The theory of windows was introduced relatively recently by both Halpern-Leistner and Ballard, Favero and Katzarkov, and is a great tool to study derived categories of algebraic varieties that appear as GIT constructions, as well as their behavior at wall crossings as we vary the stability conditions. We will discuss this theory and explore different applications, from cohomology computations to semi-orthogonal decompositions.
Note:
Refreshments at 3:45PM.