October 27, 2021
Mathematics department to host 60th William J. Spencer Lecture Oct. 28
Sara Billey, University of Washington, Seattle, will present the 60th William J. Spencer Lecture titled "Some Theorems in Asymptotic Algebraic Combinatorics" as part of the Mathematics Department Women Lecture Series in celebration of the 50th anniversary of the Association for Women in Mathematics. The lecture will be from 2:30-3:20 p.m. Thursday,Oct. 28, streamed on YouTube Live.
The abstract for the lecture: Asymptotic Combinatorics is a branch of mathematics that looks at limiting 1xbet online sports betting of combinatorial formulas. Our recent work has focused on generalizations of a classic formula for standard Young tableaux called the Hook Length Formula and its generalizations to using the major index statistic. Further examples include Stanley’s q-hook-content formula for semistandard tableaux and q-hook length formulas of Björner–Wachs related to linear extensions of labeled forests. We show that, while these limiting 1xbet online sports betting are "generically" asymptotically normal, there are uncountably many non-normal limit laws. More precisely, we introduce and completely describe the compact closure of the moduli space of 1xbet online sports betting of these statistics in several regimes. The additional limit 1xbet online sports betting involve generalized uniform sum 1xbet online sports betting which are topologically parameterized by certain decreasing sequence spaces with bounded 2-norm. The closure of the moduli space of these 1xbet online sports betting in the Lévy metric gives rise to the moduli space of DUSTPAN 1xbet online sports betting . As an application, we completely classify the limiting 1xbet online sports betting of the size statistic on plane partitions fitting in a box. This talk is based on joint work with Joshua Swanson at USC.
The math department is a part of 1xbet online sports betting ’s College of Arts and Sciences. To learn more about opportunities in math at 1xbet online sports betting , visit the math department website.