Explore a captivating lecture on the concept of glamour in mathematics, delivered by Jared Weinstein from Boston University at the Fields Institute. Delve into the aesthetic virtues of mathematics, focusing on the notion of glamour as a unique aesthetic quality. Examine semistable families of curves, modular curves, and perfectoid rings. Investigate the Lubin-Tate space and its connection to the Langlands program. Gain insights into the intersection of visual arts and mathematics, and ponder thought-provoking questions about the role of aesthetics in mathematical research.
Overview
Syllabus
Intro
Virtues of aesthetics in visual arts and mathematics
A further virtue: glamour
Glamour as an aesthetic virtue
Goal of this talk
Semistable families of curves (base P)
The modular curves X(0)
The modular curve X(p ), modulo p
Special fiber of a semistable model of X
Part III: Perfectold Rings
Setup for perfectoid spaces
The perfectoid ball
Illustration of an adic space, by Wayne Peng
Lubin-Tate space at infinite level
Part IV: Contact with the Langlands program
Lubin-Tate space and local Langlands
Parting questions
Taught by
Fields Institute
