MenuEvents for 03/24/2025 from all calendars
Geometry Seminar
Time: 3:00PM - 3:50PM
Location: BLOC 302
Speaker: Tianyi Yu, UQAM
Title: An insertion algorithm for Schubert Cauchy identity via Pieri formula
Abstract: The dual Cauchy identity for Schur polynomials is a fundamental result in symmetric function theory and representation theory. It states that the sum of products of two Schur polynomials indexed by conjugate partitions, in two sets of variables, equals the generating function of binary matrices. Combinatorially, this identity is realized through the dual RSK insertion, which provides a bijection between such matrices and pairs of tableaux.
Schubert polynomials, often seen as non-symmetric generalizations of Schur polynomials, satisfy a Cauchy-type formula involving triangular binary matrices. We present an explicit insertion algorithm that establishes a bijection realizing this identity using the Pieri rule. Remarkably, our algorithm retains key features of the classical RSK and naturally involves traversals of increasing binary trees. This talk is based on ongoing joint work with Johnny Gao and Sylvester Zhang.
Applied Math Seminar
Time: 4:00PM - 5:00PM
Location: Zoom
Speaker: Andre Nachbin, WPI, Worcester, MA
Title: Water waves on graphs
Abstract: We have deduced a weakly nonlinear, weakly dispersive Boussinesq system for water waves on a 1D branching channel, namely on a graph. The model required a new compatibility condition at the graph’s node, where the main reach bifurcates into two reaches. The new nonlinear compatibility condition generalizes the well-known Neumann-Kirchhoff condition and includes forking angles in a systematic fashion. We present numerical simulations comparing solitary waves on the 1D (reduced) graph model with results of the (parent) 2D model, where a compatibility condition is not needed. We will comment on new problems that arise. Join :https://tamu.zoom.us/j/94220070032
Student/Postdoc Working Geometry Seminar
Time: 4:00PM - 5:00PM
Location: BLOC 302
Speaker: JM Landsberg, Texas A&M
Title: Why study vector bundles on projective space?
Abstract: I will explain two motivations for studying vector bundles on projective space: Hartshorne's conjecture on complete intersections and spaces of matrices of constant rank.
Math Club Meeting: Mathematics of the Penrose tiling
Time: 7:00PM - 8:00PM
Location: BLOC 150
Speaker: Volodymyr Nekrashevych
Description: We will discuss Penrose tilings and their properties such as self-similarity and aperiodicity. I will also explain the "cut-and-project" interpretation: how aperiodic Penrose tilings are intersections of a periodic tessellation of a 4D space by an "irrational slope" 2D plane. There will be refreshments provided, and the meeting will satisfy credit for MATH 170. We also have a Math Club Discord which contains info about our meetings and may also be used to contact our officers and other members! You can sign up at this link here. For questions, comments, and concerns, please contact us at mathclub@tamu.edu.
