What is the Riemann hypothesis, and why does it matter?
Join our colloquium presented by Dr. Ken Ono on ‘What is the Riemann hypothesis, and why does it matter?’. Where: CELIS 116 When: May-2-2023,10:30 am
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De la maestría en UPRM al doctorado en U.S.A.
Estudiantes internacionales y de Puerto Rico, admitidos para hacer doctorado en distintas áreas, nos contarán su experiencia solicitando estudios graduados en Universidades de Estados Unidos. Nos darán recomendaciones para preparar una solicitud exitosa. Este panel es de gran valor para estudiantes que estén pensando hacer estudios graduados en USA después de terminar la maestría o…
Probabilistic solutions of fractional differential and partial differential equations and their Monte Carlo simulations
Dr. E. Suazo University of Texas, Rio Grande Valley Monday, April 3 5:30 p.m. The work in this presentation is four-fold. Firstly, we introduce an alternative approach to solve fractional ordinary differential equations as an expected value of a random time process. Using the latter, we present an interesting numerical approach based on Monte Carlo…
Numerical methods for PDE-constrained optimization problems governed by hyperbolic equations
Dr. Andreas Mang, University of Houston Mar-28-2023, 10:30 am Abstract- In this talk, we will discuss efficient numerical algorithms for the solution of PDE-constrained optimization problems governed by hyperbolic transport equations. We will consider applications in medical imaging, and, in particular, an inverse problem referred to as image registration. Here, we are given two images…
Una demostración corta de el último teorema de Fermat (para polinomios no constantes!)
Dr. Álvaro Lozano-Robledo, Universidad de Connecticut Mar-16-2023, 10:30 am Abstract– El “último” teorema de Fermat fue propuesto por Fermat en una nota famosa en los márgenes de un libro, alrededor de 1635. Desde entonces, muchos, muchos matemáticos han intentado encontrar la demostración de Fermat, pero una demostración corta nunca ha sido encontrada. La primera demostración…
Fourier analysis methods in era of AI
Dr. Manos Papadakis, University of Houston Mar-14-2023, 10:30 am Abstract- In this presentation we start with a premise Initiating a learning process for a neural network from zero may not always the best tactic Human brains which are the best we know tools to analyze images evolved over a billion of years and this evolution…
Atomicity and the Ascending Chain Condition on Principal Ideals
Felix Gotti, Massachusetts Institute of Technology Date: Wednesday, February 22, 5:00 pm. Abstract An integral domain R is atomic if each nonzero nonunit of R factors into irreducibles. Also, an integral domain satisfies the ascending chain condition on principal ideals (ACCP) if every increasing sequence of principal ideals (under inclusion) becomes constant from one point…
Primary decompositions
Irena Swanson, Purdue University Date: Thursday, February 23, 10:30 am. Abstract Primary decompositions are a basic tool in commutative algebra, but they also arise in other contexts. In this talk I will discuss some connections with algebraic geometry, partial differential equations, algebraic statistics, and computational complexity. Determinants of n x n matrices can be computed…
Absorbing Ideals In Commutative Rings: A Survey
Ayman Badawi, American University of Sharjah Date: Friday, February 24, 11:00 am. Abstract Let R be a commutative ring with 1 ≠ 0, and I be a proper ideal of R. Then I is called a 2-absorbing ideal of R if whenever abc ∈ I for some a, b, c ∈ R, then ab ∈…