CODE 42911 ACADEMIC YEAR 2016/2017 CREDITS 7 cfu anno 2 MATEMATICA 9011 (LM-40) - 7 cfu anno 1 MATEMATICA 9011 (LM-40) - SCIENTIFIC DISCIPLINARY SECTOR MAT/02 LANGUAGE Italiano TEACHING LOCATION SEMESTER 2° Semester TEACHING MATERIALS AULAWEB OVERVIEW Language: Italian This is a course on Commutative Algebra, and will be centered on the issue of the lack of bases for modules over a ring: most modules are not free, so one has to "approximate" them in some way. The better is the approximation, the better is the ring, in a sense that agrees with the geometric concept of singularities: we will see in detail regular ring, Cohen-Macaulay rings, UFD's, techniques from homological algebra AIMS AND CONTENT TEACHING METHODS Teaching style: In presence SYLLABUS/CONTENT Homological algebra. Hilbert functions. Regular sequences. Grade and depth. The Koszul complex. Free resolutions. Regular rings. Cohen-Macaulay rings. Complete intersections. Gorenstein rings. Canonical modules and local cohomology. Stanley Reisner rings, determinanntal rings. TEACHERS AND EXAM BOARD MATTEO VARBARO Exam Board MATTEO VARBARO (President) ALDO CONCA EMANUELA DE NEGRI LESSONS LESSONS START February 27, 2017 Class schedule HIGHER ALGEBRA 2 EXAMS EXAM DESCRIPTION The Exam schedule Data appello Orario Luogo Degree type Note 20/06/2017 09:00 GENOVA Orale 29/08/2017 10:00 GENOVA Orale
