Definition 2.11. The category of condensed sets is given by the ltered colimit of the category of -condensed sets along the ltered poset of all uncountable strong limit cardinals .

These lecture notes correspond to a course given in the Spring semester of 2024 in the math and physics departments of Princeton University.

Among the most commonly occuring phases of matter–gas, liquid and solid–the latter two belong to the realm of “condensed matter” (sketches of these two phases see Fig.1). In this class we will almost …

We understand the role of disorder for the QHE. In large parts of this chapter we follow reference [2]. The Lorentz force acting on charged particles moving in a two-dimensional plane leads to a build-up …

These are notes based on condensed mathematics learning seminar at Princeton Uni-versity organized by Vadim Vologodsky and Bogdan Zavyalov. The goal is to understand the notion of solid A-module.

This is a set of lecture notes taken from UChicago’s PHYS 366 (Advanced Condensed Matter Physics), taught by Kathryn Levin.

In the rest of this chapter we will attempt to give a more precise (but far from unique) definition of condensed matter physics, and discuss how to classify, theoretically describe, and experimentally …