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[5:15pm] Nitin Nitsure
 Description:
 Geometry and Topology seminar.
Speaker: Nitin Nitsure.
Date and Time: Monday 02 March, 05:15 pm  06:30 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Cotangent complex and applications  Lecture No. 2.
Abstract: Differential 1forms are very useful in the study of
multivariate calculus or smooth manifolds. Algebraically, the module of
Kahler differentials is very useful in commutative algebra. When the
spaces (or varieties) are not smooth but have singularities, differential
1forms are not enough. Instead there is available a more general gadget
called the cotangent complex in commutative algebra as well as in
algebraic geometry. This series of talks will begin by recalling usual
differential forms and Kahler differentials in familiar setting, and then
introduce the cotangent complex. Applications to smoothness, local
complete intersections and deformation theory will be shown. Some
familiarity with the language of commutative algebra will be assumed.


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