Title of Seminar: Algebraic Geometry Preprint Seminar 2022
Title of Talk: Singular Principal Bundles
Speaker: Arusha C, TIFR Mumbai
Date: October 18, 2022
Time: 16:00:00 Hours
Venue: AG-77
Abstract: The talk will be based on the article "Singular Principal Bundles on Reducible Curves" by Angel Luis Munoz Castaneda and Alexander Schmitt (https://mathscinet.ams.org/mathscinet-getitem?mr=4337924). Singular principal bundles on smooth projective manifolds were introduced by A. Schmitt in 2002 and were extended to a wide class of singular varieties by U.N. Bhosle. The results of the paper together with the previous works of the authors prove the existence of a universal moduli space (of semistable singular principal bundles) over the moduli space of stable curves thus providing an analogous moduli space to the one obtained by R. Pandharipande for vector bundles. In an earlier work, A. Castaneda had reduced the construction of this universal moduli space to the construction of the moduli space of swamps. I will briefly outline their methods.
Title of Talk: Singular Principal Bundles
Speaker: Arusha C, TIFR Mumbai
Date: October 18, 2022
Time: 16:00:00 Hours
Venue: AG-77
Abstract: The talk will be based on the article "Singular Principal Bundles on Reducible Curves" by Angel Luis Munoz Castaneda and Alexander Schmitt (https://mathscinet.ams.org/mathscinet-getitem?mr=4337924). Singular principal bundles on smooth projective manifolds were introduced by A. Schmitt in 2002 and were extended to a wide class of singular varieties by U.N. Bhosle. The results of the paper together with the previous works of the authors prove the existence of a universal moduli space (of semistable singular principal bundles) over the moduli space of stable curves thus providing an analogous moduli space to the one obtained by R. Pandharipande for vector bundles. In an earlier work, A. Castaneda had reduced the construction of this universal moduli space to the construction of the moduli space of swamps. I will briefly outline their methods.