Vic Reiner

Some REU Summer 2016 info

Dates: Wed June 8 - Tues Aug 2
Meetings in Vincent Hall 206
9am-noon on Wed-Thu-Fri, Mon-Tu-Wed-Thu-Fri June 8-17
10am-noon for Mon-Wed-Fri for the remainder until Aug. 2.

Mentors: A. Garver, G. Musiker, R. Patrias, V. Reiner*, T. Scrimshaw,

TAs:
Sunita Chepuri (VinH552),
Craig Corsi (VinH559),
Elise delMas (VinH556),
Will Grodzicki (VinH454),
Ben Strasser (VinH524)

Participants: Benjamin Anzis, Ethan Alwaise, Shuli Chen, Alexander (Yoa) Clifton, Peter Dillery, Yibo Gao, Jesse Kim, Ben Krakoff, Zhaoqi Li, Rohil Prasad, Madeline Shinners, Thuy-Duong (June) Vuong, Lisa Yang, Grace Zhang, Albert Zheng.

Final oral reports
Date Problem Talk titles and PDFs Practice talk TA Report draft TA
Wed July 27 3
4
8
Jacobi-Trudi determinants over finite fields
Shards and noncrossing tree partitions
Gelfand-Tsetlin polytopes: diameter and symmetry
Strasser
Corsi
Corsi
Strasser
Corsi
delMas/Corsi
Fri July 29 2
7
Toric mutations in the dP2 quiver
Coincidences among skew Grothendieck polynomials
delMas
Chepuri
Chepuri
Chepuri
Mon Aug 1 1
5
6
Sandpile groups of cubes
Bijections between Catalan objects
Stable cluster variables
Grodzicki
delMas
Strasser
Grodzicki
delMas
Strasser

Travis Scrimshaw's SAGE demo worksheet

Problems
No. (date) Mentor TAs Notes Sources Student
presenter(s)
Date(s) Students
interested
1 (Wed 6/8)
Sandpile groups
of cubes
Reiner Grodzicki Day 1 notes Bai
Ducey-Jalil
Benkart-Klivans-Reiner
Chandler-Sin-Xiang
B. Anzis



Mon 6/20



B. Anzis
R. Prasad
2 (Thu 6/9)
dP2 quiver
cluster variables
Musiker Chepuri Day 2 notes Lai-Musiker
Speyer
Kuo

Zhang
Leoni-Musiker-Neel-Turner
Hanany-Seong
BousquetMelou-Propp-West
A talk by Musiker
Eager-Franco (Sec. 9.4)
Z. Li
J. Vuong


Y. Gao





Wed 6/22
Fri 6/24


Wed 6/22





Y. Gao
Z. Li
J. Vuong
L. Yang
3 (Fri 6/10)
Probability that
Schur functions vanish
Patrias Strasser Day 3 notes Fulmek (Sec. 3 on Jacobi-Trudi)
Klein-Lewis-Morales
R. Prasad
E. Alwaise
Mon 6/20
Mon 6/20
B. Anzis
S. Chen
Y. Gao
J. Kim
Z. Li
4 (Mon 6/13)
Noncrossing
tree partitions
Garver Corsi Day 4 notes by Al
Day 4 notes by Vic
Garver-McConville
Petersen
Reading

Bjorner-Wachs
P. Dillery




Wed 6/22




Y. Clifton
P. Dillery
5 (Tue 6/14)
Rigged configurations
and Catalan objects
Scrimshaw delMas Day 5 notes by Travis
Day 5 notes by Vic
Reynolds's thesis
Haglund

Kirillov
S. Chen



Mon 6/27



S. Chen
G. Zhang
6 (Wed 6/15)
Stable cluster
variables
Musiker Strasser Day 6 notes
Text file with data (instructions within)
REU-Problem6.sage, a SAGE file
Young

Szendroi
Eager-Franco (Sec. 9.5)
Aganagic-Schaeffer (Appendix A)
G. Zhang




Mon 6/27




G. Zhang
7 (Thu 6/16)
Equality of skew
Grothendieck polynomials
Patrias Chepuri Day 7 notes McNamara-vanWilligenburg
Reiner-Shaw-vanWilligenburg
Billera-Thomas-vanWilligenburg
vanWilligenburg
Lam-Pylyavskyy
M. Shinners
B. Krakoff


A. Zheng
Wed 6/29
Wed 6/29


Mon 6/27
E. Alwaise
S. Chen
Y. Clifton
R. Prasad
M. Shinners
L. Yang
A. Zheng
8 (Fri 6/17)
Faces of Gelfand-Tsetlin
polytopes
Reiner delMas Day 8 notes McAllister's thesis (Chap. 4)
Stanley
An-Cho-Kim
Gusev-Kiritchenko-Timorin
Alexandersson
L. Yang
Y. Clifton
J. Kim


Fri 6/24
Fri 6/24
Wed 7/6


Y. Gao
B. Krakoff
L. Yang

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