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Kodaira vanishing in mixed characteristic
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Classroom Contents
Bhargav Bhatt: Algebraic Geometry in Mixed Characteristic
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- 1 Intro
- 2 Motivating goal
- 3 The geometric backdrop: Hensel's p-adic world (1997)
- 4 Progress from the 20th century
- 5 A 21st century upgrade: prismatic cohomology
- 6 The shape of prismatic cohomology
- 7 Semistable reduction
- 8 Connections to algebraic K-theory
- 9 New calculations in algebraic K-theory
- 10 Kodaira vanishing in mixed characteristic
- 11 Interlude: Serre's global-to-local dictionary
- 12 Kodaira vanishing: variants and applications
