This is a learning seminar on manifolds and homotopy theory organized by Azélie Picot, Sangmin Ko and myself.
We aim to learn a breadth of applications of homotopy theory to the study of manifolds. Some topics we will cover include homological stability results for the moduli space of genus g surfaces or the general linear groups over a field, and ways in which K theory can relate to manifolds. We also will vary topics based on the interest of participants and may include applications to representation theory and arithmetic statistics.
Location: TBD
Meeting Time: TBD
Syllabus: Found here (WIP)