13.12.2023, 14:00
– Campus Golm, Building 9, Room 2.22
Institutskolloquium
Exploring the International Mathematical Union
Norbert Schappacher (Strasbourg), Marie-Françoise Roy (Rennes)
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.