Dear all,

The next CART seminar is scheduled for Mar 20th (Fri), 16:30 - 17:30 (Korea time). Note the unusual time!

Speaker: Jihyeug Jang (University of Geneva) Title: Grounded partitions Abstract: In this talk, I will discuss partition identities arising from affine Lie algebras. A classical example is provided by the Rogers--Ramanujan identities: Lepowsky and Wilson, building on earlier work of Lepowsky and Milne, gave a representation-theoretic proof of these identities. In particular, the product side arises from the principal specialisation of the Weyl--Kac character formula for highest weight modules of type A_1^{(1)} at level 3.   I will then turn to grounded partitions, combinatorial objects introduced by Dousse and Konan, motivated by the theory of perfect crystals developed by Kang, Kashiwara, Misra, Miwa, Nakashima, and Nakayashiki. While grounded partitions were originally introduced from the crystal-theoretic viewpoint, we instead take the reverse perspective: we use grounded partitions to describe the structure of the affine crystal of type A_1^{(1)} at level 2.

You can join the seminar via the following

Zoom link: https://kias-re-kr.zoom.us/j/88942840816?pwd=45KKaHbQadH1wIjY8UI5WnYWbDz1po.... Meeting ID: 889 4284 0816 Password: 123063

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,

Sin-Myung Lee