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Watch your step: Modeling on Time Scales (Prof. Raegan Higgins, Texas Tech University)

Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

Title: Watch your step: Modeling on Time Scales Speaker: Raegan Higgins, Department of Mathematics & Statistics, Texas Tech University Abstract: Generally, differential and difference equations are used in the mathematical modeling of physical systems. Our modeling approach uses dynamic equations on time scales. A time scale T is an arbitrary, nonempty, closed subset of the […]

The Fell topology and the modular Gromov-Hausdorff propinquity (Jiahui Yu, Pomona College)

Roberts North 105, CMC 320 E. 9th St., Claremont, CA, United States

Given a unital AF (approximately finite-dimensional) algebra A equipped with a faithful tracial state, we equip each (norm-closed two-sided) ideal of A with a metrized quantum vector bundle structure, when canonically viewed as a module over A, in the sense of Latrémolière using previous work of Aguilar and Latrémolière. Moreover, we show that convergence of […]

GEMS March 4th Session

Harvey Mudd College at the Shanahan Teaching and Learning Center 301 Platt Blvd., Claremont, CA, United States

Sometimes Pi Equals 4 (Prof. Cornelia van Cott, University of San Francisco)

Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

Title: Sometimes Pi Equals 4 Speaker: Cornelia van Cott, Department of Mathematics, University of San Francisco Abstract: Most of your mathematical life, you've known that pi is a number somewhere between 3.1 and 3.2. But if we exchange the usual notion of distance in two-dimensional space for others, pi can be any of an infinite number […]

Existence and uniqueness of minimizers in variational problems (Wilfrid Gangbo, UCLA)

Roberts North 105, CMC 320 E. 9th St., Claremont, CA, United States

We comment on the main steps to take when studying some variational problems. This includes optimization problems arising in geometry, machine learning, non linear elasticity, fluid mechanics, etc... For the sake of illustration, in this talk, we keep our focus on a minimization problem obtained after a time-discretization of the incompressible Navier-Stokes equations. Elementary geometric […]

Deniz Sarikaya on Narratives of Mathematical Practice (and why they matter!)

Claremont, CA, United States

Deniz Sarikaya joining us from the Technical University of Denmark and speaking on "Narratives of Mathematical Practice (and why they matter!)" (abstract below).   The speaker will join via zoom, but there will be a live audience on the second floor of Pitzer College's Gold Student Center in the Multipurpose room (in the building marked 3 here: https://www.pitzer.edu/about/maps-directions/quick-reference-map/). […]

Robust properties of graphs (Asaf Ferber, UC Irvine)

Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United States

In this talk we will consider some notions of `robustness' of graph/hypergraph properties. We will survey some existing results and will try to emphasize the following new result (joint with Adva Mond and Kaarel Haenni): The binomial random digraph $D_{n,p}$ typically contains the minimum between the minimum out- and in-degrees many edge-disjoint Hamilton cycles, given […]

How Many Cards Can Avoid a SET? (Prof. Mohamed Omar, Harvey Mudd College)

Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

Title: How Many Cards Can Avoid a SET? Speaker: Mohamed Omar, Department of Mathematics, Harvey Mudd College Abstract: SET is a popular real-time card game where players search for special triples of cards among a table of cards that are face-up. A common issue when playing the game is not having a SET among theface-up cards. What is […]

The Hilbert space approach in the theory of differential equations (Adolfo Rumbos, Pomona College)

Roberts North 105, CMC 320 E. 9th St., Claremont, CA, United States

In this talk we discuss the Hilbert space approach, or the variational approach, in the study of questions of existence and multiplicity for some two-point boundary-value problems for nonlinear, second order, ordinary differential equations (ODEs).  We illustrate the use of the Hilbert space approach in obtaining some old existence results for periodic solutions of a […]

Applied Math Seminar: Linh Huynh (University of Utah)

Claremont, CA, United States

Title:Inferring birth and death rates from population size time series data Abstract: Models of population dynamics are usually formulated and analyzed with net growth rates. However, separately identifying birth and death rates is significant in various biological applications such as disambiguating (1) exploitation vs. interference competition in ecology, (2) bacteriostatic vs. bactericidal antibiotics in clinical […]

The Smith normal form of a polynomial of a random integral matrix (Gilyoung Cheong, UC Irvine)

Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United States

Given a prime p, let P(t) be a non-constant monic polynomial in t over the ring of p-adic integers. Let X(n) be an n x n uniformly random (0,1)-matrix over the same ring. We compute the asymptotic distribution of the cokernel of P(X(n)) as n goes to infinity. When P(t) is square-free modulo p, this […]