
Daniel Chan
University of New South Wales
Noncommutative surface singularities
Friday 29th October, 12:0512:55pm,
Carslaw 175.
Orders are examples of noncommutative rings for which many of
the techniques of algebraic geometry can be used to study them. In this
talk, I will give a leisurely introduction to some of the basic theory of
orders. I will then look at some orders which are noncommutative analogues
of quotient surface singularities. In the commutative case, there is a
rich theory associated to these, and it seems that a similar picture is
forming in the noncommutative case for orders. Our point of departure is
the geometric notion of discrepancy which has come into vogue with the
advent of Mori theory. This is quite different from other approaches via
algebraic properties of quotient singularities. If time permits,
applications to algebraic geometry will be given.
This is joint work with Colin Ingalls and Paul Hacking.







