Prof. Dr. Roland Speicher
Felix Leid
NonCommutative (Algebraic) Geometry
(Winter Semester 2017/2018)News
 The lecture on Monday, December 18, takes place in Zeichensaal (U.39) in (lecture hall)building E2 5.
 The first exercise sheet is online.
 The lecture on Monday, December 11, takes place in SR9.
 The Thursday lectures start at 12:00 st.
Lecture
Monday, 10  12, and Thursday, 12  14Lecture Hall IV, Building E2 4
Classical spaces (e.g., topological, measurable, geometric) can be encoded via functions on those spaces; and very often classical mathematical theories can be reformulated in terms of the algebras of these functions. Clearly those function algebras are commutative. Noncommutative versions of these theories consist then in giving up the requirement of commutativity of the algebras, but keeping as much as possible of the remaining structures and ideas. Noncommutative geometry is such a noncommutative version of classical algebraic geometry.
Whereas classical algebraic geometry deals with solutions of systems of equations in commuting variables by looking on corresponding commutative algebras, noncommutative algebraic geometry is trying to deal with equations in noncommuting variables by looking on noncommutative algebras in a similar way.
At the moment there are many bits and pieces of such a theory, but the final picture has still to be found. We will address various pieces, like:

Lecture Announcement
Exercises
The date for the exercise sessions will be announced here.sheet 1
updated: 24 October 2017 Felix Leid