Algebraic Geometry Seminar
Tautological relation on Picard stack
2024/09/18 (Wed.) 15:00~17:00
- Date : 2024/09/18 (Wed.) 15:00~17:00
- Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
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Speaker : Hyenho Lho (Chungnam National University)
- Host(s) : Ionut Ciocan-Fontanine and Y.P. Lee (AS)
- Organizer : Ionut Ciocan-Fontanine and Adeel Khan and Y.P. Lee (AS)
- Abstract : Tautological relation on the moduli space of stable curves were studied by several method. I will reveiw the method used by Pandharipande-Pixton to prove the tautological relation on the moduli space of stable curvse using stable quotient. I will explain how to extend the result to get tautological relations on relative Picard stack over the moduli space of stable curves by constructing the stable quotient over Picard stack. After this I will explain how to get the result on the Picard stack which extends the original form of tautological relation given by Faber and Zagier. This talk is based on the joint work in progress with Younghan Bae.
