Organizers: Chen Miaofen, Ding Yiwen, Gao Hui, Hu Yongquan, Xiao Liang
The aim of this workshop is to understand the recent work "Local models for Galois deformation rings and applications" by Le-Le Hung-Levin-Morra.
This is continuation of Part 1 of the workshop (held during April 3-5)
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April 17, MCM 110 & Online |
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Time |
ZOOM |
Speaker |
Content |
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09:00-11:00 |
Zoom: 4663562952
Pswd: mcm1234 |
Chen Miaofen |
§5 Stack of Breuil-Kisin modules |
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11:30-12:30 |
Gao Hui |
§7 Stack of potentially crystalline representations: Part 1 |
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Lunch break |
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14:00-15:00 |
Zoom: 4663562952
Pswd: mcm1234 |
Gao Hui |
§7 Stack of potentially crystalline representations: Part 2 |
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15:30-17:30 |
Zoom: 6149018 471
Pswd：localmodel |
Hu Yongquan |
§8-9 Breuil-Mezard conjecture and Serre weight conjecture |
Speaker: Chen Miaofen （华东师范大学）
Time: 09:00-11:00 April 17
Place: MCM110&ZOOM (Zoom ID: 466 356 2952 Password: mcm1234)
Title: Stack of Breuil-Kisin modules
Abstract: This is part of the “Workshop on Local models for Galois deformation rings”. I will compare stacks of Breuil-Kisin modules with tame descent data and Pappas-Zhu local models, and prove the local model diagram.
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Speaker: Gao Hui（南方科技大学）
Time: 11:30-12:30 April 17
Place: MCM110&ZOOM (Zoom ID: 466 356 2952 Password: mcm1234)
Title: Stacks of potentially crystalline representations: I
Abstract: This is part of the “Workshop on Local models for Galois deformation rings”. I will compare Emerton-Gee stacks of potentially crystalline representations with the moduli stacks of Breuil-Kisin modules with tame descent data.
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Speaker: Gao Hui（南方科技大学）
Time: 14:00-15:00 April 17
Place: MCM110&ZOOM (Zoom ID: 466 356 2952 Password: mcm1234)
Title: Stacks of potentially crystalline representations: II
Abstract: In my second talk, I will compare the tame potentially crystalline Emerton-Gee stack and the local models. Using this, I will describe a sufficiently generic portion of the reduced special fiber of the Emerton-Gee stack.