Bhargav Bhatt: Algebraic Geometry in Mixed Characteristic

Bhargav Bhatt: Algebraic Geometry in Mixed Characteristic

International Mathematical Union via YouTube Direct link

Connections to algebraic K-theory

8 of 12

8 of 12

Connections to algebraic K-theory

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Bhargav Bhatt: Algebraic Geometry in Mixed Characteristic

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

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