Dates: December 16--18, 2026
Venue: Tohoku University, TOKYO ELECTRON House of Creativity
Title: TBA
Abstract: TBA
Title: TBA
Abstract: TBA
Kazuhiro Hikami (Kyushu University)
Title: TBA
Abstract: TBA
Ivan Ip (Hong Kong University of Science and Technology)
Title: TBA
Abstract: TBA
Kohei Iwaki (The University of Tokyo)
Title: TBA
Abstract: TBA
Hyun Kyu Kim (Korea Institute for Advanced Study)
Title: Frobenius homomorphisms for stated SL_n-skein algebras of surfaces
Abstract: The SL_n-skein algebra of an oriented surface S is a quantization of the SL_n-character variety of S, built from framed links and SL_n-webs, which are certain directed graphs with n-valent vertices, living in the thickened surface S x (-1,1). The stated SL_n-skein algebra is a generalization to the case when S has a boundary. When the quantum parameter q is specialized at a root of unity (with some condition), we consider the so-called Frobenius homomorphism from the stated SL_n-skein algebra of S at q=1 to that algebra at the root of unity q. This homomorphism can be viewed as a surface generalization of Parshall and Wang's Frobenius map for quantized coordinate rings for SL_n, as well as of the map for the Grothendieck rings of the categories of representations of quantized universal enveloping algebras for sl_n induced by Lusztig's Frobenius map for these algebras. We review basics of this homomorphism and some of its recent developments, focusing on applications to quantum cluster algebras and varieties, possibly through Fock-Goncharov duality. The talk is based on the joint work (arXiv:2504.08657) with Thang Lê and Zhihao Wang.
Wookyung Kim (Kyoto University)
Title: TBA
Abstract: TBA
Tamaki Nagaoka (Ochanomizu University)
Title: TBA
Abstract: TBA
Yuichi Nohara (Meiji University)
Title: TBA
Abstract: TBA
Paul Norbury (The University of Melbourne)
Title: TBA
Abstract: TBA
Yuji Terashima (Tohoku University)
Title: TBA
Abstract: TBA
Teruhisa Tsuda (Aoyama Gakuin University)
Title: TBA
Abstract: TBA
Dongjian Wu (Shanghai Institute of Mathematics and Interdisciplinary Sciences)
Title: TBA
Abstract: TBA
Jeff York Ye (National University of Singapore)
Title: TBA
Abstract: TBA
Supported by
JSPS KAKENHI Grants-in-Aid for Scientific Research: Grant numbers .
Organizing Committee:
Tsukasa Ishibashi (Tohoku University, tsukasa.ishibashi.a6[at]tohoku.ac.jp)
Shunsuke Kano (MathCCS, Tohoku University, s.kano[at]tohoku.ac.jp)
Koji Hasegawa (Tohoku University)
Yuji Terashima (Tohoku University, yujiterashima[at]tohoku.ac.jp)
Masaki Ogawa (Kobe University)
Takeru Asaka (Tohoku University)