Asymptotic Algebraic Combinatorics

February 3 - 7, 2020

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, February 3, 2020

Morning Session
8:00 - 8:55 Check-In/Light Breakfast (Hosted by IPAM)
8:55 - 9:00 Welcome & Opening Remarks: Dean Miguel García-Garibay (Dean of Physical Sciences, UCLA) and Dima Shlyakhtenko (Director, IPAM)
9:00 - 9:50
10:00 - 10:15 Break
10:15 - 11:05
11:15 - 11:30 Break
11:30 - 12:20
Konstantin Matveev (Rutgers University)

Positivity for symmetric functions and vertex models

 
12:30 - 2:00 Lunch (on your own)

Afternoon Session
2:00 - 2:50
Vadim Gorin (Massachusetts Institute of Technology)

Shift invariance for the six-vertex model and directed polymers
PDF Presentation

 
3:00 - 3:15 Break
3:15 - 4:05
Alexei Borodin (Massachusetts Institute of Technology)

Observables of coloured stochastic vertex models and their polymer limits

4:15 - 4:30 Break
4:30 - 5:20
5:30 - 6:30 Poster Session & Reception (Hosted by IPAM)

Tuesday, February 4, 2020

Morning Session
8:00 - 9:00 Check-In/Breakfast (Hosted by IPAM)
9:00 - 9:50
Richard Kenyon (Yale University)

On the 5-Vertex Model
PDF Presentation

 
10:00 - 10:15 Break
10:15 - 11:05
Zhongyang Li (University of Connecticut)

XOR Ising model and constrained percolation
PDF Presentation

 
11:15 - 11:30 Break
11:30 - 12:20
Ian Alevy (University of Rochester)

Renormalizable Domain Exchange Maps
PDF Presentation

 
12:30 - 2:00 Lunch (on your own)

Afternoon Session
2:00 - 2:50
Pavlo Pylyavskyy (University of Minnesota, Twin Cities)

Algebraic entropy in combinatorial dynamical systems

 
3:00 - 3:10 Break
3:10 - 4:00
Damir Yeliussizov (Kazakh-British Technical University)

Bounds and inequalities for the Littlewood-Richardson coefficients
PDF Presentation

 
4:10 - 4:20 Break
4:20 - 5:10
Sevak Mkrtchyan (University of Rochester)

Plane partitions with periodic weights
PDF Presentation

 
5:20 Conclusion

Wednesday, February 5, 2020

Morning Session
8:00 - 9:00 Check-In/Breakfast (Hosted by IPAM)
9:00 - 9:50
Paul Zinn-Justin (University of Melbourne)

Schubert calculus and quantum integrability
PDF Presentation

 
10:00 - 10:15 Break
10:15 - 11:05
Fedor Petrov (Steklov Institute of Mathematics at St. Petersburg)

Inequalities for posets
PDF Presentation

 
11:15 - 11:30 Break
11:30 - 12:20
Alejandro Morales (University of California, Los Angeles (UCLA))

Asymptotics of principal evaluations of Schubert polynomials
PDF Presentation

 
12:30 - 12:40 Break
12:40 - 1:30
Christian Gaetz (Massachusetts Institute of Technology)

Antichains and intervals in the weak order

 
1:40 Conclusion

Thursday, February 6, 2020

Morning Session
8:00 - 9:00 Check-In/Breakfast (Hosted by IPAM)
9:00 - 9:50
Patrik Ferrari (Rheinische Friedrich-Wilhelms-Universität Bonn)

Stationary half-space last passage percolation

 
10:00 - 10:15 Break
10:15 - 11:05
11:15 - 11:30 Break
11:30 - 12:20
12:30 - 2:00 Lunch (on your own)

Afternoon Session
2:00 - 2:50
P. Di Francesco, University of Illinois and IPhT Saclay

Triangular Ice Combinatorics
PDF Presentation

 
3:00 - 3:10 Break
3:10 - 4:00
Amol Aggarwal (Harvard University)

Arctic Curves for Ice Models
PDF Presentation

 
4:10 - 4:20 Break
4:20 - 5:10
5:20 Conclusion

Friday, February 7, 2020

Morning Session
8:00 - 9:00 Check-In/Breakfast (Hosted by IPAM)
9:00 - 9:50
10:00 - 10:15 Break
10:10 - 11:00
Jehanne Dousse (CNRS, Université de Lyon )

Partition identities and $A_n^{(1)}$ crystals
PDF Presentation

 
11:20 - 12:10
 
12:20 Conclusion