Description
Flag varieties are important objects of interest in Lie theory, combinatorial algebraic geometry, and representation theory. The study of these varieties is well-established, and the theory describing them yields results that demonstrate a deep connection between geometry, algebra, and combinatorics. The combinatorial aspects of the flag variety enhance our understanding of its geometry and the geometry of its subvarieties, while simultaneously being informed by it.
This session will bring together researchers with interests in both geometric and combinatorial aspects of flag varieties and their
subvarieties: Schubert varieties,
Session organizers
- Martha Precup (Washington University in Saint Louis)
- Özlem Uğurlu (Saint Louis University)
Information
- Information on registration, lodging and travel can be found here
- Conference webpage and program
- Abstract submission (Deadline: August 26, 2025)
Confirmed Speakers
- Cristina Sabando Alvarez (Washington University in Saint Louis)
- Mahir Bilen Can (Tulane University)
- Ian Cavey (University of Illinois Urbana-Champaign)
- Judy Chiang (University of Minnesota)
- Mark Colarusso (University of South Alabama)
- Hugh Dennin (Ohio State University)
- Rebecca Goldin (George Mason University)
- William Graham (University of Georgia)
- Adam Daniel Gregory (Western Carolina University)
- Sean Griffin (University of North Texas)
- Andrew Hardt (University of Illinois Urbana-Champaign)
- Reuven Hodges (University of Kansas)
- Mee Seong Im (Johns Hopkins University)
- Nathan Lesnevich (Oklahoma State University)
- Cesar Meza (Washington University in Saint Louis)
- Fernando Diaz Morera (Fitchburg State University)
- Edward Richmond (Oklahoma State University)
- Ada Stelzer (University of Illinois Urbana-Champaign)
- Avery St. Dizier (Michigan State University)
- Julianna Tymoczko (Smith College)
- Rachel Wu (Washington University in Saint Louis)
- Alex Woo (University of Idaho)
- Alex Yong (University of Illinois Urbana-Champaign)
- Zijing Zhuang (Washington University in Saint Louis)
Schedule
The registration desk will be located in the Tegeler Hall Lobby. Registration Desk Hours:
- Saturday, October 18th: 7:00 am – 4:00 pm
- Sunday, October 19th: 7:30 am – 12:00 pm
Talks for our session will be held in Ritter Hall Room 231, with coffee available in the Ritter Hall Lobby.
Independently of the AMS, the SLU Department of Mathematics and Statistics will host a reception and poster session on Saturday from 5:00 pm - 6:00 pm on Saturday.
Saturday, October 18, 2025 Morning Session
| Time | Speaker | Abstract | Slides |
|---|---|---|---|
| 8:00 - 8:20 am | Ada Stelzer | Surprise polynomality and Schubert structure constants | |
| 8:30 - 8:50 am | Ian Cavey | Standard monomial theory and Hilbert schemes | Slides |
| 9:00 - 9:20 am | Judy Chiang | The Prism Tableau Model for Grothendieck Polynomials | |
| 9:30 - 9:50 am | Adam Daniel Gregory | Tableau Formula for Vexillary Double Edelman–Greene Coefficients | Slides |
| 10:00 - 10:20 am | Cesar Meza | Generic torus orbits in matrix Schubert varieties | Slides |
| 10:30 - 10:50 am | Andrew Hardt | Schubert Calculus Stability |
Saturday, October 18, 2025 Afternoon Session
| Time | Speaker | Abstract | Slides |
|---|---|---|---|
| 2:00 - 2:20 pm | Sean Griffin | Affine Springer fibers and the Shuffle and Delta Theorems | Slides |
| 2:30 - 2:50 pm | Mee Seong Im | Parabolic induction for Springer fibers of type C | Slides |
| 3:00 - 3:20 pm | Julianna Tymoczko | Quantum representations, webs, and Springer fibers | |
| 3:30 - 3:50 pm | Alexander Yong | A Combinatorial Formula for GL-Irreducible Multiplicities of Type A Quiver Loci | |
| 4:00 - 4:20 pm | Zijing Zhuang | On Peterson varieties and generalized Peterson varieties | |
| 4:30 - 4:50 pm | Edward Richmond | Staircase diagrams, pattern avoidance, and smooth Schubert varieties | Slides |
Sunday, October 19, 2025 Morning Session
| Time | Speaker | Abstract | Slides |
|---|---|---|---|
| 8:00 - 8:20 am | Mahir Bilen Can | Levi Bands and Toric Richardson Varieties | |
| 8:30 - 8:50 am | William Graham | Irreducible Characteristic Cycles for Orbit Closures of a Symmetric Subgroup | Slides |
| 9:00 - 9:20 am | Rachel Wu | Smoothing Schubert classes by homogeneous subvarieties | Slides |
| 9:30 - 9:50 am | Rebecca Goldin | On the cohomology rings of some Hessenberg varieties | Slides |
| 10:00 - 10:20 am | Mark Colarusso | Orbits on the product of two flags and a line and the Bruhat order | Slides |
| 10:30 - 10:50 am | Fernando Diaz Morera | Shellability of a Family of Symmetric Spaces | Slides |
Sunday, October 19, 2025 Afternoon Session
| Time | Speaker | Abstract | Slides |
|---|---|---|---|
| 2:00 - 2:20 pm | Hugh Dennin | Cauchy identities for Schubert polynomials and a dual RSK correspondence through pipe dreams | |
| 2:30 - 2:50 pm | Avery St. Dizier | Presenting the Cohomology of a Schubert Variety | |
| 3:00 - 3:20 pm | Reuven Hodges | Orbit Structures and Complexity in Schubert Varieties and Richardson Varieties | Slides |
| 3:30 - 3:50 pm | Nathan Lesnevich | The Second Cohomology of Hess(S,H) and the Dot Action in types B/C | Slides |
| 4:00 - 4:20 pm | Alexander Woo | Regular minimal indecomposable Hessenberg Varieties | Slides |
| 4:30 - 4:50 pm | Cristina Sabando Alvarez | Minimal Hessenberg functions for Schubert varieties |