(PhD) Minicourse 8 hours 
Leonid Ryvkin (ICJ  Lyon ) 
Antonio Michele Miti (Sapienza  Rome ) 
Where:  Università degli Studi di Salerno
... [TBA] 
When:  May 2024, 2024 
Contacts 
leonid [at] ryvkin [dot] eu
antoniomichele [dot] miti [at] uniroma1 [dot] it 
Let M be a manifold with a geometric structure and sufficiently nice G a symmetry group, often the geometric structure can be transferred to M/G. In (multi)symplectic geometry, reduction procedures permit to transfer the differential form to an even smaller space. However, all approaches working directly on the space have very strong regularity requirements. We present an approach to reducing the algebra of (multi)symplectic observables for general (covariant) moment maps, without any regularity assumptions of the level sets (and the symmetries). Even in the wellstudied symplectic case, this construction is distinct from preexisting ones. Based on joint work with Casey Blacker.
 C. Blacker, Reduction of multisymplectic manifolds, Lett. Math. Phys., 2021, https://doi.org/10.1007/s1100502101408y
 C. Blacker, A. Miti & L. Ryvkin, Reduction of L_{∞}algebras of observables on multisymplectic manifolds, Submitted, 2022, https://arxiv.org/abs/2206.03137
 A. Miti & L. Ryvkin, Constraint observable algebras, (in preparation).
Mon 20/5/24  Lecture 1: (Ryvkin)

Tue 21/5/24  Lecture 2: (Ryvkin)

Thu 23/5/24  Lecture 3: (RyvkinMiti)

Fri 24/5/24  Lecture 4: (Miti)
