Generalized cohomology theories twisted by higher classes
Speaker: Hisham Sati, University of Pittsburgh
Abstract: K-theory can be twisted by degree three cohomology classes. The resulting twisted K-theory has many interesting connections to geometry, topology, analysis, and physics. I will consider other generalized cohomology theories and describe their twists, concentrating on two cases: topological modular forms (tmf) twisted by degree four classes, and Morava K-theory twisted by degree seven (and even higher) classes. I will highlight the motivation and hints coming from physics, and propose a corresponding geometric description. This is joint work with Matthew Ando and with Craig Westerland.
Room Reservation Information
Room Number: 106 McAllister
Time: 2:30pm - 3:30pm