Geometry, Algebra and Physics Seminar at KIAS
Geometry, Algebra and Physics Seminar at KIAS
organizer : Hyun Kyu KIM (Korea Institute for Advanced Study, hkim@kias.re.kr)
since Fall 2022
This is a not-so-regular seminar. Please contact Hyun Kyu Kim if you want to be in the mailing list. For speakers outside Korea, the talks will be conducted via Zoom mostly. If we have an offline talk, we will try to broadcast it real-time by Zoom. If the speaker agrees, we will record the lecture videos and make them available.
youtube channel for the recorded videos: https://www.youtube.com/@geometryalgebraandphysicskias
Upcoming talks
Kyungyong LEE (The University of Alabama, USA)
Jul. 31 (Fri), 2026, 14:00-15:30 (Korea time, UTC+9)
in person, Room 1423, KIAS
title: Jacobian conjecture : before and after 7/20/2026
abstract:
On 7/20/2026, the counterexample to the Jacobian conjecture was discovered with the help of Claude Fable. We give an overview of the past, present, and future of the Jacobian conjecture.
Hiroaki KARUO (Gakushuin University, Japan)
Aug. 7 (Fri), 2026, 14:00-15:00 (Korea time, UTC+9)
in person, Room 1423, KIAS
Zoom Meeting ID: 863 9802 5667, Passcode: 490805, link: https://kias-re-kr.zoom.us/j/86398025667?pwd=3J2uAMASqSfwsY6lYyYXPO3R1XHyjx.1
title: The formality of the HOMFLYPT skein algebra for surfaces of genus 0
abstract:
In the classical setting, the formality problem of the Goldman--Turaev Lie bialgebra is deeply related to the Kashiwara--Vergne problem by Alekseev--Kawazumi--Kuno--Naef. Recently, for surfaces of genus 0, Bar-Natan--Dancso--Hogan--Liu--Scherich gave an alternative proof of the formality using the Kontsevich integral inspired by Massuyeau's result. In particular, they used the height involution for the Turaev cobracket. On the other hand, Turaev showed that the HOMFLYPT skein algebra is a bi-quantization of the Goldman--Turaev Lie bialgebra. Then, the formality of the HOMFLYPT skein algebra is a natural question. In this talk, we show the formality of the HOMFLYPT skein algebra with respect to the multiplication and the height involution using the Kontsevich integral. This formality can be regarded as a quantization of the result by Bar-Natan et al., i.e. this completely covers their result. This is a joint with Shunsuke Tsuji (Meiji University).
Upcoming speakers (schedule to be settled)
Subhojoy GUPTA (Indian Institute of Science, India)
Past talks (<- click to see more information, including links for recorded videos)
2026.Jul.10, Michel VAN GARREL (University of Birmingham, UK): The Rising Sea for Enumerative Mirror Symmetry
2026.Jul.06, Geordie WILLIAMSON (University of Sydney, Australia): Can we describe canonical bases as the solutions of optimization problems?
2026.Jul.02, Kyu-Hwan LEE (University of Connecticut, USA): Auto-correlation functions of Sato-Tate distributions and identities of symplectic characters
2026.Jun.30, Anna ROMANOV (University of New South Wales, Australia): Lusztig-Vogan categories and a categorial approach to real reductive groups
2026.Jun.12, Mikhail KHOVANOV (Johns Hopkins University, USA): An introduction to sl(3) web categorification
2026.Jun.12, Lang MOU (UC Davis, USA): Modulated graphs with potentials and skew-symmetrizable cluster algebras
2026.Jun.10, Amanda BURCROFF (MIT, USA): Eventual Sign Coherence for Quivers
2026.Apr.2, Manish PATNAIK (University of Alberta, Canada): Hints of a double affine Kazhdan—Lusztig theory
2026.Jan.30, Rinat KASHAEV (Université de Genève, Switzerland): Applications of the Quantum Dilogarithm
2025.Dec.23, Vijay HIGGINS (UCLA, US): Skein identities at roots of unity
2025.Dec.5, Ben DAVISON (The Univ. of Edinburgh, UK): Tutte polynomials of graphs and symplectic duality
2025.Sep.19, Zhihao WANG (KIAS, Korea): Centers and Representations of the SL(n) quantum Teichmüller Space
2024.Jun.27, Volker GENZ (IBS-CGP, Korea): Crystals and Cluster Algebras
2024.May.24, Kyoung-Seog LEE (POSTECH, Korea): An introduction to moduli spaces of vector bundles on an algebraic curve
2024.May.03, Dmitriy VOLOSHYN (IBS-CGP, Korea): Cluster algebras and Poisson geometry
2024.Apr.30, Sunghyuk PARK (Harvard University, US): 3d quantum trace map
2024.Apr.25, Valentin BUCIUMAS (POSTECH, Korea): Hecke algebras, Whittaker functions and quantum groups
2023.Dec.5, Ben DAVISON (The Univ. of Edinburgh, UK): Strong positivity for quantum cluster algebras
2023.Oct.23, Sin-Myung LEE (KIAS, Korea): Representations of quantum affine (super)algebras from the R-matrix's point of view
2023.Oct.12, Hyunbin KIM (Yonsei Univ., Korea): Morse Superpotential and Blowups of Surfaces
2023.Jul.6, Yoosik KIM (Pusan National University, Korea): Infinitely many monotone Lagrangian tori in flag manifolds
2023.Jun.29, Wataru YUASA (Division of Mathematics and Mathematical Sciences, Kyoto University, Japan): State-clasp correspondence for skein algebras
2023.May.11, Tsukasa ISHIBASHI (Mathematical Institute, Tohoku University, Japan): Moduli space of decorated G-local systems and skein algebras
2023.Jan.12, Shunsuke KANO (Research Alliance Center for Mathematical Sciences, Tohoku University, Japan): Unbounded sl(3)-laminations and their shear coordinates
2022.Dec.22, Hironori OYA (Tokyo Institute of Technology, Japan): Wilson lines on the moduli space of $G$-local systems on a marked surface
2022.Dec.8, Kyoung-Seog LEE (IMSA, Univ. of Miami, US): Parabolic bundles on curves and their applications
2022.Oct.24, Daniel DOUGLAS (Yale University, US): Dimers, webs, and local systems
2022.Oct.17, Dylan ALLEGRETTI (Yau Mathematical Sciences Center at Tsinghua University, China): Teichmüller spaces, quadratic differentials, and cluster coordinates
links
(workshop held on Jan.29-31, 2024) Physical Mathematics and Beyond: the 1st workshop
(workshop held on Jun.17-19, 2024) Physical Mathematics and Beyond: the 2nd workshop
(workshop held on Jul.8-12, 2024) Summer School in Geometry And Physics
(conference on Jan.5-9, 2026) Geometry, Algebra and Physics at KIAS
(conference at SNU on Jun.15-19, 2026) Physical Mathematics 2026 in Korea
(conference at SNU scheduled on Jun.14-18, 2027) Physical Mathematics 2027 in Korea
last updated: Jul. 28, 2026