Program
Teichmuller theory and related topics
Student No.:100
Time:August 24-26
Instructor:Qiongling Li, Zhe Sun, Yunhui Wu  
Place:Jin Chun Yuan West Building, Tsinghua University
Starting Date:2018-8-24
Ending Date:2018-8-26

Description: Teichmuller theory closely interacts with low dimensional topology, geometric group theory, hyperbolic geometry, moduli space, complex analysis, dynamic systems and translation surfaces, Higgs bundles and harmonic maps, cluster algebra and geometric representation theory, mirror symmetry and geometric Langlands. The goal of this mini workshop is to bring together people from various fields to discuss recent developments in this area, and offer an opportunity for all the participants to make intensive exchanges of ideas.


Speakers:
• Brian Collier (University of Maryland)
• Zhong Li (Peking University)
• Lixin Liu (Sun Yat-Sen University)
• Yi Liu (BICMR, Peking University)
• Xin Nie (Korea Institute for Advanced Study)
• Huiping Pan (Jinan University)
• Li Sheng (Sichuan University)
• Nicolas Templier (Cornell University)
• Binbin Xu (Luxembourg University)
• Hao Xu (Zhejiang University)
• Tian Yang (Texas A&M University)
• Wenyuan Yang (BICMR, Peking University)
• Fei Yu (Zhejiang University)
• Tengren Zhang (National University of Singapore)
• Ying Zhang (Soochow University)


If you have any questions, please contact the organizers:
Qiongling Li (qiongling.li@gmail.com)
Zhe Sun (sunzhe1985@gmail.com)
Yunhui Wu (yhwu@math.tsinghua.edu.cn)


Schedule:
Friday, August 24, 2018
14:50–15:40 Zhong Li
Reich theorem and Reich points

15:40–15:50 Tea break

15:50–16:40 Tian Yang
Some recent progress on the volume conjecture for the Turaev-Viro invariants

16:40–17:10 Tea break

17:10–18:00 Wenyuan Yang
The asymptotic geometry of statistically convex- compact actions

18:00– Dinner

Saturday, August 25, 2018
08:30–09:20 Nicolas Templier
Mirror symmetry for minuscule flag varieties

09:20–09:30 Tea break

09:30–10:20 Hao Xu
TBA

10:20–10:50 Tea break

10:50–11:40 Lixin Liu
Variation of Extremal Length Functions on Teichmuller Space

11:40–14:00 Lunch

14:00–14:50 Li Sheng
Goodness, incompleteness and the moduli space of Riemann surfaces

14:50–15:00 Tea break

15:00–15:50 Fei Yu
Dynamical zeta functions and the first Chern class

15:50–16:20 Tea break

16:20–17:10 Huiping Pan
Affine equivalence and saddle connection graphs of translation surfaces

18:00– Dinner

Sunday, August 26, 2018
08:30–09:20 Yi Liu
Virtual homological spectral radii for surface automorphisms

09:20–09:30 Tea break

09:30–10:20 Tengren Zhang
Hitchin representations and proper actions

10:20–10:50 Tea break

10:50–11:40 Xin Nie
Convex domains in the projective plane and holomorphic cubic differentials

11:40–14:00 Lunch

14:00–14:50 Brian Collier
Higher Teichmuller components for SO(p, q)

14:50–15:00 Tea break

15:00–15:50 Binbin Xu
Carrier graphs for PSL(2,C) representations of the rank two free group

15:50–16:20 Tea break

16:20–17:10 Ying Zhang
Minimizing a pair of intersecting simple closed geodesics in relative Teichmuller spaces of the once punctured torus

18:00– Dinner