This is a learning seminar on Rigid connections. We plan to study a recent work of Esnault--Groechenig (https://arxiv.org/abs/2309.15949) and the Fourier transform algorithm for rigid connections on P1 due to Katz [Kat96] and Arinkin [Ari10]. Please find the attached file for more information.
Koji Shimizu (YMSC) and Daxin Xu (MCM)
Monday 14:30--16:00
Venue:
MCM110
Tentative Plan:
The main goal of this seminar is to study various results around rigid connections: existence of a Frobenius structure on a rigid connection due to Esnault–Groechenig [EG23], application to Simpson's integral conjecture, and the Fourier transform algorithm for rigid connections on the projective line due to Katz and Arinkin [Ari10].
[Ari10] D. Arinkin, Rigid irregular connections on P1, Compos. Math. 146 (2010)
[EG23] H. Esnault and M. Groechenig, Cristallinity of rigid flat connections revisited, arXiv:2309.15949v2 (2023)
Upcoming talks:
Date: April 29
Time: 2:30-4 pm
Venue: MCM 110
Title: Review of Fourier transform and local Fourier transform
Speaker: Xiecheng Nie (MCM)
Date: May 6
Time: 2:30-4 pm
Venue: MCM 110
Title: Fourier transform reserves cohomological rigidity
Speaker: Hongjie Yu (MCM)
Date: May 13
Time: 2:30-4 pm
Venue: MCM 110
Title: Rigidity index and rank of the Fourier transform
Speaker: Yezheng Gao (MCM)
Date: May 20
Time: 2:30-4 pm
Venue: MCM 110
Title: Proof of main results
Speaker: Yong Suk Moon (BIMSA)
Date: March 4
Time: 2:30-4 pm
Venue: MCM 110
Title: Overview of the p-adic geometry learning seminar
Speaker: Daxin Xu (MCM)
Date: March 11
Time: 2:30-4 pm
Venue: MCM 110
Title: Higgs–de Rham flow
Speaker: Mao Sheng (USTC)
Date: March 18
Time: 2:30-4 pm
Venue: MCM 110
Title: p-adic topology on W-points of a scheme or stack
Speaker: Junwei Wu (MCM)
Date: March 25
Time: 2:30-4 pm
Venue: MCM 110
Title: Frobenius pullback functor for flat connections
Speaker: Koji Shimizu (YMSC)
Date: April 1
Time: 2:30-4 pm
Venue: MCM 110
Title: Rational F-isocrystal property
Speaker: Chenglong Ma (PKU)
Date: April 8
Time: 2:30-4 pm
Venue: MCM 110
Title: Integral Frobenius structure
Speaker: Zhaofeng Yu (Tsinghua)
Date: April 15
Time: 2:30-4 pm
Venue: MCM 110
Title: Applications to integrality and p-curvature conjectures
Speaker: Jiahong Yu (PKU)
Date: April 22
Time: 2:30-4 pm
Venue: MCM 410
Title: Review of formal connections on a punctured disc
Speaker: Yupeng Wang (PKU)
