November 19, 2025

Evolution of Stacks and Moduli

Key Points

Stacks are vital in understanding the evolution of moduli theory, influencing modern perspectives.
Key concepts trace back to Riemann's work, leading to significant developments in moduli spaces.
The analysis focuses on the evolutionary aspect of solutions to questions about varieties.
These insights suggest a deepening understanding of mathematical structures and their applications.

Abstract

We are singularly focused on the question: Why do moduli spaces exist as varieties? By surveying how solutions to this question have evolved since Riemann’s work in the 1850s, we will reveal many of the central ideas in modern moduli theory, and we will do so using the language of stacks.

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Cite This Study

Jarod Alper (Wed,) studied this question.

synapsesocial.com/papers/6924fed8c0ce034ddc3510b8 https://doi.org/https://doi.org/10.1090/noti3280

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