Multisymplectic (co-)momentum geometry

Leonid Ryvkin (U Duisburg)

Sep 21. 2020, 14:00 — 14:40

The existence of a (co)moment is an important prerequisite for many constructions in symplectic geometry. The recent discovery of a multisymplectic comoment, that is a morphism of $L_\infty$-algebras, opened the pathway to reduction and quantization procedures in the multisymplectic realm.
In this talk we will give a geometric characterization of the existence of multisymplectic comoments. We will look at the case of actions on n-dimensional spheres and discuss what can still be done, when no homotopy comoment exists. 

Further Information
Venue:
ESI Boltzmann Lecture Hall
Associated Event:
Higher Structures and Field Theory (Thematic Programme)
Organizer(s):
Anton Alekseev (U Genève)
Stefan Fredenhagen (U Vienna)
Nicolai Reshetikhin (UC, Berkeley)
Thomas Strobl (U Lyon)
Chenchang Zhu (U Göttingen)