Data inizio – Data fine: 01 Settembre 2018 - 30 Novembre 2018
Ente di provenienza: Universidade Federal de Pernambuco
Dipartimento di destinazione: DISMA - Dipartimento di Scienze Matematiche G. L. Lagrange
Coordinatore al Politecnico: LETTERIO GATTO
During my visit I expect to carry the following activities:
● Teach a course at the graduate level
● Offer seminar lectures on topics of joint interest
● Take up mathematical discussions with members of the Department of
The first above activity would typically consist of an advanced course in commutative algebra with a strong view towards aspects of effectiveness (i.e., the potentiality of computer implementation regarding the main objects).
The second activity could be a series of lectures for advanced students and researchers on determinantal rings and varieties, a topic of strong interest for both commutative algebraists and algebraic geometers. Choosing such a topic has to do
with the fact that it carries various angles, with techniques from matrix and vector spaces through rings and ideals to projective varieties.
The third activity will depend on the existing common interest as a potential for projected joint research. One topic which looks promising in such a commitment is the theory of Ulrich bundles. The advantage of targeting this subject lies in its own
roots, having been first observed and developed by commutative algebraists, later taken up by algebraic geometers to a status of general interest in the area.