Informal seminar on combinatorics and representation theory
This is an informal seminar on combinatorics and representation theory.
In Winter 2021
discussed the combinatorics of q,t-Catalan numbers and Shuffle conjecture,
as well as their geometric counterparts:
affine Springer fibers and positroid varieties.
In Spring 2021 we will discuss combinatorics related to affine Schubert calculus.
Organizers: Erik Carlsson ,
Monica Vazirani .
The seminar meets on Mondays at 11am.
Notes from past quarters: Fall 2020 .
1/4 Organizational meeting. Notes
1/11 Erik: A combinatorial formula for the nabla operator
1/18 MLK Day
1/25 Erik continues
2/1 Erik continues
2/8 Joseph (recap from last quarter )
2/15 Presidents Day
2/22 Joseph continues
3/1 Eugene: sections 2-3 of [KLS]
3/8 Eugene: sections 4-5 of [KLS]
3/15, 3/22: Spring break
3/29 Eugene: section 7 of [KLS]
4/5 Anne: intro to affine Schubert calculus
4/12 Jianping on https://arxiv.org/abs/2103.09551
4/19 Jianping continued
4/26 Yue Zhao
5/3 Emi Brawley
notes , Josh Petrack
5/10 Milo Bechtloff Weising
[CM] E. Carlsson, A. Mellit. A combinatorial formula for the nabla operator. arXiv:2012.01627
[KLS] A. Knutson, T. Lam, D. Speyer. Positroid Varieties: Juggling and Geometry. arXiv:1111.3660
[GL] P. Galashin, T. Lam. Positroids, knots, and q,t-Catalan numbers.arXiv:2012.09745