Next talk

Leavitt path algebras, B-infty-algebras and Keller’s conjecture for singular Hochschild cohomology

I will first recall the relation between Leavitt path algebras and the singularity categories of radical-square-zero algebras. Using Leavitt path algebras, we confirm Keller’s conjecture for any radical-square-zero algebra: there is an isomorphism in the homotopy category of $B_\infty$-algebras between the Hochschild cochain complex of the dg singularity category and the singular Hochschild cochain complex of the algebra. Moreover, we prove that Keller’s conjecture is invariant under one-point (co)extensions and singular equivalences with levels. This is joint with Huanhuan Li and Zhengfang Wang.

To learn more about the FD Seminar, click here.
The complete list of previous talks at the FD Seminar is available here.
The talk will be broadcast through our BigBlueButton instance and will also be live-streamed (username: fd-seminar).
Subscribe to our mailing list to receive weekly annoucements and other important information about the FD Seminar.

Upcoming talks

Click on the title to see the abstract.

tau-Tilting Finite Algebras With Non-Empty Left Or Right Parts Are Representation-Finite

TBA

Preprojective algebras and fractional Calabi-Yau algebras

TBA

TBA

TBA

TBA

TBA

TBA