Seminarium KMMF "Teoria Dwoistości"

In the last decade, there has been quite some work on proofs of quantization of Hall conductance (in interacting systems). In particular, the work of Hastings and Michalakis provided a breakthrough perspective.In a few papers with Bachmann, Bols and Fraas, we developed a related approach that seems somehow shorter. I will try to discuss all this, realizing of course that the audience is not familiar with the subject. Our work also provides an explicit route from Hamiltonian models to topological quantum field theories and I will try to explain this as well. Finally, I could talk about more recent work on generalizing the concept of Thouless pumps to charges that are not related to a U(1) symmetry. To attend our online seminar, please use the Zoom identificator: https://us02web.zoom.us/j/8145917621?pwd=bVVKend0SHFKNUNyUUQ4cWNRK3laZz09