## 3:45PM: Zipping Tate resolutions and exterior coalgebras

This is the general construction of how one may start from an arbitrary Tate resolution (an exact free complex) $T$ over the exterior algebra $E(V)$, zip it with (the dual of) $E(W)$ and get a complex of $S(V \otimes W^*)$-modules. For specific $T$ one obtains classical and newer pure resolutions.