Seminario di Gemetria Algebrica
Il Prof. Peter Schuster (Mathematisches Institut, Universitaet Muenchen; Dipartimento di Filosofia, Università degli Studi di Firenze) terrà un seminario su
Spectral Schemes as Distributive Lattices
il giorno venerdì 19 giugno alle ore 11:30 nella sala seminari "Franco Tricerri".
Abstract: A partial realisation of Hilbert's programme has recently proved successful in commutative algebra. One of the key tools is Joyal's point-free presentation of the Zariski spectrum as a distributive lattice. Extending this to algebraic geometry requires to first reformulate Grothendieck's language of schemes in first-order terms. It turns out that distributive lattices even suffice for all the schemes whose underlying topological spaces are spectral, which includes the Noetherian schemes.