Advanced seminar on Gestalten theory
MATH 290
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Course Information
Description
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.
School
Faculty of Arts & Sciences
Credits
4
Cross Reg
Available for Harvard Cross Registration
Department
Mathematics
Course Component
Lecture
General Education
N/A
Quantitative Reasoning with Data
N/A
Divisional Distribution
Science & Engineering & Applied Science
Course Level
Primarily for Graduate Students
