Top-level heading

Band bases as common triangular bases in skein algebras

Categoria
Altro (categoria non censita)
Categoria non censita
Algebra and Representation Theory Seminar (ARTS)
Data e ora inizio evento
Data e ora fine evento
Aula
Altro (Aula esterna al Dipartimento)
Sede

Dipartimento di Matematica, U Roma Tor Vergata

Aula esterna
Aula Dal Passo
Speaker
Fan Qin (Normal U Beijing)
In this talk, we first review the band bases of the skein algebras (equivalently, the quantum cluster algebras) associated with unpunctured surfaces. We then show that these bases coincide with the common triangular bases, that is, the Kazhdan-Lusztig-type bases of these quantum cluster algebras. In our approach to this result, we discover a phenomenon in which the null loops involved are arranged in configurations resembling beads on a necklace. This is a joint work with Chao Shen.