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EMGW05 | Dr. Michele Pernice | Good moduli space of $A_r$-stable curves
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Speaker: Dr Michele Pernice (KTH - Royal Institute of Technology)
Date: 18th Jun 2024 - 14:00 to 14:40
Venue: INI Seminar Room 1
Title: Good moduli space of $A_r$-stable curves
Event: (EMGW05) Moduli stacks and enumerative geometry
Abstract: The search for alternative compactifications of the moduli space of smooth curves has been central in the panorama of moduli spaces and a possible way to construct such compactifications is allowing curves with worse-than-nodal singularities. Curves with $A_r$-singularities, which we call $A_r$-stable, naturally appear in the literature as a possible choice. This project focuses on proving the existence of the good moduli space of a suitable open of the moduli stack of $A_r$-stable curves. We will explain the choice of the open by showing what the obstructions to $S$-completeness and $\Theta$-reductivity are for the stack of $A_r$-stable curves. This is an on-going project with Davide Gori and Ludvig Modin.
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The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period.
Date: 18th Jun 2024 - 14:00 to 14:40
Venue: INI Seminar Room 1
Title: Good moduli space of $A_r$-stable curves
Event: (EMGW05) Moduli stacks and enumerative geometry
Abstract: The search for alternative compactifications of the moduli space of smooth curves has been central in the panorama of moduli spaces and a possible way to construct such compactifications is allowing curves with worse-than-nodal singularities. Curves with $A_r$-singularities, which we call $A_r$-stable, naturally appear in the literature as a possible choice. This project focuses on proving the existence of the good moduli space of a suitable open of the moduli stack of $A_r$-stable curves. We will explain the choice of the open by showing what the obstructions to $S$-completeness and $\Theta$-reductivity are for the stack of $A_r$-stable curves. This is an on-going project with Davide Gori and Ludvig Modin.
-------------------
FOLLOW US
SEMINAR ROOMS
ABOUT
The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period.