New Connections in Integrable Systems

September 29 – October 2, 2020

General Information: This four-day workshop over Zoom will feature talks highlighting the applications of integrability across a broad range of disciplines like mathematical physics, combinatorics, representation theory, algebraic geometry and number theory. The conference will bring together participants from a wide range of backgrounds in order to share their work, exchange ideas and possibly forge new collaborations.

Organizers: Valentin Buciumas and Ole Warnaar. If you have any questions, please email Valentin at v.buciumas@uq.edu.au.

Time Zone: Australian Eastern Standard Time (AEST). Note that 9am AEST = 8am Tokyo time = 7pm EST the day before.

Registration: The zoom link and password will be sent by email to registered participants before the conference. If you're interested in attending, please register here.

Discussion sessions: The discussion sessions will take place over gather.town. The link and password for the gather.town rooms will be sent before the conference begins.

Abstracts: See here.

Schedule of talks

WIP means the talk contained work in progress, so if you are interested in the slides or the video, please contact the speaker directly.

Tuesday September 29

8:45–9:00 Opening      
9:00–9:50 Paul Zinn–Justin Bosonic lattice models and honeycombs for Grothendieck polynomials Slides     Video  
9:50–10:10 Discussion break          
10:10–11:00 Travis Scrimshaw Refined dual Grothendieck polynomials from integrability Slides     Video  
11:00–11:20 Discussion break          
11:20–12:10 Tomohiro Sasamoto Current moment formulas for 1D exclusion processes WIP     WIP  
12:10–12:30     Discussion break          

Wednesday September 30

9:00–9:50 Amol Aggarwal Half-stationary vertex models and fusion Slides     Video  
9:50–10:10 Discussion break          
10:10–11:00 Jules Lamers How coordinate Bethe ansatz works for Inozemtsev model Slides     Video  
11:00–11:20 Discussion break          
11:20–12:10 Leonid Petrov Symmetric functions from vertex models Slides     Video  
12:10–12:30     Discussion break          

Thursday October 1

9:00–9:50 Michael Wheeler Puzzles for non-symmetric Schur functions WIP     WIP  
9:50–10:10 Discussion break          
10:10–11:00 Ben Brubaker Integrable systems and p-adic representation theory Slides     Video  
11:00–11:20 Discussion break          
11:20–12:10 Anna Puskás A correction factor for Kac-Moody groups and t-deformed root multiplicities Slides     Video  
12:10–12:30     Discussion break          

Friday October 2

9:00–9:50 Iva Halacheva Branching in Schubert calculus Slides     Video  
9:50–10:10 Discussion break          
10:10–11:00 Junichi Shiraishi Some conjectures concerning non-stationary Ruijsenaars functions Slides     Video  
11:00–11:20 Discussion break          
11:20–12:10 Alexander Molev Symmetrization map, Casimir elements and Sugawara operators Slides     Video  
12:10–12:30     Discussion break