Andrea Solotar, Universidad de Buenos Aires, Argentina
11 de mayo de 2026
Área: Álgebra homológica
TÍTULO: Algebraic versions of T² and of P¹× P¹ and Hochschild cohomology
FECHA: 11 de mayo de 2026
HORA: 4:00 pm México, 5:00 pm Colombia, 7:00 pm Brasil.
Resumen
We analyze the Hochschild cohomology of triangular algebras that capture some aspects of the geometry and topology of the torus and of P¹× P¹, as well as of the deformations of these algebras. In particular, this shows that the cup product in the Hochschild cohomology of a triangular algebra generally does not follow the intuition from monomial algebras.
Our examples also demonstrate that the Hochschild cohomology of a deformation of an algebra may not undergo a reduction of dimension but still have a different cup product structure, and that the Hochschild cohomologies of the deformations of two derivatively equivalent algebras can exhibit remarkably different behaviors.
Chairs
Andrea Hurtado y Brian Grajales