Dear all,

The upcoming CART seminar is scheduled on November 8th (Friday), 10:00 - 11:00 (Korea time).

Speaker: Amanda Burcroff (Harvard University)

Title: Scattering Diagram and Generalized Positivity

Abstract: Cluster algebras are celebrated for their intriguing positivity properties. Two distinct proofs of this positivity have emerged: one through the combinatorics of Dyck paths, and another via scattering diagrams, which originate from mirror symmetry and were previously not combinatorially understood. Combining these approaches, we find a directly computable, manifestly positive, and elementary but highly nontrivial formula describing rank 2 scattering diagrams. Using this, we prove the Laurent positivity of generalized cluster algebras of all ranks, resolving a conjecture of Chekhov and Shapiro from 2014. This is joint work with Kyungyong Lee and Lang Mou.

You can join the seminar via the following

Zoom link: https://us06web.zoom.us/j/88924764772?pwd=9LluJetWgNnnNq946JFybbWouDSzyB.1

Meeting ID: 889 2476 4772

Passcode: 549977

Please feel free to forward this to anyone who might be interested. You can check out further information on CART seminar on our website (https://sites.google.com/view/cart-kias/).

Looking forward to seeing you at the seminar!

Best regards,

Jaeseong Oh