Informal Moduli Seminar Archives for Fall 2024 to Spring 2025

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The Keel-Mori Theorem

When: Tue, July 2, 2024 - 2:00pm
Where: Kirwan Hall 3206
Speaker: Myeong Jae Jeon (UMD) -

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Cancelled

When: Mon, July 8, 2024 - 2:00pm
Where: Kirwan Hall 3206

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Definition and basic properties of good moduli spaces

When: Wed, June 4, 2025 - 2:00pm
Where: Kirwan Hall 3206
Speaker: Junyan Zhao (UMD) - https://sites.google.com/uic.edu/jzhao

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The local structure of algebraic stacks

When: Wed, June 11, 2025 - 2:00pm
Where: Kirwan Hall 3206
Speaker: Myeong Jae Jeon (UMD) -

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Cancelled

When: Wed, June 18, 2025 - 2:00pm
Where: Kirwan Hall 3206

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Good moduli gerbes, root stacks and valuative criteria

When: Wed, June 25, 2025 - 2:00pm
Where: Kirwan Hall 1308
Speaker: Dori Bejleri (UMD) - https://math.umd.edu/~dbejleri/
Abstract: Good moduli space maps are generally far from separated. However for many purposes they behave as if they are proper maps. In this talk I will explain two recent results in this direction (joint with Elmanto, Satriano and Inchiostro, Satriano respectively) 1) that a universal family exists over a proper generically finite covering of the good moduli space, and 2) that the good moduli space map satisfies a strong version of the existence part of the valuative criterion of properness. Along the way I will explain several structural results about good moduli spaces and especially gerbes.

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