Topological Aspects of Condensed Matter Theory

Liste des Contributions

4. Bulk-edge correspondence in a hydrodynamic model, and its violation

Gian-Michele Graf (ETH Zürich)

25/09/2025 09:30

5. The K-theory of Temperley—Lieb subproduct systems

Francesca Arici (Leiden University)

25/09/2025 10:20

Subproduct systems arising from Temperley–Lieb combinatorics provide a rich class of quantum structures that interpolate between algebraic and topological features of noncommutative spaces. These systems naturally generate Cuntz–Pimsner algebras, which can be viewed as noncommutative analogues of function algebras on quantum homogeneous spaces or algebraic subsets of noncommutative...

2. Many-body spectral flow index and the Quantum Hall Effect

Clément Tauber (Université Paris Dauphine)

25/09/2025 11:40

We define a many-body topological index to classify invertible and U(1)-symmetric states over the CAR algebra of interacting electrons on an infinitely extended two-dimensional lattice. The definition relies on a magnetic flux insertion through the origin in a quasi-adiabatic way and on the properties of short range entangled states. The index is integer-valued and invariant under...

3. Zero-modes from tensor-monopoles

Pierre Delplace (ENS Lyon)

25/09/2025 14:20

Monopoles can be induced by band crossing points that generate a gauge-invariant vector field, the Berry curvature, whose flux is quantized. For instance, in 3D space, this flux  corresponds to the first Chern number. In turn, the value of this topological invariant gives the number of unidirectional modes, or spectral flow, of the system. In this talk, I would like to show that certain...

1. Local perturbations of Toeplitz matrices

Hermann Schulz-Baldes (FAU Erlangen)

25/09/2025 15:10

This talk is about the asymptotic spectral theory of tridiagonal Toeplitz matrices with matrix entries, with periodicity broken on a finite number of entries. Varying the ranks of these perturbations allow to interpolate between open boundary and circulant Toeplitz matrices. While the continuous parts of the limit spectrum only depends in a crucial manner on these ranks and no other aspect...