Arithmetical structures (Luis Garcia Puente, Colorado College)
An arithmetical structure on a finite, connected graph G without loops is given by an assignment of positive integers to the vertices such that, at each vertex, the integer there […]
An arithmetical structure on a finite, connected graph G without loops is given by an assignment of positive integers to the vertices such that, at each vertex, the integer there […]
Title: An introduction to algebraic statistics Speaker: Luis David Garcia Puente, Department of Mathematics and Computer Science, Colorado College Abstract: Algebraic statistics is an interdisciplinary field that uses tools from computational […]
Noncommutative metric geometry is the study of certain noncommuative algebras in the context of metric geometry. For instance, the Lipschitz constant (which measures the maximum slope obtained by a real-valued […]
This talk discusses a puzzle called “Spinning Switches,” based on a problem popularized by Martin Gardner in his February 1979 column of “Mathematical Games". This puzzle can be generalized to […]
Title: Between Yes and No: making decisions under uncertainty. Speaker: Ami Radunskaya, Department of Mathematics and Statistics, Pomona College Abstract: Often we attempt to answer a question with a “yes” or a […]
Title: Understanding scientific fields with network analysis and topic modeling Abstract: As scientific disciplines get larger, it becomes impossible for an individual researcher to be familiar with the entire body of […]
The slice rank polynomial method, motivated by groundbreaking work of Croot, Lev and Pach and refined by Tao, has opened the door to the resolution of many problems in extremal combinatorics. We survey these results and discuss contributions in several of the speaker's recent papers.
Title: How do mathematicians believe? Speaker: Brian P Katz (BK), Department of Mathematics and Statistics, CSU, Long Beach Abstract: Love it or hate it, many people believe that mathematics gives humans access […]
Let \mathcal{L}(X,Y) denote the normed vector space of all continuous operators from \(X\) to \(Y\), \(X^*\) be the dual space of \(X\), and \(\mathcal{K}(X,Y)\) denote the collection of all compact operators from \(X\) to \(Y\). Denote by \(T^{*} \in \mathcal{L}(Y^{*}, X^{*} )\) the adjoint operator of \(T\in \mathcal{L} (X, Y)\). The well known theorem of […]
Title: Approximating Quasi-Stationary Distributions with Interacting Reinforced Markov Chains Abstract: An important question in ecology is what conditions must be met for a population of interacting species to coexist. In […]
Given a lattice L, an extension of L is a lattice M of strictly greater rank so that L is equal to the intersection of the subspace spanned by L with M. In this talk, we will discus constructions of such lattice extensions with particular geometric invariants of M, such as the determinant, covering radius […]
Title: Human Computers in Astronomy: Women Astronomers at Mount Wilson Observatory during the Early Twentieth Century Speaker: Eun-Joo Ahn, Department of History, UC Santa Barbara Abstract: Mount Wilson Observatory was founded […]