This is an online seminar that GHS students present GHS articles, where GHS refers to Ewain Gwynne, Nina Holden, and Xin Sun. The discussion is in Chinese for most of the times.
Incoming talks
4.15+ 庄子杰 2603.06268
田翊 Conformal dimension of the Brownian sphere is 2
Past talks
3.24 Cillian Doherty (guest speaker)
[DM25] The square summability of the CLE complementary component diameters
3.19 Philémon Bordereau (guest speaker)
[ABRW26+] Uniformization of CLE
Past talks (2025)
12.22 胡行健 Xingjian Hu (guest speaker)
[DSHPW25] Scaling limits of critical FK-decorated random planar maps with q=4
12.19 余瑶 Yao Yu (guest speaker)
[Yu25] Conditions for Equivalence of Random Interlacements and Random Walk Reflected off of Infinity
12.6 蔡格非 Gefei Cai
[Qian16] Conformal restriction: The trichordal case
11.29 汪元正 Yuanzheng Wang
[BG25] Directed distances in bipolar-oriented triangulations: exact exponents and scaling limits
11.22 Ron Nissim (guest speaker)
[CNS25] Expanded regimes of area law for lattice Yang-Mills theories
11.8 冯煜阳 Yuyang Feng
[BC25] Random punctured hyperbolic surfaces & the Brownian sphere
11.1 汪元正 Yuanzheng Wang
[AG23] Cutting γ-Liouville quantum gravity by Schramm-Loewner evolution for κ∉{γ2,16/γ2}
9.27 谢卓言 Zhuoyan Xie
[CFSX25] Disconnection probability of Brownian motion on an annulus
9.14 刘浩宇 Haoyu Liu
[KM24] SLEκ(ρ) processes in the light cone regime on Liouville quantum gravity
[KM22] Bipolar oriented random planar maps with large faces and exotic SLEκ(ρ) processes
8.28 夏傲腾 Aoteng Xia
Near-critical Ising model
8.10 吴保君 Baojun Wu
Introduction to b-6j symbols and their relations with LCFT, which is the background of:
[LMSWY25] Turaev-Viro invariant from the modular double of Uqsl(2;R)
7.25 杨耀松 Yaosong Yang
[MY25] On Loewner energy and curve composition
7.8 成镇宇 Jinwoo Sung (guest speaker)
[GS25] Random walk reflected off of infinity, with applications to uniform spanning forests and supercritical Liouville quantum gravity
7.4 田翊 Yi Tian
[MT25+] The canonical geodesic metric on simple CLE carpets
6.21/22 刘向益 Xiangyi Liu (guest speaker)
[GLLLS25+] Convergence in natural parametrization of random walk frontier
6.7/8 庄子杰 Zijie Zhuang
[LZ25] SLE contains a topological Sierpiński carpet when kappa is close to 8
5.31 金晟治 Shengzhi Jin
[BJ25] Conformal welding and the matter-Liouville-ghost factorisation
[BJ24] The CFT of SLE loop measures and the Kontsevich-Suhov conjecture
5.10 蔡格非 Gefei Cai
[ASYZ24] Boundary touching probability and nested-path exponent for non-simple CLE
5.1 樊硕 Shuo Fan
[FS25] Quasi-invariance for SLE welding measures
4.25 狄行健 Xingjian Di
[GKR23] Compactified Imaginary Liouville Theory
4.18 涂振峰 Zhenfeng Tu
[CG24] Gaussian curvature on random planar maps and Liouville quantum gravity
4.3 谢卓言 Zhuoyan Xie
[CGK15] Conformal Correlation Functions in the Brownian Loop Soup
[CGPR19] Brownian Loops, Layering Fields and Imaginary Gaussian Multiplicative Chaos
3.27 冯煜阳 Yuyang Feng
[GMS18] An invariance principle for ergodic scale-free random environments
3.13 汪元正 Yuanzheng Wang
[BGS22] Permutons, meanders, and SLE-decorated Liouville quantum gravity
3.9 庄子杰 Zijie Zhuang
[GM19] Confluence of geodesics in Liouville quantum gravity for γ ∈ (0, 2)
2.28 樊硕 Shuo Fan
[SWW22] Circle homeomorphisms with square summable diamond shears
2.20 蔡格非 Gefei Cai
[CG25] Uniqueness of generalized conformal restriction measures and MKS measures for c∈(0,1]
2.13 金晟治 Shengzhi Jin
[FLW23] Decomposition of global 2-SLE
2.7 狄行健 Xingjian Di
[BLR16] Dimers and imaginary geometry + [BLR19] + [BLR22]
1.24 刘浩宇 Haoyu Liu
[LWZ25] Mixing rate exponents of planar FK percolation and CLE
1.16 涂振峰 Zhenfeng Tu
[LRV19] The semiclassical limit of Liouville conformal field theory
1.9 冯煜阳 Yuyang Feng
[BHS18] Percolation on triangulations: a bijective path to Liouville quantum gravity
1.2 谢卓言 Zhuoyan Xie
[ARS21] FZZ formula of boundary LCFT via conformal welding
Past talks (2024)
12.20 刘润声 Runsheng Liu (guest speaker)
[GLLLL24] A boundary Harnack principle and its application to analyticity of 3D Brownian intersection exponents
12.13 涂振峰 Zhenfeng Tu
[Dub13] SLE and Virasoro representations: localization
12.5 樊硕 Shuo Fan
[CW23] Onsager-Machlup functional for SLE loop measures
11.28 蔡格非 Gefei Cai
[APPS20] Brownian loops and the central charge of a Liouville random surface
11.20 狄行健 Xingjian Di
[Gut09] Polygons, Polyominoes and Polycubes: Conformal field theory applied to loop models
11.7 金晟治 Shengzhi Jin
[BPW18] On the uniqueness of global multiple SLEs
10.31 刘浩宇 Haoyu Liu
[HL22] LQG weighted by CLE nesting statistics
10.23 冯煜阳 Yuyang Feng
[BG24] Reconstructing SLE-decorated Liouville quantum gravity surfaces from random permutons
10.17 庄子杰 Zijie Zhuang
[QW17] Coupling the GFF with free and with zero boundary conditions via common level lines
10.10 庄子杰 Zijie Zhuang
[DGZ24] Percolation of thick points of the log-correlated Gaussian field in high dimensions
10.3 涂振峰 Zhenfeng Tu
[BHSY22] Baxter permuton and LQG
9.24 金晟治 Shengzhi Jin
[ASY22] Quantum triangle and IG flow lines
9.13 成镇宇 Jinwoo Sung (guest speaker)
[Sung24] A deterministic proof of Loewner energy reversibility via local reversals
9.10 蔡格非 Gefei Cai
[ARS22] The moduli of annuli in random conformal geometry
9.2 樊硕 Shuo Fan
[GQW24] Infinitesimal conformal restriction and unitarizing measures for Virasoro algebra
8.26 冯煜阳 Yuyang Feng
[AHS21] Mating of trees for critical Liouville quantum gravity
8.19 刘浩宇 Haoyu Liu
[BG24] Random walk on sphere packings and Delaunay triangulations in arbitrary dimension
8.12 狄行健 Xingjian Di
[GHS16] Joint scaling limit of a bipolar-oriented triangulation and its dual in the peanosphere sense