15.05.2024, 14:00 - 16 00
– Campus Golm, Building 9, Room 2.22 and via Zoom
Institutskolloquium
Colloquium with Karen Strung (Prag) and Sven Raum (Potsdam)
Karen Strung (Prag), Sven Raum (Potsdam)
We describe a natural construction of deformation quantization on a compact symplectic manifold with boundary. On the algebra of quantum observables a trace functional is defined which as usual annihilates the commutators. This gives rise to an index as the trace of the unity element. We formulate the index theorem as a conjecture and examine it by the classical harmonic oscillator.