| Speaker: | Chris Brav (SIMIS) |
|---|---|
| Title: | Noncommutative geometry at infinity |
| Date (JST): | Thu, May 07, 2026, 13:30 - 15:00 |
| Place: | Seminar Room B |
| Abstract: |
In topology, one studies the boundary at infinity of a nice topological space in terms of the limit of complements of compact subsets. In algebraic geometry, there are at least two different approaches to defining the boundary at infinity: via some form of rigid analytic geometry (for example, solid algebraic geometry of Clausen-Scholze), and another via noncommutative geometry of differential graded categories, due to Efimov. We give a unified construction of the boundary at infinity compatible with both the analytic and noncommutative points of view. We motivate our construction by focusing on an explicit example that can be viewed from both topological, symplectic, and algebraic points of view, namely that of local systems on the circle. This is joint work in progress with Yuan Gao and Yingdi Qin. |
