MATH 740:
Homological Algebra: An Introduction to Derived Categories (Fall 2006)
Instructor:
Yuri Berest
Meeting
Time & Room
The notion of derived category has originated in the works of A. Grothendieck
and J.-L. Verdier in an attempt to develop a proper
foundation for various cohomology theories in algebraic geometry.
Over the past decades, these categories have become indispensable
in algebraic geometry and made their way into many other areas of mathematics,
including algebra, representation theory, differential
geometry and algebraic topology. Recently, they have also found applications
in physics, becoming apparently the language of choice
for string theorists...
The course is intended for graduate students working in
various areas of mathematics who want to learn the language and techniques
of homological algebra. I will try to give a gentle introduction to
the theory of derived and triangulated categories with a view towards
applications in algebra and geometry.
Last modified:
April 25, 2006
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