Nathan Reading (North Carolina State University) Joint work with Blasiak, Pun, and Summers. This perspective led us to settle decades old conjectures, providing tableaux enumeration formulas to do so. We recently discovered a new approach to the study of k-Schur functions they are a subclass of Catalan functions, G-equivariant Euler characteristics of vector bundles on the flag variety defined by raising operators and indexed by Dyck paths. However, the intricate combinatorics behind k-Schur functions involving the Bruhat order on the affine symmetric group made progress with generic t extremely hard to come by. In the special case when t=1, it was unexpectedly discovered that they are geometrically significant in an area called affine Schubert calculus and for computing Gromov-Witten invariants. Conjectures that k-Schur functions satisfy many strong and beautiful positivity properties compelled further study. The k-Schur functions arose via computer experimentation with symmetric functions called Macdonald polynomials they are symmetric functions with coefficients involving a t-parameter. George Seelinger (University of Virginia)Ībstract: We will discuss the inception, subsequent developments, and resolution of a symmetric function conjecture from the 1990’s. Josh Hallam (Loyola Marymount University)Īndrew Mosteller (Lenoir-Rhyne University) James Haglund (University of Pennsylvania) Timothy Goldberg (Lenoir-Rhyne University)Īndres Guerrero-Guzman (Wake Forest University) Holly Paige Chaos (Wake Forest University) Sarah Mason (Wake Forest), Ed Allen (Wake Forest), Patricia Hersh (NCSU), Cliff Smyth (UNC Greensboro) The Raleigh-Durham airport is a 90+ minute drive away. Hotel recommendations: We have a block of rooms reserved at the Best Western Plus University Inn, which you can reserve through the link or by calling 1(800) 780-7234 and referring to the TLCC.Īirport: The nearest airport, for those flying, is the Triad Airport (serving Winston-Salem and Greensboro and High Point). Parking: Here is a marked campus map with parking suggestions and directions to the lecture hall. You will have the opportunity to apply for funding when registering for the conference.ġ0-11am, Jennifer Morse, k-Schur functions in Catalania ( slides)ġ1:30am-12:30pm, Nathan Reading, Lattice congruences of the weak order: Algebra, combinatorics, and geometry ( slides)ġ2:30-2:30pm, lunch break (reservation at Zick’s)Ģ:30-3:30pm, Jim Haglund, Three faces of the Delta Conjecture ( slides)Ĥ-5pm, Adam Marcus, Polynomial Techniques in Combinatorial Linear Algebra ( slides)ĥ:30pm, informal conference dinner at Silo Most of this is restricted to US citizens and permanent residents, and what is available to others still requires that the participants be employed at a U.S. We have some funding available for some participants, especially for early-career participants. If you have any questions, feel free to email Patricia Hersh at are asking that participants pre-register if possible, as pre-registration is very helpful for planning our coffee breaks and obtaining funding to support these meetings. To register and/or apply for funding, please fill out this form. Speakers: James Haglund (University of Pennsylvania), Adam Marcus (Princeton University), Jennifer Morse (University of Virginia), Nathan Reading (North Carolina State University) Location: Wake Forest University in Winston-Salem, NC Seventeenth meeting: Saturday, March 30, 2019
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |