Algebraic geometry seminar in person plus on zoom

[Alessandro Nobile]

Next seminar, tomorrow at 4:30pm, room Boris Dubrovin 136

Speaker: Ajay Gautam (Sissa)

Title: Motivating stacks using moduli theory

Abstract: Moduli of algebraic curves are of classical interest. Stated in terms of functors, the problem boils down to the question of representability of the moduli functor by a scheme and existence of a universal family over the said scheme. Existence of non-trivial automorphisms for algebraic curves implies that such moduli problems cannot be solved in the setting of schemes. Historically, attempts to find a reasonable geometric solution to this moduli problem led to the notion of stack. I will attempt to show the problems with the classical theory and give a flavor of how stacks provide a resolution, using, as an example, the moduli of elliptic curves.

Join Zoom Meeting
https://sissa-it.zoom.us/j/83917587333?pwd=amVZSW54bkROS2U0Ly9HbVJYK3c2QT09

Meeting ID: 839 1758 7333
Passcode: 712636