SMS scnews item created by Anthony Henderson at Mon 15 Oct 2007 1211
Type: Seminar
Distribution: World
Expiry: 19 Oct 2007
Calendar1: 19 Oct 2007 1205-1255
CalLoc1: Carslaw 373
CalTitle1: Algebra Seminar: Murfet -- Homotopy categories, Grothendieck duality and singularities
Auth: anthonyh@asti.maths.usyd.edu.au

Algebra Seminar

Homotopy categories, Grothendieck duality and singularities

Daniel Murfet

19th October, 12:05-12:55pm, Carslaw 373


Abstract

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.



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