Seminarium Gamma

Dirac structures are the least common multiple of (pre)symplectic and Poisson structures. What about an analogous concept for multi(pre)symplectic and higher Poisson structures? The answer should clearly bear the name of higher Dirac, but we will see that its definition is not so straightforward as one could expect. By always keeping in mind the analogy with standard Dirac structures, we will define, geometrically describe and integrate higher Dirac structures. This is joint work with H. Bursztyn and N. Martínez-Alba.