Mathematics 290

Advanced seminar on Gestalten theory (133242)

Tomer Schlank

2026 Fall (4 Credits)

Schedule: R 0300 PM - 0545 PM

Instructor Permissions: None

Enrollment Cap: n/a

The interplay between geometry and algebra has been a guiding principle in modern mathematics. A central example is the theory of schemes, which geometrizes commutative rings; other examples include rigid geometry and spectral algebraic geometry. Another key idea is categorification. In this seminar, we will study the recent theory of Gestalten developed by Scholze and Stefanich, which pushes these ideas further by encoding very general geometric objects through ((\infty,\infty))-categories. This will be an introductory seminar based on Scholze’s lecture notes.

Prerequisites:

: