The KMPB 2026/27 Winter Semester Kick-Off Meeting will take place on Friday, 16 October, from 9:00 to 12:00 in room 1.221
Schedule:
09:00-09:45 Talk by Jan Pulmann – Symplectic geometry behind the Feynman path integral
09:45-10:30 Talk by Olaf Müller – Extendibility of Black hole spacetimes
10:30-11:00 Coffee break
11:00-12:00 KMPB member’s meeting
12:00- Optional lunch together
Jan Pulmann – Symplectic geometry behind the Feynman path integral
Abstract: Classical mechanics is naturally formulated using symplectic geometry, which is a coordinate-independent way to speak about positions and momenta. It was noticed in the 90’s that one can similarly describe the path integral formulation of quantum field theory; the main difference being that the momenta have opposite statistics. This goes under the name of Batalin-Vilkovisky formalism. I will present the basic ideas of Batalin-Vilkovisky formalism and some of my recent results on effective actions therein.
Olaf Müller – Extendibility of Black hole spacetimes
Abstract: A classical result of mathematical general relativity states that the Schwarzschild metric of mass $m$ admits a maximal analytic extension $K_m$ in which the singularity is reached at a finite time and which is not further extendible as a $C^2$ spacetime. I will comment on tweo recent developments on this result: The first is a result by Jan Sbierski stating that the above result holds even in the $C^0$ category, and second, a result of mine that $K_m$ is still extendable as a Lorentzian length space. I will also comment on ongoing work with the aim to show that this space is timelike geodesically non-branching, and on the relevance of that property.