Spectral Theory Reading Seminar
Organizer: Wencai Liu
Goal: The reading seminar targets young researchers. The goal is to create a friendly research community where people can share their experience, present their ongoing projects, as well as motivate other members.
Structure:One or two topics will be chosen every semester from various areas. All participants are very welcome to propose topics.
Currently, I have several topics at hand: periodic operators on trees, discrepancy and isotropic discrepancy of shift and skew-shift, unique continuation results, gap labelling conjecture, Diophantine approximations, Floquet theory, quasi-periodic operators, random Schrodinger operators, Kolmogorov-Arnold-Moser theorem.
After figuring out topics, several articles will be correspondingly chosen. They can be classical papers, survey articles and most recent preprints.
Every graduate student is highly encouraged to do 2 or 3 presentations every semester. All participants can present their reseach outcomes and also ongoing projects in seminar.
Each semester, I expect having one senior graduate student or postdoc assist in organizing the seminar.
Schedules
Spring 2022: Irreducibility of the Bloch variety of a family of periodic operators.
Spring 2021: Critical almost Mathieu operators in the rational case and the Aomoto's index theorem.
Key Participants in Spring 2022:
Postdocs and Graduate students: Rodrigo Matos, Matthew Faust and Jordy Garcia
Key Participants in Spring 2021:
Postdocs: Burak Hatinoglu, Rodrigo Matos, Weinan Wang
Graduate students: Jorge Villalobos Alvarado, Alberto Takase, Kang Lv, Matthew Powell, Matthew Faust, Marshall King, Alexander Weygandt, Lee Fisher, Sheagan John
Key Participants in Fall 2020:
Postdocs: Burak Hatinoglu, Rodrigo Matos, Jianchao Wu
Graduate students: Jorge Villalobos Alvarado, Matthew Faust, Marshall King, Kang Lv, Quyuan Lin, Matthew Powell
Key Participants in Spring 2020:
Postdocs: Hao Guo, Jianchao Wu
Graduate students: Jintao Deng, Mahmood Ettehad, Burak Hatinoglu, Petr Naryshkin, James Oquinn, Alexander Weygandt, Xiaoyu Su, Krzysztof Swiecicki