Algecom usually happens twice a year.
AlGeCom Committee:
Google map with pin on the building: https://maps.app.goo.gl/5dadCMWErvWz9H7v9
The speakers will be
Christian Gaetz (UCB)
Greta Panova (USC)
Linus Setiabrata (MIT)
Avery St Dizier (MSU)
Funding decisions have been made October 1. New registrants can still request funding, and we will try to accommodate requests but cannot guarantee it.
Stadium Lot B (approx. $3/hour) https://maps.app.goo.gl/Nqp9pt6ooZwBUEaR8
Behind Panera (free) https://maps.app.goo.gl/rWBkL8vP8tFVBna69
The Blackwell Inn (https://www.theblackwell.com) is the nearest hotel on campus. Room rates run approximately $200 - $300 per night. If you are interested in staying here, please contact us before *September 22* so that we can secure the OSU discount.
There is a row of standard business hotels along Olentangy River Road. The closest to campus is the Red Roof Inn; it is basic but reasonably priced. The Fairfield Inn and Holiday Inn are a little farther -- about 4 miles from campus -- but they provide shuttles to campus. If you are interested in staying in one of these hotels, please let us know by *October 3* so we can secure the OSU discount.
If you are looking for AirBnB options, good neighborhoods close to campus include: Victorian Village, Short North, Italian Village. Clintonville and German Village are also nice, but a bit farther away.
(All times are in the Eastern Time Zone)
Talks will be in room EA 170. Coffee and posters will be in the lobby outside the lecture hall.
Title: Grothendieck shenanigans: algebra meets integrable probability
Abstract: In his 2018 paper "Some Schubert shenanigans" Richard Stanley asked for the asymptotic behavior of the maximal principle specialization of a Schubert polynomial. Motivated by this, still open, question we explore the generalization to Grothendieck polynomials and uncover a rich statistical mechanical structure giving new permutons. The models via pipe dreams are tiling models, which can also be viewed as ensembles of lattice walks with various interaction constraints. We understand the typical Grothendieck permutations via the theory of the Totally Asymmetric Simple Exclusion Process (TASEP), which itself is analyzed by Schur functions. Deeper connections with free fermion 6 vertex models and domino tilings of the Aztec diamond allow us to describe the extreme cases of the original algebraic problem and to answer the question which permutations maximize the principle specialization of the Grothendieck polynomials at beta=1.
Based on joint work with A. H. Morales, L. Petrov, D. Yeliussizov.
Title: S\\
Abstract:
Title: Newton polytopes of Schubert and Grothendieck polynomials
Abstract: The Newton polytope conv{a : x^a appears in \frak S_w} of a Schubert polynomial has fascinating combinatorial and discrete-geometric properties, and the study of these polytopes in their own right tells us a lot about the Schubert polynomials themselves. I will survey some of the basic theory of these polytopes and discuss recent works, joint with Hafner--Mészáros--St. Dizier and with Chou, where we aim to extend this story to Grothendieck polynomials.
2:30-3:00pm Coffee Break
Title: Hypercube decompositions and combinatorial invariance for Kazhdan-Lusztig polynomials
Abstract:: Kazhdan-Lusztig polynomials are of foundational importance in geometric representation theory. Yet the Combinatorial Invariance Conjecture, due to Lusztig and to Dyer, suggests that they only depend on the combinatorics of Bruhat order. I'll describe joint work with Grant Barkley in which we adapt the hypercube decompositions introduced by Blundell-Buesing-Davies-Veličković-Williamson to prove this conjecture for Kazhdan-Lusztig R-polynomials in the case of elementary intervals in the symmetric group. This significantly generalizes the main previously known case of the conjecture, that of lower intervals.
4:00-5:30pm Poster Fair (probably with coffee)
6:00pm-??? Dinner at Understory, https://www.understorycbus.com