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It has been understood since the 1980s that there is a deep
connection between finiteness conditions on categories of maximal
Cohen-Macaulay modules and the character of particular isolated
singularities. This can be understood in terms of stable module
categories, which are nice examples of triangulated categories.
Grothendieck duality describes an important property of another nice
triangulated category, the bounded derived category of coherent
sheaves on a projective variety. Recent work involving compactly
generated homotopy categories has given us new insight into both
problems. I will talk about these developments, including results
from my PhD thesis.
After the seminar we will take the speaker to lunch. See the Algebra Seminar web page for information about other seminars in the series. Anthony Henderson anthonyh@maths.usyd.edu.au. |