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Part III: Perfectold Rings
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Classroom Contents
The Glamorous Variety
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- 1 Intro
- 2 Virtues of aesthetics in visual arts and mathematics
- 3 A further virtue: glamour
- 4 Glamour as an aesthetic virtue
- 5 Goal of this talk
- 6 Semistable families of curves (base P)
- 7 The modular curves X(0)
- 8 The modular curve X(p ), modulo p
- 9 Special fiber of a semistable model of X
- 10 Part III: Perfectold Rings
- 11 Setup for perfectoid spaces
- 12 The perfectoid ball
- 13 Illustration of an adic space, by Wayne Peng
- 14 Lubin-Tate space at infinite level
- 15 Part IV: Contact with the Langlands program
- 16 Lubin-Tate space and local Langlands
- 17 Parting questions
