Phan Nam (LMU)
Konstantinos Panagiotou (LMU)

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