Lecture series on algebraic stacks
Tuesday, 23 January 2024, 11:30 AM
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Venue: Room 105
Host: Sudarshan Gurjar
Speaker: Nitin Nitsure
Affiliation: Bhaskaracharya Pratishthana, Pune
Title: Separated and proper morphisms of schemes
Abstract: The basic theory of separated and proper morphisms of schemes, developed by Grothendieck, is explained in Hartshorne's book `Algebraic Geometry' chapter 2 section 4. We will look at it from the perspective of functors of points. The functorial point of view is essential for Artin's extension of the theory of such morphisms first to algebraic spaces and then to algebraic stacks, which are going to be our next topics.